Questions Exercise 14.18 Algo (Coefficient of Determination) 1 2. 3. 4. 5. 6. O ● ● ● a. Compute SST, SSR, and SSE (to 3 decimals). The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website). The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is = 23.2642 +0.3174z, where z = price ($) and y = overall score. Brand Bose Scullcandy SST => SSR= Koss هر Phillips/O'Neill Denon JVC SSE = b. Compute the coefficient of determination 2 (to 3 decimals). Price ($) 170 160 85 70 60 55 Score 0 75 7 1 6 40 26 72 61 Question 3 of 6 > 56 4 Check My Work 72 = Comment on the goodness of fit. Hint: If r² is greater than 0.70, the estimated regression equation provides a good fit. The least squares line - Select your answer a good fit as Select your answer-proportion of the variability in y has been explained by the least squares line. c. What is the value of the sample correlation coefficient (to 3 decimals)? Txy ==

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hapter 14 Homework
Questions Exercise 14.18 Algo (Coefficient of Determination)
1.
2.
3.
4.
5.
6.
a. Compute SST, SSR, and SSE (to 3 decimals).
The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website). The
overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for
these data is = 23.2642 +0.3174x, where x = price ($) and y = overall score.
SST =
Brand
Bose
Scullcandy
Koss
Phillips/O'Neill
Txy
Denon
JVC
SSR =
SSE =
b. Compute the coefficient of determination 2 (to 3 decimals).
2
Price ($)
170
160
85
70
60
55
Score
75
72
61
56
40
26
4 Question 3 of 6 ►
W
Check My Work
Comment on the goodness of fit. Hint: If 2 is greater than 0.70, the estimated regression equation provides a good fit.
The least squares line Select your answer - ✓a good fit as - Select your answer- proportion of the variability in y has been explained by the least squares line.
c. What is the value of the sample correlation coefficient (to 3 decimals)?
Check My Work
Transcribed Image Text:hapter 14 Homework Questions Exercise 14.18 Algo (Coefficient of Determination) 1. 2. 3. 4. 5. 6. a. Compute SST, SSR, and SSE (to 3 decimals). The following data show the brand, price ($), and the overall score for six stereo headphones that were tested by Consumer Reports (Consumer Reports website). 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 = 23.2642 +0.3174x, where x = price ($) and y = overall score. SST = Brand Bose Scullcandy Koss Phillips/O'Neill Txy Denon JVC SSR = SSE = b. Compute the coefficient of determination 2 (to 3 decimals). 2 Price ($) 170 160 85 70 60 55 Score 75 72 61 56 40 26 4 Question 3 of 6 ► W Check My Work Comment on the goodness of fit. Hint: If 2 is greater than 0.70, the estimated regression equation provides a good fit. The least squares line Select your answer - ✓a good fit as - Select your answer- proportion of the variability in y has been explained by the least squares line. c. What is the value of the sample correlation coefficient (to 3 decimals)? Check My Work
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NORMAL FLOAT AUTO REAL RADIAN MP
y=ax+b
TI-84 Plus CE
a=0.3173584906
b=23.26415094
2nd
A-lock
stat plot f1 tblset f2 format f3 calc f4 table f5
y=
window
graph
quit
LinReg
mode
link
alpha
X,T, 0,n
test A angle B
zoom
ins
del
list
stat
draw c
trace
distr
-=
=
Transcribed Image Text:NORMAL FLOAT AUTO REAL RADIAN MP y=ax+b TI-84 Plus CE a=0.3173584906 b=23.26415094 2nd A-lock stat plot f1 tblset f2 format f3 calc f4 table f5 y= window graph quit LinReg mode link alpha X,T, 0,n test A angle B zoom ins del list stat draw c trace distr -= =
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