6. The number of tons of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in °F) for that month. The past years usage and temperature are shown in the following table:

Using Minitab, a regression procedure with usage (y-variable) on temperature (x-variable) was executed with the following results:

(a) Calculate a 99% confidence interval for β1 

(b) Find a 95% confidence interval for β0

(c) Provide a point estimate of the correlation between Temp and Usage.

Provide a point estimate of the mean and standard deviation of the error variable ε in the linear model

 y=β_0+β_1 x+ε