I've attached a homework question. I could use some help understanding how to work through it.

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.

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?

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?

4.What is the correlation between PPM and the price?

5.Suppose we find an inkjet printer with a printing speed of three papers per minute for a sale price of $129. Is this a deal that should not be missed? Use the below provided 95% confidence and prediction intervals to answer this question. Explain the reason for your choice of interval to answer above question.

Regression Analysis: Price versus PPM Analysis of Variance Source DF Adj SS Adj MS F-Value P-Value Regression 1 74540 74540 21.75 0.000 PPM 74540 74540 21 75 0.000 Error 18 61697 3428 Lack-of-Fit 11 44191 4017 161 0.271 Pure Error 7 17506 2501 Total 19 136237 Model Summary S R-sq R-sglad) R-sqlpred) 58.5457 54.71% 52 20% 42.25% Coefficients Term Coef SE Coef T-Value P-Value VIF Constant -94.2 56.4 -1.67 0.112 PPM 90.9 19.5 100 - Prediction Fit SE Fit 95% CI 95% PI 178.412 13.5786 (149 885, 206.940) (52 1476, 304.677)