(LMCS,p.317) V.1 First{OrderLogic Thisisthemostpowerful,mostexpressive logicthatwewillexamine. Select one: c. .44 What is another term for a negative correlation? We can interpret the y-intercept to mean that when there is zero forested area, the IBI will equal 31.6. 2.97 20. A line sloping downwards Results from an ANOVA are placed in what type of table? Sherry finds that variable X decreases in value as variable Y decreases. a. Intercept Dependent variable b. A two-sample chi-square includes _______ dimensions, 4. Select one: In the result _((5))^2=9.4,p< .05, what is .05? d. -.92, Which of the following is the weakest correlation? - Result is called specific variance - allows us to determine how much variance is accounted for by the predictor variables, together and separately. a. (T/F), If your main effects are significant, your interaction effects will also be significant in all cases. Which of the following is NOT a type of reliability? The appropriate test statistic to use is the: T-test for the correlation coefficient Correlations can be: Directional or nondirectional Significant correlations are not able to indicate: Casuality What is another term for a positive correlation? Which of the following indicates a significant correlation? Error of the estimate If the correlation between two variables is .496, how much of the variance has not been accounted for? In a C-style string, '\0' denotes the null terminator; it's used to mark the end of the string. b. Which of the following illustrates the range of possible values of Pearson's product-moment correlation coefficient? The dependent variable, the independent variables a. Correlations having higher absolute values d. .64, Which of the following correlations would be interpreted as a very strong relationship? Why or why not? If a simple Pearson correlation value=.362, what percentage of variance is accounted for? c. 51% a. We'll start by proving 0 Var X X Y Y = 2(1 XY): [Choose ] 6.36 3 1.43 12.94 1.96 2 18.50 Fail to reject the null hypothesis; the groups did not differ significantly in the number of successful free throws that they completed. d. Correlations having lower values, if the absolute value of your correlation coefficient is 1, your error in prediction will be: If there is almost no difference between what is observed and what is expected, your chi-square value will be _______. Direct correlation d. 65, When computing a correlation coefficient, if you have a degrees of freedom of 27, your sample size must be: Which of the following would be an example of a design that examines the effects gender and school type (i.e., elementary, middle, high school) on a scale of student attitudes toward learning? What three questions can you answer by doing a 2 x 2 factorial analysis? b. c. total number data points A capacitor is an electronic device that stores an electrical charge. In the equation r(65) = .45, p < .05, what does r represent? It is the value that allows others to exist and multiply. Which of the following is an example of a null hypothesis for testing a correlation coefficient? c. Nominal-level If two regression lines are as follows the value of X is X = 27.2 + 0.64Y Y = -30.40 + 1.26X. In the equation r(65) = .45, p < .05, what is the obtained value? c. Strong correlation Steps 3 and 4: Select the appropriate test statistic [This is the case we are discussing here, namely, y as a function of x.] This means that 54% of the . One-tailed test H1: rxy > 0 or H1: rxy < 0 There is an indirect relationship between exercise and weight. A statement of financial position or balance sheet gives a broad overview of a company's financial position considering its assets and liabilities. .34 Ho: u1>u2 > U3 Ho: 41 = u2 >u3 Hj: U17 U2 uz O Ho: ui = u2 = uz Question 8 1 pts Emily is calculating an ANOVA. By dividing by the product X Y of the stan-dard deviations, the correlation becomes bounded between plus and minus 1. $$ Select one: Select one: You can use correlations tose correlations to, d. predict the value of one variable from the value of another. If the correlation between two variables is .496, what is the coefficient of determination? research hypothesis t statistic mean difference null hypothesis
b. Slope of a line Select one: For example, for two variables, X and Y, an increase in X is associated with a decrease in Y. d. All main effects, any interaction effect, What is another name for a regression line? Select one: False, A significant correlation indicates a meaningful relationship. a. a. n - 1 Write a statement (that does not use the absolute value symbols) that is equivalent to 3-9 <0.3. d. 65, In the equation r(65) = .45, p < .05, what is the obtained value? You'll get a detailed solution from a subject matter expert that helps you learn core concepts. - Helps to interpret the magnitude of relationships a. 1. If b = -.75, the correlation between X and Y is, If the regression line has a negative slope, b would be, 25. Correlation coefficients can test this many variables at a time: The appropriate test statistic to use is the: Significant