Question: 1. Using the preceding matrix data (Forbes 500), select a pair of variables and run a simple regression. Then investigate the appropriateness of the model for the data using diagnostic tools for evaluating assumptions.
2. For the following data,
X Y
25 5
19 7
17 12
14 23
12 20
9 25
8 26
7 28
3 20
a Calculate the correlation between X and Y.
b Interpret the sign of the correlation.
c Interpret the square of the correlation.
d Plot the least-squares line.
e Test for a linear relationship:
(1) β1 = 0
(2) r = 0
(3)An F test