In: Statistics and Probability
Determine the regression equation (write the regression equation) of the following data, where Y is the dependant variable and X is the predictor:
X |
Y |
5 |
85 |
4 |
103 |
6 |
70 |
5 |
82 |
5 |
89 |
5 |
98 |
6 |
66 |
6 |
95 |
2 |
169 |
7 |
70 |
7 |
48 |
b) Interpret the regression coefficients.
c) Graph the regression line.
d) Use the regression equation to predict Y for X=3.
e) Compute the coefficient of determination.
f) Interpret the coefficient of determination.
g) Compute the correlation coefficient.
h) Interpret the correlation coefficient.
i) What is the relationship between the correlation coefficient and coefficient of determination ( show the work).
j) Is there any relationship between the slope and the correlation coefficient?