Data from a sample of 10 DC weather are used to explain the relation between prescription high temperature

Data from a sample of 10 DC weather are used to explain the relation between prescription high temperature volume and the low temperature. The sample data are:

ID Date High.Temp Low.Temp

1 11/10/2014 66 42

2 11/11/2014 71 44

3 11/12/2014 68 45

4 11/13/2014 48 40

5 11/14/2014 45 35

6 11/15/2014 47 32

1. Find the least squares estimate for the regression line y = ￿₀ + ₁x+ .

1. What is s?

1. Test (using  = 0.05) to see whether of not ₁ = 0, and give a 95% confidence interval for ₁.

1. Find r and r².

1. Give a 95% confidence interval for the mean low temperature volume when the high temperature is 50.

1. Give a 95% prediction interval for the mean low temperature volume next month if the high temperature is 50.