Name Student Stat 4800 Quir #3 (March 15, 2022) T [10 marks] Does the gas mileage (in miles per gallon) depend on the luggage capacity (in cubic feet) for all the new sedans in North America? A sample of 30 latest models were collected from all brands available in Nonh America around the end of Year 2001 and the data were analyzed with Excel A printout is shown below. SUMMARY OUTPUT Regression Sanier Multiple R 0981735 Square 0.963804 Add Squa 0.951347 Standard Error 0.64693 Observations 30 ANOVA SS MS F Regression 1 312.035 312.035 745.57 0.000000 Residual 28 11.7185 0.418518 29 323-754 Total Coefficients Intercept Time (hrs) 40.9488 -1.11595 Standard Error 0.632694 0.0408696 Lowe Stat P-value Lower 95% Upper 93% Upper 95.0% 95.096 64.7213 1.91958-11 27.3052 9.3576E-06 From the provided Excel summary output (a) Write out the estimated linear regression equation in the context of this problem.[1] (b) Interpret the slope with the value provided, in the context of this problem. (Be sure including the units of measurement)[2] P. 1 of 2 Name: Student (c) What is the value of the standard deviation of the gas mileage of the new sedans with luggage capacity 18.5 cubic feet? Interpret this standard deviation in the context of this problem.[2] (d) What is the value of the sample correlation coefficient?[1] (c) Use the result from part (d) and an appropriate decision point from your supplementary notes, can you conclude that there is a linear relationship between the gas mileage and the luggage capacity for all the sedans in North America? Briefly interpret your result. (Perform a complete hypothesis testing. Be sure to include the hypotheses.)[4]