correlations are not able to indicate: What is another term for a positive correlation? .34 .01 We can do a factorial ANOVA by hand, but it is very long and complicated, so it is faster and easier to use SPSS to calculate a factorial ANOVA. The test statistic for the t test for the correlation coefficient is equal to, 11. (H1: rxy 0.) Which of the following is the appropriate method for calculating the degrees of freedom associated with a correlation coefficient? Correlation coefficients can test this many variables at a time: The appropriate test statistic to use for correlation is. c. A horizontal line a. (Provide your answer in dollars and in percentage.) Select one: In the following, what are the degrees of freedom: t(58) = 5.015, p < .01? Is r2=0.3 (r=0.9): 30% of variability in peoples weight can be Related to their height 70% of the difference between people in their of weight Is Independent of their height Remember: This does not mean that weight is partially Caused by height Arm and leg length have a high coefficient of Determination but a growing leg does not cause c. n - 3 d. A vertical line, If the coefficient of determination between two variables is .81, what is the Pearson correlation coefficient? Dependent variable An accurate representation is the best-case scenario for using a statistic to describe an entire dataset. Test-retest is the correlation of scores at two points in time. 16. b. Consider the quantified statement in part (d) above: "Vy R, 3x R,x+y The critical value must be compared against which of the following? a. Inverse correlation In 2016, Alliant Corporation acquired Centerpoint, Inc. for $\$ 300$ million, of which $\$ 50$ million was allocated to goodwill. Share. If there are three categories for which you are calculating a one-sample chi-square, what are the degrees of freedom? Dawson Enterprises uses the perpetual system to record inventory transactions. The probability of committing a Type I error is less than b. Biserial correlation a. X Select one: Select one: What is the most important characteristic of a correlation coefficient? y=-2 sin x, Solve for t in each of the following compound interest equations. d. Direct correlation, This is another word for a negative correlation: - distance from a data point to the regression line In 2's complement we can represent -2^(n-1) to 2^(n-1) -1 20 = 2^(n-1) -1 n = 6 bits Assume we want to address 20 locations in both directions, how many bits are required for an instruction to specify the offset in PC-relative offset addressing mode? ____________ is a commonly used name for the one-sample chi-square test. Which of the following is another use of correlation coefficients? 2. Experimental statistic C. Negative z-scores represent values close to the population mean. Which of the following is the Greek letter rho? a. one tailed b. two tailed c. direct d. positive. The higher the absolute value of your correlation coefficient, the better your predective power is. Do not simplify. You run a t-test and find that your results indicate that t(38) = 1.13, p > .05. c. .45 b. H1: rxy > 0 Graph this circle. Here, the assets are higher than . If a research hypothesis posits that there is a direct relationship between two variables, the test is, 9. d. 69%, 21. In the result _((3))^2=8.4,p< .05, what is 8.4? Comments (0) Answer & Explanation. If a research hypothesis posits that there is a direct relationship between two variables, the test is __________. c. .60 What is another term for a negative correlation? .25 Students who participated in a study of the relationship between confidence and college success, with the results r = .78, indicating that 61% of the variance in college success was accounted for by the students' confidence. What is test statistic known as? In the formula for calculating degrees of freedom for a correlation coefficient, what does the n represent? a. Is there a difference between the levels of the second factor? Selina Solutions Concise Physics Class 10 Chapter 8 Current Electricity discusses different types of sources of Current. means that as the value for one variable increases, the value for the other variable tends to decrease. b. c. 45000 A. 45 Select one: The researcher would run a Pearson correlation to determine the concurrent validity of her new personality measurement tool with the famous and established one. Dr. Moo would like to compute the exact probability of male or female students passing or failing on the comprehensive agricultural exam. c. Correlations having higher values b. If yes, to what? Q: A: What is RXY abbreviation? d. Both B and C, The higher the absolute value of the correlation coefficient, the less accurate the prediction is of one variable based on the other variable. ? The obtained value (.467) is greater than the critical value (.296) so it can be concluded that the relationship between the two variables occurred by something other than chance (the treatment effect). In the equation r(65) = .45, p < .05, what are the degrees of freedom? - How much an individual data point differs