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 25.054+0.332. Brand Price Score Bose 180 78 Scullcandy 150 76 Koss 95 67 Phillips/O'Neill 80 58 Denon 70 50 JVC 45 27 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 (to 2 decimal places.) Use Table 2 of Appendix B to find the p-value. The p-value is between 0.01 and 0.02 What is your conclusion? Use a = 0.05. There is a significant relationship between price and overall score 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. Ho: B₁ is equal to zero 0.05, we reject Because p-value is less than or equal to c. Show the ANOVA table for these data. Round your answers to three decimal places, if necessary. Do not round intermediate calculations. F p-value Degrees of Freedom Sum of Squares Source of Variation Mean Square (to 4 decimals) C

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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Question
The p-value is between 0.01 and 0.02
What is your conclusion? Use a = 0.05.
There is a significant relationship between price and overall score
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.
Source of
Variation
Sum of
Squares
Degrees of
Freedom
Mean Square
p-value
(to 4 decimals)
x
X
*
x
Regression
Error
Total
Hide Feedback
Partially Correct
O Icon Key
the pealue.
XX
*
Hint(s)
Transcribed Image Text:The p-value is between 0.01 and 0.02 What is your conclusion? Use a = 0.05. There is a significant relationship between price and overall score 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. Source of Variation Sum of Squares Degrees of Freedom Mean Square p-value (to 4 decimals) x X * x Regression Error Total Hide Feedback Partially Correct O Icon Key the pealue. XX * Hint(s)
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
25.054+0.332x.
O
Brand
Price
Score
Bose
180
78
150
76
Scullcandy
Koss
95
67
80
58
Phillips/O'Neill
Denon
70
50
JVC
45
27
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=
(to 2 decimal places.)
Use Table 2 of Appendix B to find the p-value.
The p-value is between 0.01 and 0.02
What is your conclusion? Use a = 0.05.
There is a significant relationship between price and overall score
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.
✔
A
Ho B₁ is equal to zero
0.05, we reject
Because p-value is less than or equal to
c. Show the ANOVA table for these data. Round your answers to three decimal places, if necessary. Do not round intermediate calculations.
F
Source of
Variation
Degrees of
Freedom
Sum of
Squares
Mean Square
p-value
(to 4 decimals)
S
DIL
F9
Fo
F2
#
3
80
F3
S4
$
888
F4
%
5
6
&
7
F7
* 00
8
FR
(
9
O
F10
-
P
C
+
=
1
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 25.054+0.332x. O Brand Price Score Bose 180 78 150 76 Scullcandy Koss 95 67 80 58 Phillips/O'Neill Denon 70 50 JVC 45 27 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= (to 2 decimal places.) Use Table 2 of Appendix B to find the p-value. The p-value is between 0.01 and 0.02 What is your conclusion? Use a = 0.05. There is a significant relationship between price and overall score 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. ✔ A Ho B₁ is equal to zero 0.05, we reject Because p-value is less than or equal to c. Show the ANOVA table for these data. Round your answers to three decimal places, if necessary. Do not round intermediate calculations. F Source of Variation Degrees of Freedom Sum of Squares Mean Square p-value (to 4 decimals) S DIL F9 Fo F2 # 3 80 F3 S4 $ 888 F4 % 5 6 & 7 F7 * 00 8 FR ( 9 O F10 - P C + = 1
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