6.6 Suppose you are interested in predicting the price of a laptop computer based on its...

 

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6.6 Suppose you are interested in predicting the price of a laptop computer based on its various features. Price: the price of the laptop in dollars Speed: speed of the laptop in megahertz Charge: time (in minutes) the battery takes to charge The partial Excel results are shown here: SSUnexplained = 1698387.21 MSExplained = 554446.062 ANOVA df MS Significance F Regression Residual 0.00479 Total 21 Coefficients Standard Error t Stat p-value 1500.6007 1085.6889 Intercept Speed Charge 10.1506 14.5019 1.6284 4.4568 a. Complete the ANOVA table. b. Find R. Explain what the number tells you about this regression model. c. Test whether risk is related to any of the X's (the overall significance of the model). Use a significance level of 0.05. d. Test whether price is related to speed. Use a significance level of 0.05. What does this result imply? e. Explain in the context of this problem what the numbers for the following coef- ficients mean: speed and charge. f. Find a 95 confidence interval for speed. What parameter does this confidence interval bracket? g. What is the standard error of the regression? h. Write out the regression equation. i. Estimate the price of a laptop with a speed of 33 megahertz and the charge lasts 305 minutes. F. 6.6 Suppose you are interested in predicting the price of a laptop computer based on its various features. Price: the price of the laptop in dollars Speed: speed of the laptop in megahertz Charge: time (in minutes) the battery takes to charge The partial Excel results are shown here: SSUnexplained = 1698387.21 MSExplained = 554446.062 ANOVA df MS Significance F Regression Residual 0.00479 Total 21 Coefficients Standard Error t Stat p-value 1500.6007 1085.6889 Intercept Speed Charge 10.1506 14.5019 1.6284 4.4568 a. Complete the ANOVA table. b. Find R. Explain what the number tells you about this regression model. c. Test whether risk is related to any of the X's (the overall significance of the model). Use a significance level of 0.05. d. Test whether price is related to speed. Use a significance level of 0.05. What does this result imply? e. Explain in the context of this problem what the numbers for the following coef- ficients mean: speed and charge. f. Find a 95 confidence interval for speed. What parameter does this confidence interval bracket? g. What is the standard error of the regression? h. Write out the regression equation. i. Estimate the price of a laptop with a speed of 33 megahertz and the charge lasts 305 minutes. F.

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