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Problem 3 (33 points] How are performance factors related to the price ot'inject printers? To investigate this question we checked reviews at PCMag.co1n For a sample of It] all-in-one printers. Among other variables, the data include: PPM printing rate (pages per minute) For a set of print jobs CostBW average cost per page {in cents) for printing in black :5: white Price - typical retail price (in dollars) at the time of the review 1. The computer output below displays information about predicting Price based on PPM. What is the equation of the tted tine? Statistic PPM Price Mean 2.815 151.600 Standard Deviation 0.559 84 .6?5 Sam pie Size 2 0 Correlation 0.?4 Predicted Values for New Observations: PPM Fit 95% Cent Int 95% Pred int 3 173.4 (1 so. can (52, 305) 2. Is there evidence that the printing speed {PPM} is an effective linear predictor of the price of such printers? W-l H = l} versus Hun? at I] Test statistic = P-value: This gives - evidence that the printing speed (PPM) is an effective linear predictor of the price for inkjet printers. 3. How much should we expect to pay for an inkjet printer that prints 3 pages per minute? Range: S to $ 4. Suppose we nd an inkjet printer with a printing speed of 3 pages per minute for sale at a price of $129. Is this an unusually good deal? Yes No Explanation: 5. A second variable - logCostBW {logarithmically transformed CostBW} has been added to the model. Excel output is shown below. What is the equation of the regression model? Price - Page 3 of 7 Model 2 (Price vs PPM and logCostBW): Mult. Reg. for Price Multiple R R-Square Adj. R-square SE of Estimate 0.8280 0.6857 0.6487 50.19 ANOVA Table df SS MS F p-Value Explained 2 93,412.22 46,706.11 18.54