Homework Sourse8 For a sample of eight bears researchers measured the dista
8. 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 r =0.944 Using =0.05, determine if there is a linear correlation between chest size and weight. What proportion of the variation in weight can be explained by the linear relationship between weight and chest size?
a. Is there a linear correlation between chest size and weight?
A.
Yes, because the absolute value of the test statistic exceeds the critical value
of 0.707.
B.
No, because the absolute value of the test statistic exceeds the critical value
of 0.707.
C.
Yes, because the test statistic falls between the critical values of
0.707
D.The answer cannot be determined from the given information.
B. What proportion of the variation in weight can be explained by the linear relationship between weight and chest size?
Solution
Hence 89.11% of variation can be explained by the linear relationship between weight and chest size
| Q.No | Answer | Reason | |||
| 1 | C | Linear correlation exists if it is non zero and lies between -1 and +1 | |||
| 2 | R^2 | The coefficient of determ. | 0.891136 |
