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Chapter 12: Linear Regression and Correlation

Q.12.6

Page 686

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 110feet.

X (depth in feet)
Y (maximum dive time)
5080
6055
7045
8035
9025
10022

Q.12.9

Page 714

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

Page 715

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

Q.18

Page 715

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

Q.2

Page 713

A vacation resort rents SCUBA equipment to certified divers. The resort charges an up-front fee of \(25and another fee of \)12.50 an hour.

Find the equation that expresses the total fee in terms of the number of hours the equipment is rented.

Q.21

Page 716

Use the following information to answer the next five exercises. A random sample of ten professional athletes produced the following data where xis 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

Page 716

Use the following information to answer the next five exercises. A random sample of ten professional athletes produced the following data where xis the number of endorsements the player has and yis 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

draw the line of best fit on the scatter plot

Q.24

Page 716

Use the following information to answer the next five exercises. A random sample of ten professional athletes produced the following data where xis the number of endorsements the player has and yis the amount of money made (in millions of dollars).

xyxy
02512
3849
2739
1303
513410

What is the y-intercept of the line of best fit? What does it represent?

Q.26

Page 716

Use the following information to answer the next five exercises. A random sample of ten professional athletes produced the following data where xis the number of endorsements the player has and yis the amount of money made (in millions of dollars)

xyxy
02512
3849
2739
1303
513410

.When n=2andr=1,are the data significant? Explain

Q.28

Page 717

When testing the significance of the correlation coefficient, what is the null hypothesis?

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