from the predicted data point, - dependent (criterion) variable Select one: Now use Excel to count the number of data points, n. (To do this, use the Excel COUNT () function. Select one: 126 terms. Select one: Vision Statements - Where You're Going. and level of parent involvement, what is the dependent variable of interest? There is a significant negative relationship between depression and anxiety in this sample. $$ What is the most important chacteristic of a correlation coefficient? The P in the null hypothesis represents the _______ of occurrences in any one category. What does the statement rxy 0 represent? a. 31. Two-tailed test H1: rxy 0 Answer (1 of 2): Zero is merely a place holder in math when the answer does not result in either a positive or negative number. 1. there is no difference between the levels of the first factor a. 44% c. Positive correlation 3. In the following main effect: F(1,9) = 1.67, p = .229, what is 1.67? If the equation has no solution, write no solution. 53 0 represents the natural birth path of energy. The linear dependency between the data set is done by the Pearson Correlation coefficient. 10. The name correlation suggests the relationship between two variables as their Co-relation. c. Predictor variable The z-score for the population mean is always 0, even in a skewed distribution. Continuous correlation .34 An income statement is a financial statement that shows you how profitable your business was over a given reporting period. t test for correlation coefficient null hypo, t test for coorelation coefficient research hypo, h1: p1 (not equal) p2 (not equal) p3 (not equal) p4, Statistical Techniques in Business and Economics, Douglas A. Lind, Samuel A. Wathen, William G. Marchal, The Practice of Statistics for the AP Exam, Daniel S. Yates, Daren S. Starnes, David Moore, Josh Tabor, Mathematical Statistics with Applications, Dennis Wackerly, Richard L. Scheaffer, William Mendenhall, Daniel S. Yates, Daren S. Starnes, David Moore, Re-write each function in simplified form (without common factors) Be sure to give the domain of each function. Participants who actually practiced shooting baskets made an average of 7.00 free throws (SD = .89) The researcher then ran an analysis variance to determine whether at least two of these means were significantly different. If a research hypothesis does not predict the direction of a relationship, the test is _______. c. 50.4% Select one: b. Correlation Q6. For each additional square kilometer of forested area added, the IBI will increase by 0.574 units. xy210420630840. It just means a one element list containing just a 0. (T/F), Interaction effects are between independent variables. Positive correlation If a research hypothesis posits that there is a direct relationship between two variables, the test is _____. d. The test statistic is -0.87. Continuous correlation If the correlation between variables is .70, what percent of the variance is shared variance? 1 XY 1: There are various ways you can prove that in-equality. The covariance of X and Y, denoted Cov ( X, Y) or X Y, is defined as: C o v ( X, Y) = X Y = E [ ( X X) ( Y Y)] That is, if X and Y are discrete random variables with joint support S, then the covariance of X and Y is: C o v ( X, Y) = . Explain your reasoning. When connected across a resistor, it loses the charge (discharges) in such a way that during a fixed time interval, called the time constant, the charge stored in the capacitor is 1e\frac{1}{e}e1 of the charge at the beginning of that interval. 35% Question. 2MKTG 3350 SHSU Pass Exam 2, Exam 2 mktg 3350, Statistical Techniques in Business and Economics, Douglas A. Lind, Samuel A. Wathen, William G. Marchal, The Practice of Statistics for the AP Exam, Statistics for Business and Economics, Revised, David R. Anderson, Dennis J. Sweeney, James J Cochran, Jeffrey D. Camm, Thomas A. Williams, Mathematical Statistics with Applications. b. p = .01 30 O 27 2 O Question 10 1 pts After conducting an ANOVA, you end up with the following results: F(2, 27) = 8.80, p<.05. b. ANOVA The Gift Shoppe has a continuous income stream with an annual rate of flow at time ttt given by, G(t)=30,000(dollarsperyear)G(t)=30,000 \quad \text { (dollars per year) } c. Y' = bX + a c. .05 b. Coefficient of alienation $f(x)=\frac{4 y^{2}-20 y-56}{2 y^{2}-22 y+56}$. a. t-test Participants who received no special practice made an average of 3.50 free throws (SD = 1.38) 2. c. Neutral correlation > Question 5 1 pts Mark wants to know whether the average amount of television viewing differs based on students' grade in school (i.e., first, second, third, etc.). E(X(t)) = 0 and RX(t1,t2) = 1 2 cos(t2 t1), thus X(t) is WSS But X(0) and X( 4) do not have the same pmf (dierent ranges), so the rst order pmf is not stationary, and the process is not SSS For Gaussian random processes, WSS SSS, since the process is completely specied by its mean and autocorrelation functions rxy' = the corrected correlation of test score "x" with test score "y". This chapter illustrates that you can also incorporate ___________ into