B.) using a=0.05 test the significance of the population coefficient of determin
ID: 3369484 • Letter: B
Question
B.) using a=0.05 test the significance of the population coefficient of determination Determine the null and alternative hypothesis
The F test statistic is ? (Round to two decimal places as needed)
The p-value is? (Round to three decimal places as needed)
C.) construct a 95% confidence interval for the average MPG of a 2.9 cubic liter engine UCL=? LCL=? (Round to two decimal places as needed)
D.) construct a 95% prediction interval for the MPG of a 2.9 cubic liter engine UPL=? LPL=? (Round to two decimal places as needed) Homework: Fill in the blank_ch14_5pm_7/6_no time limits (3 a Score: 0.46 of 2 pts Sav 5 of 7 (5 complete) Y HW Score: 31.87%, 4.46 of 14 p 14.7.48-T Suppose an environmental agency would lke to investigate the relationship between the engine size of sedans, x, and the miles per gallon (MPG) y they get The accompanying table shows the engine size in cubic liters and rated miles per gallon for a selection of sedans. The regression line for the data is y 36 1236-4.1297x Use this information to complete parts a through d Click the icon to view the table showing engine size and MPG for 9 car models a. Calculate the coefficient of determination. R(Round to three decimal places as needed) Enter your answer in the answer box and hen click Check Ansder
Explanation / Answer
By using MINITAB
Regression Analysis: MPG versus Engine size
Regression Equation
MPG = 36.12 - 4.130 Engine size
a] Model Summary
S R-sq R-sq(adj) R-sq(pred)
1.67534 77.90% 74.74% 66.51%
Null Hypothesis: H0: ? = 0
Alternate Hypothesis: Ha: ? ? 0
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-Value
Regression 1 69.242 69.242 24.67 0.002
Error 7 19.647 2.807
Total 8 88.889
F statistic = 24.67
pvalue = 0.002 < alpha = 0.05
Reject H0.
c,d ] Variable Setting
Engine size 2.9
95% confidence interval for the average MPG of a 2.9 cubic liter engine
95% prediction interval for the MPG of a 2.9 cubic liter engine
Fit SE Fit 95% CI 95% PI
24.1475 0.591185 (22.7496, 25.5454) (19.9466, 28.3485)
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