I only need the answer to the #2. I have the answer to #1. For a sample of eight
ID: 3160282 • Letter: I
Question
I only need the answer to the #2. I have the answer to #1.
For a sample of eight bears, researchers measured the distances around the bears' chests and weighed the bears. Minitab was used to find that the value of the linear correlation coefficient is r=0.906. Using =0.05, determine if there is a linear correlation between chest size and weight.
1. What proportion of the variation in weight can be explained by the linear relationship between weight and chest size?
A. Yes, because the test statistic falls between the critical values of 0.707 and 0.707.
B. No, because the absolute value of the test statistic exceeds the critical value of 0.707.
C. Yes, because the absolute value of the test statistic exceeds the critical value of 0.707.
D. The answer cannot be determined from the given information.
2. What proportion of the variation in weight can be explained by the linear relationship between weight and chest size?_____ (Round to three decimal places as needed.)
Explanation / Answer
Compute the coefficient of determination
r^2 = (0.906)^2 = 0.820
About 82% (or proportion of 0.820) of the variation in weight can be explained by the linear relationship between weight and chest size.