An automobile dealer wants to see if there is a relationship between monthly sales and the interest rate. A random sample of 4 months was taken. The results of the sample are presented below. The estimated least squares regression equation is 
= 75.061 - 6.254X
a.Obtain a measure of how well the estimated regression line fits the data.
b.You want to test to see if there is a significant relationship between the interest rate and monthly sales at the 1% level of significance. State the null and alternative hypotheses.
c.At 99% confidence, test the hypotheses.
d.Construct a 99% confidence interval for the average monthly sales for all months with a 10% interest rate.
e.
Construct a 99% confidence interval for the monthly sales of one month with a 10% interest rate.
Definitions:
Cardiomyopathy
A disease of the heart muscle that makes it harder for the heart to pump blood to the rest of the body, potentially leading to heart failure.
Heart Muscle
The muscle tissue of the heart, known as cardiac muscle, which is responsible for pumping blood throughout the body.
Anastomosis
A surgical connection made between two tubular structures, such as blood vessels or segments of the intestine.
Blood Vessel
Tubular structures carrying blood through the tissues and organs; a vein, artery, or capillary.
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