The accompanying data table shows the engine â€‹size, x, in cubic

liters and rated miles per gallonâ€‹ (MPG), y, for a selection of

sedans.

**a.** Using

alphaÎ±equals=â€‹0.05,

test for the significance of the regression slope.

**b.** Construct aâ€‹ 95% confidence interval for the

population slope.

**c.** What conclusions about engine size and MPG

can be drawn from theseâ€‹ results?

Show transcribed image text y fr a selection of sedans The egresson ine for the data is y 36 7472-4 5302x and S :)0 142 The accompanying data table shows the engine s to x m cubc iters and rated mles per galon (MFG a. Usingot =0 05 test for the signficance of the regression slope b. Construct a 95% confidence "terval for the population slape c. What conclusions about engine size and MPG can be drawn from these resuts? åŒª Click the icon to view the data tatie Table of Engine Size and MPG a. Determine the nul and alternative hypotheses Choose the carrect answer belaw Hi p0 Ca Model A Model B Model C Model D Model E Madel F Model G Model H Model I Engine Sz G 2 Calculate the test statistic for the hypothesis test 1-U Round to two decimal places as needed) Find the p-value p-value-Q Round to three dermal places as needed) is the regression slope signficant â—‹ A. Yes, because the p-value is greater than or equal to the level of gnfcance 26 21 23 3 2 3 5 25 30 25 20 24 27 23 28 20 25 21 36 Print Done B. Na because the pvalue is less than the level of signficance C. No, because the p-value is greater than ar equal to the level of signicance â—‹ D. Yes, because the pvalue is less than the level of Bignficance b. Construct a 95% confidence nterval for the population slope UCL (Round to two decenal places as needed) LCL = â–¡ (Round to two decimal places as needed , â–¼! in gas mleage tf between–and â–¡ mies per galon Thus the" nce tat the population regtsson slope | â–¼| egual to zero There c.One can be 95% confdent that increasing the sizn ofanengine by 1 abc itervall sult in signncant relationship between the size of an enging and its rated miles per gallon Use ascending order. Round to two decimal piaces as needed.)

y fr a selection of sedans The egresson ine for the data is y 36 7472-4 5302x and S :)0 142 The accompanying data table shows the engine s to x m cubc iters and rated mles per galon (MFG a. Usingot =0 05 test for the signficance of the regression slope b. Construct a 95% confidence "terval for the population slape c. What conclusions about engine size and MPG can be drawn from these resuts? åŒª Click the icon to view the data tatie Table of Engine Size and MPG a. Determine the nul and alternative hypotheses Choose the carrect answer belaw Hi p0 Ca Model A Model B Model C Model D Model E Madel F Model G Model H Model I Engine Sz G 2 Calculate the test statistic for the hypothesis test 1-U Round to two decimal places as needed) Find the p-value p-value-Q Round to three dermal places as needed) is the regression slope signficant â—‹ A. Yes, because the p-value is greater than or equal to the level of gnfcance 26 21 23 3 2 3 5 25 30 25 20 24 27 23 28 20 25 21 36 Print Done B. Na because the pvalue is less than the level of signficance C. No, because the p-value is greater than ar equal to the level of signicance â—‹ D. Yes, because the pvalue is less than the level of Bignficance b. Construct a 95% confidence nterval for the population slope UCL (Round to two decenal places as needed) LCL = â–¡ (Round to two decimal places as needed , â–¼! in gas mleage tf between–and â–¡ mies per galon Thus the" nce tat the population regtsson slope | â–¼| egual to zero There c.One can be 95% confdent that increasing the sizn ofanengine by 1 abc itervall sult in signncant relationship between the size of an enging and its rated miles per gallon Use ascending order. Round to two decimal piaces as needed.)