In: Statistics and Probability
For the X,Y data below, compute:
| X | Y | 
|---|---|
| 
 2  | 
5 | 
| 4 | 6 | 
| 4 | 7 | 
| 5 | 11 | 
| 6 | 12 | 
(a) the correlation coefficient and determine if it is significantly different from zero.
(b) find the regression line.
c) interpret the coefficient of the regression line
d) at 5% test if the Y is related to X
e) find the coefficient of determination and interpret this coefficient.
f) predict the value of average Y if the average of X is13
g) at 1% find the confidence interval and the prediction interval of the true value of average and the value of Y.