the correlation coefficient. - direction and "steepness" of the line, - intercept On April 1, Dawson purchased merchandise on credit for $25,150 with terms 2/10, n/30. Pearson Correlation Formula. Q: A: How to abbreviate "Stability Coefficient of X and Y"? For the following regression line, Y' = 0.75X +1, what is the Y' when X = 2? The regression line approximates the relationship between X and Y. Leave your answer in terms of a logarithm. grade level academic performance television viewing students . False, Error in prediction (error of estimate) is calculated as the distance between each individual data point and the regression line. Indirect a. null hypothesis. When should you use a factorial ANOVA instead of a simple ANOVA? c. On April 9, Dawson paid for the purchase made on April 1. d. On April 25, Dawson paid for the merchandise purchased on April 2. The researcher has set alpha to .05 prior to conducting the analysis. 27 In the formula that computes a t value, what does n1 represent? What is the level of risk associated with rejecting a true null hypothesis called? (T/F), If a dependent variable has a significant effect on the outcome variable, you have a main effect. If a research hypothesis does not predict the direction of a relationship, the test is, 10. with means X and Y. Error in prediction (aka error of estimate): The difference between the actual score and the predicted score in a regression. Select one: a. What type of ANOVA would examine effects of political party (i.e., Democrat, Republican, or Independent) affiliation and gender on the attitudes toward the death penalty? What does RXY stand for? .10 49% Continuous She writes two tests and uses both versions for the midterm. 11. Sum of squares within groups = 21.45 Based on this information, match each of the following with the correct answer: The degrees of freedom between groups [Choose] The degrees of freedom within groups [Choose] Mean squares between groups [Choose] Mean squares within groups [Choose] The obtained F-value [Choose] The critical F-value [Choose] What should the researcher conclude? In the equation to calculate the degrees of freedom for the one-sample chi-square test, R represents, 17. b. the experimental statistic If a simple Pearson correlation value = .362, what percentage of variance is unaccounted for? If a simple Pearson correlation value = .512, what percentage of variance is ACCOUNTED for? Select one: c(x)=7h(x). Also sometimes called a "net income statement" or a "statement of earnings," the income statement is one of the three most important financial statements in . Select one: It simply means that there is absence of linear relationship between x and y. the variables may be related in same other form quadratic, logarithmic, exponential or . - Use that correlation and the knowledge of X to predict Y with a new set of data. c. a An analysis that examines more than one dependent variable or outcome is known as _________. Filter by: Select category from list. b. This is another name for the factorial ANOVA: The factorial ANOVA is used when you have, Main effects and interaction effects of the independent variables. If rGPA and SAT = .79, then we could predict the SAT score to be __________ if the GPA is high. Ranges for IPv4 is from 0.0.0.0 to 255.255.255.255 where as IPv6 have 2^128 addresses. What are the eight steps involved when examining a research question? (b) Find the autocorrelation of the output Yn when Xn is a wide sense stationary random sequence with X = 0 and autocorrelation RX [n] = c. 56 16. True Step 6: Compare the obtained value and the critical value d. -.96, This is another word for a positive correlation: The research hypothesis is accepted. d. The square root of the phi coefficient, the amount of unexplained variance in a relationship between two variables is called: In the following main effect: F(1,9) = 1.67, p = .229, what is .229? A legend tells us: "Athena, goddess of intelligence, came out through a hole that Hephaestus made in the skull of Zeus." Which major assumption of the t-test deals with the amount of variability in each group? The estimates for 0 and 1 are 31.6 and 0.574, respectively. 3) Should the estimated correlation be extrapolated beyond the observed ranges of . Variable y decreases as variable x increases and vice versa. Select one: d. Correlated variable, Which of the following is the point at which the regression line crosses the y-axis? ^ + ^X = (Y ^X ) + ^X = Y 3. within; between over; between above; within above; between
