Using the data presented in the Table below:
a) Construct a correlation matrix between x1, x2, ×3, and y? Is
there any evidence that multicollinearity exists?
b) Determine the multiple regression line with x1, x2 and x3 as
explanatory variables.
c) Comment on F-test statistic and t-test statistics.
x1 x2 x3 Y
0.8 2.8 2.5 11.0
3.9 2.6 5.7 10.8
1.8 2.4 7.8 10.6
5.1 2.3 7.1 10.3
4.9 2.5 5.9 10.3
8.4 2.1 8.6 10.3
12.9 2.3 9.2 10.0
6.0 2.0 1.2 9.4
14.6 2.2 3.7 8.7
9.3 1.1 5.5 8.7