Question
The following table contains data on the cost per page (in cents) for printing in color and the retail price for a random sample of
The following table contains data on the cost per page (in cents) for printing in color and the retail price for a random sample of printers.
Cost of Color | Price |
---|---|
15.7 | 11.73 |
7.6 | 337.5 |
7.6 | 239.08 |
14.3 | 38.33 |
8.7 | 332.31 |
15 | 106.17 |
14.2 | 180.65 |
9.5 | 271.25 |
7.6 | 273.93 |
17.4 | 88.33 |
17.7 | 145.08 |
18.3 | 77.28 |
12.4 | 201.74 |
6.8 | 231.51 |
Part A Determine the correlation coefficient of the cost per page (in cents) for printing in color and the retail price. Round it to 5 decimal places if possible.
Part B The correlation coefficient suggests that there is (strong/moderately strong/moderately weak/weak)? (positive/negative)? (linear/non-linear)? between the cost per page (in cents) for printing in color and the retail price of the printers in the sample.
Part C Suppose we want to test whether there is a linear relationship between the cost per page (in cents) for printing in color and the retail price of all printers. Since the correlation coefficient (in absolute value) is (larger/less)? than the decision point (?) , the sample data (have sufficient evidence/do not have sufficient evidence)? to conclude that there is a linear relationship between the cost per page (in cents) for printing in color and the retail price of all printers.
Part D Determine the regression equation that predicts the retail price of a printer from the cost per page (in cents) for printing in color. (Price Predicted/Price/Cost of Color/Predicted Cost of Color)? = _ + ( _ )(Price/Predicted Price/Cost of Color/Predicted Cost of Color)? Round the intercept and slope to 8 decimal places if possible.
Part E Provide a 90% prediction interval for the retail price of a printer if this printer requires ____________. Round the interval estimates to 8 decimal places if possible. (a) 10.5 cents to print a color document = and (b) 11.5 cents to print a color document = and (c) 12.5 cents to print a color document = and
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