The accompanying data table shows the engine size x in cubic liters and rated mi

Question

The accompanying data table shows the engine size x in cubic liters and rated miles per gallon (MPO1 y. for a selection of sedans. The regression line for the data is y = 37.5972 a. Using a0.05, tast for the significance of the regression slope b. Construct a 95% confidence interval for the papulatian slape c. What conclusions a 4.5833x and SSE=21.9306. about engine size and MPG can be drawn from these results Click the icon to view the data table a. Detemine the null and alternative hypotheses. Choose the coect answer below. B. Ho: 20 Calculate the test statistic for tha hypothasis test (Round to two decimal places as nceded) Table of Engine Size and MPG Engine Sizs MPG Model A Model B Model C Model D Model E Model F Model G Model H Model I 27 31 25 21 23 27 25 20 20 2.2 3.4 2.3 3.8 Print Done

Explanation / Answer

Using the given data, I ran the regression in excel using Data Analysis toolpak. Below are the results:

a. Set up the Hypothesis -

Ho: B= 0

H1 B is not equal to 0

(This has already been marked)

b. The 95% interval for population slope = (-6.7892,-2.3774)

c. Since the p-value is close to 0, we can reject the null hypothesis. Hence, there is a statistically significant relationship between MPG and Engine size.

The t-test statistic = (estimate of B - Hypothesized value of B)/Std error of estimate of B

= (-4.583333333 - 0)/0.932877345

= (-4.583333333)/0.932877345

= -4.9131

Dependent variable: MPG Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 37.59722222 2.586948102 14.53342732 1.74234E-06 31.480062 43.71438244 Engine Size -4.583333333 0.932877345 -4.913114631 0.001727122 -6.789237727 -2.377428939

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.