Problem:
The following data were collected during a study of consumer buying patterns:
| Observation |
X |
Y |
| 1 |
18 |
69 |
| 2 |
26 |
81 |
| 3 |
41 |
85 |
| 4 |
35 |
77 |
| 5 |
56 |
95 |
| 6 |
46 |
93 |
| 7 |
33 |
86 |
| 8 |
19 |
81 |
| 9 |
14 |
75 |
| 10 |
10 |
76 |
| 11 |
25 |
83 |
| 12 |
21 |
86 |
| 13 |
29 |
90
|
Required:
Question 1) Obtain a linear regression line for the data.
Question 2) What percentage of the variation is explained by the regression line?
Question 3) Use the equation determined in part b to predict the expected value of y for x = 44.
Solve the given numerical problem and illustrate step by step calculation.