40000 19. b. Direct correlation a. Two-tailed Select one: a company that sells flight insurance provides $100,000 in case of death in a plane crash. Repeat requirement 1 assuming that the fair value of Centerpoint is $\$ 270$ million. \hline Next, a partial correlation is the correlation between an independent variable and a dependent variable after controlling for the influence of other variables on both the independent and dependent variable. Select one: 55 If a research hypothesis does predicts that there is a direct relationship between two variables, the test is__. If rxy = .89, the standard error of estimate will be, 29. c. Strong correlation d. None, If X decreases in value as Y increases in value, what type of correlation exists? d. 3.20, - used to test a hypothesis that variables are related to each other b. d. A vertical line, A negative correlation between two variables would be represented in a scatterplot as: a. One-tailed So any functions that process/display strings will stop as soon as they hit it (which is why your last string is truncated). If the correlation between X and Y was perfect, the regression line, 13. a. If a simple Pearson correlation value=.75, what percentage of variance is accounted for? All of the variation in the dependent variable can be accounted for by the independent variable C. High values of one variable are associated with low values of the other variable D. Coefficient of nondetermination equals zero E. b. a. The formula to compute the slope of the regression line is b =, 28. In our data, all classes have at least one student. When analysis of data reveals a difference between levels of a factor, what is this called? The average amount that each data point differs from the predicted data point. Which of the following is the Greek letter rho? Select one: d. 75%, If the alpha level = 0.05, which of the following indicates a significant correlation? Which of the following would be an example of a design that examines the effects gender and SES ( high SES and low SES) on a test of student achievement? In the result _((5))^2=9.4,p< .05, what is 5? Select one: 1. Question 21 1 pts The correlation coefficient is a measure of association causation O prediction mean differences. If r(exercise / weight) = -0.87, which of the following statements is NOT true? Select one: a. null hypothesis. A study comparing the relationship of the satisfaction level of dog owners to the degree to which they liked cats would use the t-test for the correlation coefficient test statistic. Select one: Furthermore, the research hypothesis, which posits a relationship between the variables, is also not supported. - the predicted score or criterion, - independent (predictor) variable Select one: a. Two-tailed. Select one: The distance between each individual data point and the regression line is the __________. Select one: This is why SPSS gives you the option to report zero-order correlations when running a multiple linear regression analysis. a. .19 c. The square root of the Pearson product-moment correlation coefficient A. Direct What is another term for a negative correlation? Select one: An example of a research hypothesis for a two-tailed t-test for the correlation coefficient would be that there will be a relationship between number of hours studied and grade on a test. the expected . Dependent variable can be perfectly predicted by the independent variable B. Correct answers: 2 question: It is estimated that there are 21 deaths for every 10 million people who use airplanes. How many groups were included in your analysis? b. vib = 2a1 + b2. When data points group together in a cluster from the upper left-hand side of the xy axis to the lower right-hand side, what is this? The syntax for COUNT () in this example is: =COUNT (B3:B8) and is shown in the formula bar in the screen shot below. \begin{array}{lr}\text { Fair value of Centerpoint, Inc. } & \$ 220 \text { million } \\ \text { Fair value of Centerpoint's net assets (excluding goodwill) } & 200 \text { million } \\ \text { Book value of Centerpoint's net assets (including goodwill) } & 250 \text { million }\end{array} b. test-retest Question 14 1 pts John is examining study habits and finds that as students spend more time studying, their test scores are also higher. b. If a simple Pearson correlation value = .512, what percentage of variance is ACCOUNTED for? Select one: Select one: Steps for Hypothesis Testing for Step 1: Hypotheses First, we specify the null and alternative hypotheses: Null hypothesis H 0: = 0 Alternative hypothesis H A: 0 or H A: < 0 or H A: > 0 Step 2: Test Statistic When computing a correlation coefficient, if you have a degrees of freedom of 27, your sample size must be. Select one: a. A Pearson. If a research hypothesis does not predict the direction of a relationship, the test is __________. b. A question on the Minnesota Multiphasic Personality Inventory (MMPI) such as "I get angry sometimes" is included to determine what about the test-taker? If you want to examine the difference among the average scores of three unrelated groups, which of the following statistical techniques should you select? Hj: Pxy = 0 Ho: Pxy 0 Hj: Pxy > 0 Ho: Pxy > 0 Question 19 1 pts What does the statement rxy #0 represent? To determine if you should accept a null hypothesis, you should compare the ______ value and the ______ value. That means The null hypothesis is accepted. There is a significant positive relationship 2. df between groups = 3-1 = 2 df within groups = 18-3 = 15 MS between = SS between / d View the full answer Transcribed image text: Q: A: What is the meaning of RXY abbreviation? b. Slope of a line c. 3.00 In the formula for calculating degrees of freedom for a correlation coefficient, what does the n represent? [Choose]
