MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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The following data on price ($) and the overall score for 6 stereo headphones that were tested by Consumer Reports were as follows. The estimated regression equation for these data is
ŷ 25.135 +0.305x.
Use Table 2 of Appendix B to find the p-value.
The p-value is between 0.02 and 0.05
What is your conclusion? Use a = 0.05.
There is a significant relationship between price and overall score
a. Does the t test indicate a significant relationship between price and the overall score?
Compute the value of the t test statistic. Use a = 0.05
t =
X (to 2 decimal places.)
Source of Sum of Degrees
Variation Squares
of
Freedom
Regression
Error
Total
X
X
X
X
X
Mean
Square
X
X
F
Brand
Bose
Scullcandy
p-value
(to 4
decimals)
Koss
X
Phillips/O'Neill
Denon
JVC
Price Score
190 78
160
85
b. Test for a significant relationship using the F test. Use Table 4 of Appendix B.
p-value is between 0.01 and 0.025
What is your conclusion? Use a = 0.05.
Because p-value is less than or equal to ◆
0.05, we reject
Ho B₁ is equal to zero
c. Show the ANOVA table for these data. Round your answers to three decimal places, if necessary. Do not round intermediate calculations.
80
80
35
1654 N
75
67
40
27
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Transcribed Image Text:The following data on price ($) and the overall score for 6 stereo headphones that were tested by Consumer Reports were as follows. The estimated regression equation for these data is ŷ 25.135 +0.305x. Use Table 2 of Appendix B to find the p-value. The p-value is between 0.02 and 0.05 What is your conclusion? Use a = 0.05. There is a significant relationship between price and overall score a. Does the t test indicate a significant relationship between price and the overall score? Compute the value of the t test statistic. Use a = 0.05 t = X (to 2 decimal places.) Source of Sum of Degrees Variation Squares of Freedom Regression Error Total X X X X X Mean Square X X F Brand Bose Scullcandy p-value (to 4 decimals) Koss X Phillips/O'Neill Denon JVC Price Score 190 78 160 85 b. Test for a significant relationship using the F test. Use Table 4 of Appendix B. p-value is between 0.01 and 0.025 What is your conclusion? Use a = 0.05. Because p-value is less than or equal to ◆ 0.05, we reject Ho B₁ is equal to zero c. Show the ANOVA table for these data. Round your answers to three decimal places, if necessary. Do not round intermediate calculations. 80 80 35 1654 N 75 67 40 27
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