The following data show the brand, price , and the overall score for 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 (lowest) to (highest). The estimated regression equation for these data is , where and .
Brand | Price | Score |
Bose | 180 | 75 |
Skullcandy | 150 | 72 |
Koss | 85 | 62 |
Phillips/O'Neill | 70 | 56 |
Denon | 60 | 30 |
JVC | 55 | 35 |
Round your answers to three decimal places. a. Compute SST (to 3 decimals) SSR (to 3 decimals) SSE (to 3 decimals) b. Compute the coefficient of determination . Comment on the goodness of fit. The input in the box below will not be graded, but may be reviewed and considered by your instructor. c. What is the value of the sample correlation coefficient?
Regression Statistics | ||||||
Multiple R | 0.858977846 | |||||
R Square | 0.737842939 | |||||
Adjusted R Square | 0.672303674 | |||||
Standard Error | 10.75226784 | |||||
Observations | 6 | |||||
ANOVA | ||||||
df | SS | MS | F | Significance F | ||
Regression | 1 | 1301.554945 | 1301.555 | 11.25803 | 0.028428601 | |
Residual | 4 | 462.4450549 | 115.6113 | |||
Total | 5 | 1764 | ||||
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | |
Intercept | 24.12087912 | 10.19634447 | 2.36564 | 0.077187 | -4.188711561 | 52.4304698 |
X Variable 1 | 0.308791209 | 0.092030917 | 3.355299 | 0.028429 | 0.05327242 | 0.56431 |
regression equation is Score = 24.121 + 0.309 price
SST = 1764
SSR = 1301.555
SSE = 462.445
coefficient of determination = 0.738
Strong correlation between price and score
correlation coefficient = 0.859
The following data show the brand, price , and the overall score for stereo headphones that...
The following data show the brand, price ($), and the overall score for 6 stereo headphones that were tested by Consumer Reports. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is û 24.9 +0.301c , where = price ($) and y overall score. Brand Price Score Bose 180 76 Scullcandy 150 71 Koss 95 62 Phillips/O'Neill 70 57 Denon...
The following data show the brand, price ($), and the overall score for 6 stereo headphones that were tested by Consumer Reports. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is y^=23.973+.31X, where x= price and y= overall score. Brand Price Score Bose 170 76 Scullcandy 160 72 Koss 85 62 Phillips/O'Neill 60 56 Denon 60 30 JVC 65...
The following data show the brand, price ($), 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 = 24.881 + 0.301 x, where x = price ($) and y = overall score. Brand Price ($) Score Bose 180 75 Scullcandy 160 72 Koss 95 61...
The following data show the brand, price ($), and the overall score for 6 stereo headphones that were tested by Consumer Reports. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is = 26.508 + 0.285 x, where x = price ($) and y = overall score. Brand Price ($) Score Bose 180 75 Scullcandy 160 71 Koss 95 61 Phillips/O'Neill...
{Exercise 12.18 (Algorithmic)} The following data show the brand, price ($), 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 = 25.989 + 0.29x, where x = price ($) and y = overall score. Brand Price Score Bose 180 76 Scullcandy 150 71 Koss...
The following data show the brand, price (S), and the overall score for 6 stereo headphones that were tested by Consumer Reports. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from O (lowest) to 10° (highest). The estimated regression euation for these data is ,-2S857·0291x,-here x-price (s) and y " overall score. Price Score 76 71 61 160 85 70 60 45 Koss 30 35 VC Round your answers to three decimal...
The following data show the brand, price ($), 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 = 20.455 + 0.335x, 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 ($), and the overall score for six stereo headphones that were tested by a certain magazine. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). The estimated regression equation for these data is ŷ = 23.064 + 0.309x, where x = price ($) and y = overall score. Brand Price ($) Score A 180 74 B 150 69 C 95...
The following data on price ($) and the overall score for 6 stereo headphones that were tested by Consumer Reports were as follows. Brand Score Price ($) 186 Bose 72 Scullcandy 162 Koss 84 72 66 54 Phillips/O'Neill Denon 78 78 48 30 JVC 48 a. Does the t test indicate a significant relationship between price and the overall score? The test t-Conclusion at a = .05 t = (to 2 decimal places.) p-value is between .025 and .05 What...
The following data on price () and the overall score for stereo headphones that were tested by Consumer Reports were as follows. The estimated regression equation for these data is (y-hat) = 27.922+0.302x Brand Price Score Bose 180 76 Scullcandy 160 76 Koss 95 69 Phillips/O'Neill 70 58 Denon 80 50 JVC 35 26 a. Does the t test indicate a significant relationship between price and the overall score? The test -Conclusion at (alpha)=.05 t= _________ (to 2 decimal places.) t-value...