The sweetness, y, of the fruit is supposed to be related to the average daily sunshine hours, x. The following data shows the sweetness of the same type of fruit at different locations (sunshine hours). Fit the data to a simple linear regression model.

x: 5, 6, 7, 6, 6, 8, 7, 5.

y: 9, 10, 10, 11, 12, 13, 12, 8.

1. Calculate the correlation coefficient between , . And interpret it.

2. Find the estimated least squares regression line. Interpret 0,1.

3. Predict the mean sweetness for average daily sunshine hours of 8 hours using the regression line obtained in part 2.

4. Calculate the residual for average daily sunshine hours of 8 hours.