Solution:
If a correlation coefficient is 0.80, then: O A. The explanatory variable is usually less than...
Let r be the correlation coefficient. Denote the explanatory variable by X and the responsible variable by Y . Which statement is correct ? (A) Positive r indicates a perfect linear relationship between X and Y . (B) r is always a number between 0 and 1. (C) r is almost 0 if values of X’s and Y ’s are all positive. (D) The correlation of variables −X and Y is −r. (E) None of the above.
When calculating the correlation coefficient, it is important to specify which variable is the explanatory, and which is the response variable, because it affects the interpretation.
Match the linear correlation coefficient to the scatter diagram. The scales on the x- and y-axis are the same for each scatter diagram (a)r= - 1. (b) r= -0.992, (c) r= -0.049 Response (a) Scatter diagram Explanatory (b) Scatter diagram (c) Scatter diagram Response Question Explanatory Response Explanatory Match the linear correlation coefficient to the scatter diagram. r= -0.025 Choose the correct graph below. ОА. ОВ. OC. OD 2 wody ..: E E Explanatory Explanatory Explanatory Explanatory Click to select...
The multiple correlation of several variables with a dependent variable is a) less than the largest individual correlation. b) equal to the correlation of the dependent variable to the values predicted by the regression equation. c) noticeably less than the correlation of the dependent variable to the values predicted by the regression equation. d) It could take on any value
(True or False) If the correlation coefficient is positive, then above-average values of one variable are associated with above-average values of the other.
The correlation coefficient is a summary measure that Select one: a. is of limited use because it fails to indicate the direction of the relationship between the variables. b. indicates the change in Y for a one unit change in X. c. indicates the strength of linear relationship between a pair of quantitative variables. d. indicates the proportion of variation in Y that is explained by the variation in X. e. none of the above. In regression analysis, the F...
A) B) C) Based on the data shown below, calculate the correlation coefficient to three decimal places) 19.59 16.71 114.53 7 13.14 11.85 11.17 13 849 7.3 Here is a bivariate data set. 38.7 91.5 25. 6 993 572 36. 4 854 293 218 83.7 Find the correlation coefficient and report it accurate to three decimal places. What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage...
20. All of the following statements are true about correlation EXCEPT:* (A) Correlation is always between 1 and 1, inclusive. (B) Correlation does not change if we change the scales of the explanatory variable (e.g. inches to feet). (C) Correlation measures how strong the linear tendency is between the explanatory and the response variables. (D) A correlation close to 1 or -1 indicates that the explanatory variable causes the response variable to behave a certain way. 35. The table below...
If the coefficient of correlation is 0.8, the percentage of variation in the dependent variable explained by the estimated regression equation is a. 0.80% b. 80% c. 0.64% d. 64%
6). a.b.b. The data in the table to the right are based on the results of a survey comparing the commute time of adults to their score on a well-being test. Complete parts (a) through (d) below. Click the icon to view the critical values for the correlation coefficient. Commute Time (in minutes) Well-Being Score 5 69.5 16 68.9 27 67.5 34 67.4 47 66.9 68 65.9 97 63.9 (a) Which variable is likely the explanatory variable and which is...