Consider the following data on price ($) and the overall score for six stereo headphones tested by a certain magazine. The overall score is based on sound quality and effectiveness of ambient noisereduction. Scores range from 0 (lowest) to 100 (highest).BrandPrice ($)ScoreA18076В15069C95637054E7038F3524(a) The estimated regression equation for this data is ŷ21.258 + 0.327x, where x =price ($) and y= overall score. Does the t test indicate a significant relationship between price and the overallscore? Use a = 0.05.State the null and alternative hypotheses.Ho: B1 + 0Ha: B1Ho: B1Ha: B1 + 0= 0O Ho: Po = 0Ha: Bo + 0O Ho: B1 2 0Ha: B1 < 0O Ho: Po + 0Hai B= 0Find the value of the test statistic. (Round your answer to three decimal places.)Find the p-value. (Round your answer to four decimal places.)p-value (b) Test for a significant relationship using the F test. Use a = 0.05.State the null and alternative hypotheses.Ho: Bq = 0Ha: B1 + 0Ho: B, + 01HaB1Ho: B, 2 0H3: B1 < 0Ho: Bo + 0Ha: Po = 0Ho: PoH: Bo + 0= 0Find the value of the test statistic. (Round your answer to two decimal places.)Find the p-value. (Round your answer to three decimal places.)p-valueWhat is your conclusion?Do not reject Ho: We conclude that the relationship between price ($) and overall score is significant.Reject Ho. We cannot conclude that the relationship between price ($) and overall score is significant.Reject Ho. We conclude that the relationship between price ($) and overall score is significant.Do not reject Ho. We cannot 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.)SourceSumDegreesof FreedomMeanFp-valueof Variationof SquaresSquareRegressionErrorTotal

We have used the excel data analysis tool to run the regression analysis.

Answered: (a) The estimated regression equation…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Transcribed Image Text: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 В 150 69 C 95 63 70 54 E 70 38 F 35 24 (a) The estimated regression equation for this data is ŷ 21.258 + 0.327x, where x = price ($) and y = overall score. Does the t test indicate a significant relationship between price and the overall score? Use a = 0.05. State the null and alternative hypotheses. Ho: B1 + 0 Ha: B1 Ho: B1 Ha: B1 + 0 = 0 O Ho: Po = 0 Ha: Bo + 0 O Ho: B1 2 0 Ha: B1 < 0 O Ho: Po + 0 Hai B = 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

(b) Test for a significant relationship using the F test. Use a = 0.05.
State the null and alternative hypotheses.
Ho: Bq = 0
Ha: B1 + 0
Ho: B, + 0
1
Ha
B1
Ho: B, 2 0
H3: B1 < 0
Ho: Bo + 0
Ha: Po = 0
Ho: Po
H: Bo + 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 Ho: We conclude that the relationship between price ($) and overall score is significant.
Reject Ho. We cannot conclude that the relationship between price ($) and overall score is significant.
Reject Ho. We conclude that the relationship between price ($) and overall score is significant.
Do not reject Ho. We cannot conclude that the relationship between price ($) 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
Sum
Degrees
of Freedom
Mean
F
p-value
of Variation
of Squares
Square
Regression
Error
Total

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