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

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

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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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
H_a: ?₁ ≠ 0H₀: ?₀ ≠ 0
H_a: ?₀ = 0 H₀: ?₁ ≥ 0
H_a: ?₁ < 0H₀: ?₀ = 0
H_a: ?₀ ≠ 0H₀: ?₁ ≠ 0
H_a: ?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
H_a: ?₁ = 0H₀: ?₁ ≥ 0
H_a: ?₁ < 0 H₀: ?₁ = 0
H_a: ?₁ ≠ 0H₀: ?₀ ≠ 0
H_a: ?₀ = 0H₀: ?₀ = 0
H_a: ?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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