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[画像:Suppose we are interested in purchasing a multi-functioning inkjet printer. We want to see how the performance factors related to the price of the printer. Collected data from 20 printers include below information. PPM: Printing rate (pages per minutes) for a set of print jobs Price: Typical retail price (in dollars) at the time of the review. Data is not provided to you, but the default MINITAB output is provided to you. As you can see it is a partial output where you have to do some calculations using the provided information. Use the provided output to answer below questions. Regression Analysis: Price versus PPM Analysis of Variance DF Adj SS Adj MS F-Value P-Value Source Regression 1 PPM 1 74540 74540 74540 74540 21.75 0.000 21.75 0.000 Error 18 Lack-of-Fit 11 44191 Pure Error 7 17506 61697 3428 4017 2501 161 0.271 Total 19 136237 Model Summary S 58.5457 R-sq R-sq(adj) R-sq(pred) 54.71% 52.20% 42.25% Coefficients Term Coef SE Coef T-Value Constant PPM -94.2 90.9 56.4 -1.67 P-Value VIF 0.112 19.5 100 1. Write down the least squares regression line for predicting the price of a printer using printing rate. 2. Interpret the slope parameter in the context of this problem?]
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Transcribed Image Text:Suppose we are interested in purchasing a multi-functioning inkjet printer. We want to see how the performance factors related to the price of the printer. Collected data from 20 printers include below information. PPM: Printing rate (pages per minutes) for a set of print jobs Price: Typical retail price (in dollars) at the time of the review. Data is not provided to you, but the default MINITAB output is provided to you. As you can see it is a partial output where you have to do some calculations using the provided information. Use the provided output to answer below questions. Regression Analysis: Price versus PPM Analysis of Variance DF Adj SS Adj MS F-Value P-Value Source Regression 1 PPM 1 74540 74540 74540 74540 21.75 0.000 21.75 0.000 Error 18 Lack-of-Fit 11 44191 Pure Error 7 17506 61697 3428 4017 2501 161 0.271 Total 19 136237 Model Summary S 58.5457 R-sq R-sq(adj) R-sq(pred) 54.71% 52.20% 42.25% Coefficients Term Coef SE Coef T-Value Constant PPM -94.2 90.9 56.4 -1.67 P-Value VIF 0.112 19.5 100 1. Write down the least squares regression line for predicting the price of a printer using printing rate. 2. Interpret the slope parameter in the context of this problem?
Transcribed Image Text:3. We want to test if printers with higher printing rate are more expensive. Write the appropriate null and alternative hypothesis you would formulate to test this, calculate the test statistic and the p value. Based on the p value you obtained, what can you say about the relationship? • What are the appropriate null and alternative hypothesis you would formulate to test this? [Select] • What is the test statistic? [Select] ° ° • What is the p value? [Select] • What are the test decision and conclusion? [Select] 4. What is the correlation between PPM and the price? [Select] >
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