You may need to use the appropriate technology to answer this question. Consider the following data on price ($) and the overall score for six stereo headphones tested by a certain magazine. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). Brand Price ($) Score A 180 76 B 150 73 C 95 61 D 70 56 E 70 40 F 35 24 (a) The estimated regression equation for this data is ŷ = 21.656 + 0.333x, where x = price ($) and y = overall score.Does the t test indicate a significant relationship between price and the overall score? Use ? = 0.05. State the null and alternative hypotheses. H0: ?1 = 0 Ha: ?1 ≠ 0H0: ?0 ≠ 0 Ha: ?0 = 0     H0: ?1 ≥ 0 Ha: ?1 < 0H0: ?0 = 0 Ha: ?0 ≠ 0H0: ?1 ≠ 0 Ha: ?1 = 0 Find the value of the test statistic. (Round your answer to three decimal places.)   Find the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? Reject H0. We cannot conclude that the relationship between price ($) and overall score is significant. Reject H0. We conclude that the relationship between price ($) and overall score is significant.      Do not reject H0. We cannot conclude that the relationship between price ($) and overall score is significant. Do not reject H0. We conclude that the relationship between price ($) and overall score is significant. (b) Test for a significant relationship using the F test. Use ? = 0.05. State the null and alternative hypotheses. H0: ?1 ≠ 0 Ha: ?1 = 0H0: ?1 ≥ 0 Ha: ?1 < 0     H0: ?1 = 0 Ha: ?1 ≠ 0H0: ?0 ≠ 0 Ha: ?0 = 0H0: ?0 = 0 Ha: ?0 ≠ 0 Find the value of the test statistic. (Round your answer to two decimal places.)   Find the p-value. (Round your answer to three decimal places.) p-value = What is your conclusion? Do not reject H0. We cannot conclude that the relationship between price ($) and overall score is significant. Reject H0. We cannot conclude that the relationship between price ($) and overall score is significant.      Reject H0. We conclude that the relationship between price ($) and overall score is significant. Do not reject H0. We conclude that the relationship between price ($) and overall score is significant. (c) Show the ANOVA table for these data. (Round your p-value to three decimal places and all other values to two decimal places.) Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Regression           Error           Total           I need A, B and C

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Consider the following data on price ($) and the overall score for six stereo headphones tested by a certain magazine. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest).
Brand Price ($) Score
A 180 76
B 150 73
C 95 61
D 70 56
E 70 40
F 35 24
(a)
The estimated regression equation for this data is
ŷ = 21.656 + 0.333x,
where x = price ($) and y = overall score.Does the t test indicate a significant relationship between price and the overall score? Use ? = 0.05.
State the null and alternative hypotheses.
H0: ?1 = 0
Ha: ?1 ≠ 0H0: ?0 ≠ 0
Ha: ?0 = 0     H0: ?1 ≥ 0
Ha: ?1 < 0H0: ?0 = 0
Ha: ?0 ≠ 0H0: ?1 ≠ 0
Ha: ?1 = 0
Find the value of the test statistic. (Round your answer to three decimal places.)
 
Find the p-value. (Round your answer to four decimal places.)
p-value =
What is your conclusion?
Reject H0. We cannot conclude that the relationship between price ($) and overall score is significant. Reject H0. We conclude that the relationship between price ($) and overall score is significant.      Do not reject H0. We cannot conclude that the relationship between price ($) and overall score is significant. Do not reject H0. We conclude that the relationship between price ($) and overall score is significant.
(b)
Test for a significant relationship using the F test. Use ? = 0.05.
State the null and alternative hypotheses.
H0: ?1 ≠ 0
Ha: ?1 = 0H0: ?1 ≥ 0
Ha: ?1 < 0     H0: ?1 = 0
Ha: ?1 ≠ 0H0: ?0 ≠ 0
Ha: ?0 = 0H0: ?0 = 0
Ha: ?0 ≠ 0
Find the value of the test statistic. (Round your answer to two decimal places.)
 
Find the p-value. (Round your answer to three decimal places.)
p-value =
What is your conclusion?
Do not reject H0. We cannot conclude that the relationship between price ($) and overall score is significant. Reject H0. We cannot conclude that the relationship between price ($) and overall score is significant.      Reject H0. We conclude that the relationship between price ($) and overall score is significant. Do not reject H0. We conclude that the relationship between price ($) and overall score is significant.
(c)
Show the ANOVA table for these data. (Round your p-value to three decimal places and all other values to two decimal places.)
Source
of Variation
Sum
of Squares
Degrees
of Freedom
Mean
Square
F p-value
Regression          
Error          
Total        

 

I need A, B and C

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