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In a study measuring the relationship between height in centimeters and annual income in dollars, it has been determined that for Group 1, r 2 =0.15 and for Group 2, r 2 =0.10 where r denotes the correlation between the two variables. Least-squares regression lines are fitted to the observations from each group.
Which of the following statement is true:
a. There could be a positive relationship between the two variables for Group 1 and a negative relationship between the two variables for
Group 2.
b. The sum of the residuals for Group 1 is greater than the sum of the residuals for Group 2.
c. Measuring the height in inches would increase the value of r 2 for both groups.
d. None of the answer options is true.
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