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Transcript les4e_alq_09ac
Active Learning Lecture Slides
For use with Classroom Response Systems
Chapter 9: Correlation and Regression
Elementary Statistics:
Picturing the World
Fourth Edition
by Larson and Farber
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 4- 1
Determine the type of correlation between
the variables.
A. Positive linear correlation
B. Negative linear correlation
C. No linear correlation
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 9- 2
Determine the type of correlation between
the variables.
A. Positive linear correlation
B. Negative linear correlation
C. No linear correlation
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 9- 3
Calculate the correlation coefficient r, for
temperature (x) and number of cups of
coffee sold per hour (y).
x 65 60 55 50 45 40 35 30 25
y 8 10 11 13 12 16 19 22 23
A. 0.946
B. –0.973
C. –2.469
D. 81.760
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 9- 4
Calculate the correlation coefficient r, for
temperature (x) and number of cups of
coffee sold per hour (y).
x 65 60 55 50 45 40 35 30 25
y 8 10 11 13 12 16 19 22 23
A. 0.946
B. –0.973
C. –2.469
D. 81.760
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 9- 5
Find the t test statistic to determine if the
correlation coefficient for temperature (x)
and number of cups of coffee sold per hour
(y) is significant.
x 65 60 55 50 45 40 35 30 25
y 8 10 11 13 12 16 19 22 23
A. 10.8
B. –0.973
C. –11.1
D. –1.8
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 9- 6
Find the t test statistic to determine if the
correlation coefficient for temperature (x)
and number of cups of coffee sold per hour
(y) is significant.
x 65 60 55 50 45 40 35 30 25
y 8 10 11 13 12 16 19 22 23
A. 10.8
B. –0.973
C. –11.1
D. –1.8
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 9- 7
Find the equation of the regression line for
temperature (x) and number of cups of
coffee sold per hour (y).
x 65 60 55 50 45 40 35 30 25
y 8 10 11 13 12 16 19 22 23
A. yˆ 0.383 x 32.139
B. yˆ 2.469 x 81.760
C. yˆ 76.516 x 16.381
D. yˆ .4 x 33
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 9- 8
Find the equation of the regression line for
temperature (x) and number of cups of
coffee sold per hour (y).
x 65 60 55 50 45 40 35 30 25
y 8 10 11 13 12 16 19 22 23
A. yˆ 0.383 x 32.139
B. yˆ 2.469 x 81.760
C. yˆ 76.516 x 16.381
D. yˆ .4 x 33
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 9- 9
The equation of the regression line for
temperature (x) and number of cups of
coffee sold per hour (y) is
yˆ 0.383 x 32.139
Predict the number of cups of coffee sold
per hour when the temperature is 48º.
A. 41.4
B. 30.7
C. 13.8
D. 50.5
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 9- 10
The equation of the regression line for
temperature (x) and number of cups of
coffee sold per hour (y) is
yˆ 0.383 x 32.139
Predict the number of cups of coffee sold
per hour when the temperature is 48º.
A. 41.4
B. 30.7
C. 13.8
D. 50.5
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 9- 11
Calculate the coefficient of determination
r2, for temperature (x) and number of cups
of coffee sold per hour (y).
x 65 60 55 50 45 40 35 30 25
y 8 10 11 13 12 16 19 22 23
A. 0.946
B. –0.973
C. –2.469
D. 81.760
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 9- 12
Calculate the coefficient of determination
r2, for temperature (x) and number of cups
of coffee sold per hour (y).
x 65 60 55 50 45 40 35 30 25
y 8 10 11 13 12 16 19 22 23
A. 0.946
B. –0.973
C. –2.469
D. 81.760
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 9- 13
Find the standard error of the estimate se,
for temperature (x) and number of cups of
coffee sold per hour (y). yˆ 0.383 x 32.139
x 65 60 55 50 45 40 35 30 25
y 8 10 11 13 12 16 19 22 23
A. 0.139
B. 12.47
C. 1.78
D. 1.33
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 9- 14
Find the standard error of the estimate se,
for temperature (x) and number of cups of
coffee sold per hour (y). yˆ 0.383 x 32.139
x 65 60 55 50 45 40 35 30 25
y 8 10 11 13 12 16 19 22 23
A. 0.139
B. 12.47
C. 1.78
D. 1.33
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 9- 15
Construct a 95% prediction interval for the
number of cups of coffee sold per hour (y)
when the temperature (x) is 48º.
x 65 60
55 50 45 40 35 30 25
ˆ
y 0.383 x 32.139
y 8 10 11 13 12 16 19 22 23
se ≈ 1.33, yˆ 0.383 x 32.139
A. 11.255 < y < 16.255
B. 10.241 < y < 17.269
C. 10.431 < y < 17.079
D. 12.707 < y < 14.803
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 9- 16
Construct a 95% prediction interval for the
number of cups of coffee sold per hour (y)
when the temperature (x) is 48º.
x 65 60
55 50 45 40 35 30 25
ˆ
y 0.383 x 32.139
y 8 10 11 13 12 16 19 22 23
se ≈ 1.33, yˆ 0.383 x 32.139
A. 11.255 < y < 16.255
B. 10.241 < y < 17.269
C. 10.431 < y < 17.079
D. 12.707 < y < 14.803
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 9- 17
To predict the price of a used Toyota Camry,
use the equation
yˆ 76.2x1 42.24 x2 20350
where x1 is the age of the car (in years) and
x2 is the mileage (in thousands). Predict the
y-value for x1 = 6 and x2 = 54.
A. $17,612
B. $15,982
C. $18,526
D. $22,174
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 9- 18
To predict the price of a used Toyota Camry,
use the equation
yˆ 76.2x1 42.24 x2 20350
where x1 is the age of the car (in years) and
x2 is the mileage (in thousands). Predict the
y-value for x1 = 6 and x2 = 54.
A. $17,612
B. $15,982
C. $18,526
D. $22,174
Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Addison-Wesley
Slide 9- 19