Answered: 95 63 70 56 70 40 35 28 d regression…

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 180 74 В 150 69 95 63 70 56 70 40 F 35 28 (a) The estimated regression equation for this data is ý = 25.870 + 0.291x, where x = price ($) and y = overall score. Does the t test indicate a significant relationship between price and the overall score? Use a = 0.05. State the null and alternative hypotheses. O Ho: Bo * 0 H: Bo = 0 O Ho: B1 20 Hoi Bq < 0 O Ho: Bo = 0 Hg: Bo 0 O Ho: B1* 0 H: B, = 0 O Ho: B, = 0 H: B1 = 0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? O Do not reject H. We conclude that the relationship between price ($) and overall score is significant. O Do not reject H,. We cannot conclude that the relationship between price ($) and overall score is significant. O Reject Ho. We conclude that the relationship between price ($) and overall score is significant.

(b) Test for a significant relationship using the F test. Use a = 0.05.
State the null and alternative hypotheses.
O Ho: B1 2 0
H3:ßq < 0
O Ho: B1 = 0
H: B, # 0
O Ho: Bo *0
H: Bo = 0
O Ho: Bo = 0
H: Bo = 0
O Ho: B1 0
H: B, = 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?
O Do not reject Ho. We 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.
O Reject H,. We cannot 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.)
Degrees
of Freedom
Source
Sum
Mean
p-value
of Variation
of Squares
Square
Regression
Error
Total

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