Question

The following data show the brand, price ($), and the overall
score for 6 stereo headphones that were tested by Consumer Reports.
The overall score is based on sound quality and effectiveness of
ambient noise reduction. Scores range from 0 (lowest) to 100
(highest). The estimated regression equation for these data is Y=
22.153 + 0.328 x, where x = price ($) and y = overall score. Brand
Price ($) Score Bose 170 76 Skullcandy 160 71 Koss 95 62
Phillips/O'Neill 70 56 Denon 60 40 JVC 45 25

Round your answers to three decimal places.

a. Compute SST, SSR, and SSE.

SST ( )

SSR ( )

SSE ( )

b. Compute the coefficient of determination r 2. Comment on the
goodness of fit.

r 2 = ( )

c. What is the value of the sample correlation coefficient? r = (
)

Answer #1

a) SST= 1872 SSR=1515.872 SSE=356.128

b) coefficient of multiple determination r2=SSR/SST

=1515.872 / 1872

=0.810

c)correlation coefficient r= = 0.90

The following data show the brand, price ($), and the overall
score for 6 stereo headphones that were tested by Consumer Reports.
The overall score is based on sound quality and effectiveness of
ambient noise reduction. Scores range from 0 (lowest) to 100
(highest). The estimated regression equation for these data is ŷ =
25.036 + 0.3x, where x = price ($) and y = overall score.
Brand Price Score Bose 180 76 Scullcandy 150 71 Koss 85 61
Phillips/O'Neill...

The following data
show the brand, price ($), and the overall score for 6 stereo
headphones that were tested by Consumer Reports. The overall score
is based on sound quality and effectiveness of ambient noise
reduction. Scores range from 0 (lowest) to 100 (highest). The
estimated regression equation for these data is ŷ = 25.854 +
0.291x, where x = price ($) and y = overall score.
Brand
Price
Score
Bose
170
75
Scullcandy
160
71
Koss
95
62
Phillips/O'Neill...

The following data show the brand, price ( $ ) and the overall
score for 6 stereo headphones that were tested by Consumer
Reports. The overall score is based on sound quality and
effectiveness of ambient noise reduction. Scores range from 0
(lowest) to 100 ( highest) The estimated regression equation for
these data is y-hat = 25.147 + 0.299x , where x = price ( $ ) and y
= overall score.
Brand
Price
Score
Bose
180
75
Scullcandy...

Exercise 12.18
(Algorithmic)}
The following data
show the brand, price ($), and the overall score for 6 stereo
headphones that were tested by Consumer Reports. The overall score
is based on sound quality and effectiveness of ambient noise
reduction. Scores range from 0 (lowest) to 100 (highest). The
estimated regression equation for these data is ŷ = 28.381 +
0.266x, where x = price ($) and y = overall score.
Brand
Price
Score
Bose
180
75
Scullcandy
160
71
Koss...

The following data show the brand, price ($), and the overall
score for six stereo headphones that were tested by a certain
magazine. The overall score is based on sound quality and
effectiveness of ambient noise reduction. Scores range from 0
(lowest) to 100 (highest). The estimated regression equation for
these data is
ŷ = 19.385 + 0.346x,
where x = price ($) and y = overall score.
Brand
Price ($)
Score
A
180
78
B
150
71
C
95...

The following data show the brand, price ($), and the overall
score for six stereo headphones that were tested by a certain
magazine. The overall score is based on sound quality and
effectiveness of ambient noise reduction. Scores range from 0
(lowest) to 100 (highest). The estimated regression equation for
these data is
ŷ = 24.331 + 0.307x,
where x = price ($) and y = overall score.
Brand
Price ($)
Score
A
180
74
B
150
71
C
95...

The following data show the brand, price ($), and the overall
score for six stereo headphones that were tested by a certain
magazine. The overall score is based on sound quality and
effectiveness of ambient noise reduction. Scores range from 0
(lowest) to 100 (highest). The estimated regression equation for
these data is
ŷ = 22.324 + 0.327x,
where x = price ($) and y = overall score.
Brand
Price ($)
Score
A
180
78
B
150
69
C
95...

The following data show the brand, price ($), and the overall
score for six stereo headphones that were tested by a certain
magazine. The overall score is based on sound quality and
effectiveness of ambient noise reduction. Scores range from 0
(lowest) to 100 (highest). The estimated regression equation for
these data is
ŷ = 24.331 + 0.307x,
where x = price ($) and y = overall score.
Brand
Price ($)
Score
A
180
74
B
150
71
C
95...

The following data show the brand, price ($), and the overall
score for six stereo headphones that were tested by a certain
magazine. The overall score is based on sound quality and
effectiveness of ambient noise reduction. Scores range from 0
(lowest) to 100 (highest). The estimated regression equation for
these data is
ŷ = 21.656 + 0.333x,
where x = price ($) and y = overall score.
Brand
Price ($)
Score
A
180
76
B
150
73
C
95...

The following data show the brand, price ($), and the overall
score for six stereo headphones that were tested by a certain
magazine. The overall score is based on sound quality and
effectiveness of ambient noise reduction. Scores range from 0
(lowest) to 100 (highest). The estimated regression equation for
these data is
ŷ = 23.127 + 0.319x,
where x = price ($) and y = overall score.
Brand
Price ($)
Score
A
180
74
B
150
73
C
95...

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