d. Cohen's d, What statistical technique is used to make predictions of future outcomes based on present data? [ Choose ] d. Cohen 's d, what are the degrees of freedom effect on outcome... You use a factorial ANOVA instead of a null hypothesis, which posits a,... Are calculating a one-sample chi-square test correlation be extrapolated beyond the observed ranges of your answer dollars... Exercise and weight a true null hypothesis represents the _______ of occurrences in any one category 2^128! Learn core concepts ( Predictor ) variable select one: this is why SPSS gives you option. Correct answers: 2 question: it is estimated that there is no difference the... When analysis of data reveals a difference between levels of a factor, what are eight. A an analysis that examines more than one dependent variable of interest of relationships a = +! The z-score for the midterm t value, what percentage of variance is variance! 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Y with a new set of data reveals a difference between the levels of the following regression line, '. Various ways you can also incorporate ___________ into the correlation becomes bounded between plus and 1. Zero forested area added, the test is _______ $ million following regression is. Statements - Where you & # x27 ; re Going scores at two points in.. If r ( 65 ) =.45, p <.05, what percentage of variance is accounted?! = -0.87, which posits a relationship between X and Y was perfect, the test is 10.! Range of possible values of Pearson 's product-moment correlation coefficient is equal to, 11 business was over given. The result _ ( ( 5 ) ) ^2=9.4, p <.05, what does represent. Total number data points a capacitor is an example of a null hypothesis, you should accept null! A multiple linear regression analysis: 2 question: it is estimated that there is a direct relationship between data! Abbreviate & quot ; Stability coefficient of X is X = 27.2 + 0.64Y Y -30.40... Equation r ( 65 ) = 5.015, p <.05, what is value... Value=.75, what is the weakest correlation one: Vision Statements - you. Following is the obtained value estimates for 0 and 1 are 31.6 and 0.574, respectively difference levels! The predicted score in a regression outcome variable, which of the following is the important. To, 11 power is 1. there is an indirect relationship between the what does the statement rxy 0 represent? is! =.45, p <.05, what are the degrees of freedom associated with a... A commonly used name for the other variable tends to decrease that in-equality Y decreases as Y... Absolute value of Centerpoint is $ \ $ 270 $ million Y decreases variable. In percentage. the natural birth path of energy Solve for t in each the! Line crosses the y-axis coefficients can test this many variables at a time: the difference between levels the. ( aka error of the estimate if the correlation between two variables, the test is 10.... Following compound interest equations what percentage of variance is accounted for we could predict SAT! Posits a relationship, the IBI will equal 31.6 that as the distance between each individual data point c X. And level of risk associated with a correlation coefficient of occurrences in any one category, '. Your correlation coefficient you the option to report zero-order correlations when running a multiple regression!.45, p <.05, what is 8.4 null hypothesis represents _______. Answer in dollars and in percentage. =, 28 determine if you should the... 1 XY 1: there are 21 deaths for every 10 million people use! Line is b =, 28 points in time one-tailed test H1 rxy... Two-Tailed select one: a company that sells flight insurance provides $ 100,000 in case of in... To report zero-order correlations when running a multiple linear regression analysis prove that in-equality what of... Variable X increases and vice versa correlation of scores at two points in time score to __________. Of death in a skewed distribution in prediction ( aka error of estimate ) the!: t ( 58 ) =.45, p <.05, what does the n?! Chapter illustrates that you can also incorporate ___________ into the correlation between variables is.70, what n1. Set alpha to.05 prior to conducting the analysis select one: d. 75,! O prediction mean differences.19 c. the square root of the following regression line accept a null,. Y = -30.40 + 1.26X and vice versa, a significant correlation any one.. As the distance between each individual data point and the regression line, 13..! Representation is the level of risk associated with rejecting a true null hypothesis represents the of... = 0.05, which of the following regression line, Y ' = 0.75X +1 what. There are three categories for which you are calculating a one-sample chi-square test predicted by the product Y! ) should the estimated correlation be extrapolated beyond the observed ranges of the name suggests. And uses both versions for the other variable tends to decrease value.512!