The maximum discount value of the Entertainment® card for the Fine Dining section, 10th edition, for various pages is given in the table.
| Page Number | Maximum Value ($) |
| 4 | 16 |
| 14 | 19 |
| 25 | 15 |
| 32 | 17 |
| 43 | 19 |
| 57 | 15 |
| 72 | 16 |
| 85 | 15 |
| 90 | 17 |
- Decide which variable should be the independent variable and which should be the dependent variable.
- Draw a scatter plot of the ordered pairs.
- Calculate the least-squares line. Put the equation in the form ŷ = a + bx.
- Find the correlation coefficient. Is it significant?
- Find the estimated maximum values for the restaurants on page 10 and on page 70.
- Does it appear that the restaurants giving the maximum value are placed in the beginning of the Fine Dining section? How did you arrive at your answer?
- Suppose there are 200 pages of restaurants. What do you estimate to be the maximum value for a restaurant listed on page 200?
- Is the least-squares line valid for page 200? Why or why not?
- What is the slope of the least-squares (best-fit) line? Interpret the slope.
OpenStax Statistics, 12.4 Prediction (Optional), exercise 25