Chapter 12: Linear Regression and Correlation
Q.12.6
SCUBA divers have maximum dive times they cannot exceed when going to different depths. The data in Table 12.4 show different depths with the maximum dive times in minutes. Use your calculator to find the least-squares regression line and predict the maximum dive time for feet.
| X (depth in feet) | Y (maximum dive time) |
| 50 | 80 |
| 60 | 55 |
| 70 | 45 |
| 80 | 35 |
| 90 | 25 |
| 100 | 22 |
Q.12.9
Use the columns "year" and "# flu cases diagnosed. Why is 鈥測ear鈥 the independent variable and 鈥# flu cases diagnosed.鈥 the dependent variable (instead of the reverse)?


Q. 17
Does the scatter plot appear linear? Strong or weak? Positive or negative?

Q.18
Does the scatter plot appear linear? Strong or weak? Positive or negative?

Q.2
A vacation resort rents SCUBA equipment to certified divers. The resort charges an up-front fee of and another fee of an hour.
Find the equation that expresses the total fee in terms of the number of hours the equipment is rented.
Q.21
Use the following information to answer the next five exercises. A random sample of ten professional athletes produced the following data where is the number of endorsements the player has and is the amount of money made (in millions of dollars)

Use regression to find the equation for the line of best fit.
Q.22
Use the following information to answer the next five exercises. A random sample of ten professional athletes produced the following data where is the number of endorsements the player has and is the amount of money made (in millions of dollars).
draw the line of best fit on the scatter plot
Q.24
Use the following information to answer the next five exercises. A random sample of ten professional athletes produced the following data where is the number of endorsements the player has and is the amount of money made (in millions of dollars).
| x | y | x | y |
| 0 | 2 | 5 | 12 |
| 3 | 8 | 4 | 9 |
| 2 | 7 | 3 | 9 |
| 1 | 3 | 0 | 3 |
| 5 | 13 | 4 | 10 |
What is the y-intercept of the line of best fit? What does it represent?
Q.26
Use the following information to answer the next five exercises. A random sample of ten professional athletes produced the following data where is the number of endorsements the player has and is the amount of money made (in millions of dollars)
| x | y | x | y |
| 0 | 2 | 5 | 12 |
| 3 | 8 | 4 | 9 |
| 2 | 7 | 3 | 9 |
| 1 | 3 | 0 | 3 |
| 5 | 13 | 4 | 10 |
.When and,are the data significant? Explain
Q.28
When testing the significance of the correlation coefficient, what is the null hypothesis?