Question 1
A regression and correlation analysis resulted in the following information regarding an independent variable (x) and a dependent variable (y).
ΣX = 42
ΣY = 63
n = 7
Σ (Y - )(X - ) = 37
Σ (X - )2 = 84
Σ (Y - a. = 6.3571 + 0.4405xb.p-value < .05; reject Hoc.p-value < .05; reject Hod.0.582Question 2An 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 - 6.254XYXMonthly SalesInterest Rate (In Percent)22 9.220 7.61010.445 5.3a.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.
Question 2
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
Y
X
Monthly Sales
Interest Rate (In Percent)
22
9.2
20
7.6
10
10.4
45
5.3
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