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The estimated regression equation for this data is ŷ = 21.588629 +0.334114x, where x = price ($) and y = overall score. Does the t test indicate a significant relationship between price and the overall score? Use α = 0.05. State the null and alternative hypotheses. Ho: Po +0 H₂: Po = 0 Ho: B₁ = 0 ○ Mo: B₁ = 0 H₂ P₁ = 0 OH ₁₂ 20 H₂: B₁ <0 o Hoi Bo = 0 Ha: Po 0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value= What is your conclusion? Do not reject Ho. We conclude that the relationship between price ($) and overall score is significant. Reject Ho. We conclude that the relationship between price ($) and overall score is significant. Do not reject Ho. We cannot conclude that the relationship between price ($) and overall score is significant. Reject Ho. We cannot conclude that the relationship between price ($) and overall score is significant. Test for a significant relationship using the F test. Use α = 0.05. State the null and alternative hypotheses. H: B=0

The estimated regression equation for this data is ŷ = 21.588629 +0.334114x, where x = price ($) and y = overall score. Does the t test indicate a significant relationship between price and the overall score? Use α = 0.05. State the null and alternative hypotheses. Ho: Po +0 H₂: Po = 0 Ho: B₁ = 0 ○ Mo: B₁ = 0 H₂ P₁ = 0 OH ₁₂ 20 H₂: B₁ <0 o Hoi Bo = 0 Ha: Po 0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value= What is your conclusion? Do not reject Ho. We conclude that the relationship between price ($) and overall score is significant. Reject Ho. We conclude that the relationship between price ($) and overall score is significant. Do not reject Ho. We cannot conclude that the relationship between price ($) and overall score is significant. Reject Ho. We cannot conclude that the relationship between price ($) and overall score is significant. Test for a significant relationship using the F test. Use α = 0.05. State the null and alternative hypotheses. H: B=0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 2CYU
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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 78 B 150 71 C 95 59 D 70 58 E 70 40 F 35 24
Transcribed Image Text: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 78 B 150 71 C 95 59 D 70 58 E 70 40 F 35 24
(a) The estimated regression equation for this data is ŷ = 21.588629 + 0.334114x, where x = price ($) and y = overall score. Does the t test indicate a significant relationship between price and the overall score? Use α = 0.05. State the null and alternative hypotheses. o Hoi Bo = 0 на: во = 0 ○ Ho: B₁ = 0 Ha B₁ = 0 1 = O Ho: ẞ1 0 Ha B 1 = 0 O Ho: B₁ ≥ 0 H₂ B₁ < 0 но: во 1 = 0 Ha: Po 0 0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? Do not reject Ho. We conclude that the relationship between price ($) and overall score is significant. Reject Ho. We conclude that the relationship between price ($) and overall score is significant. Do not reject Ho. We cannot conclude that the relationship between price ($) and overall score is significant. Reject Ho. We cannot conclude that the relationship between price ($) and overall score is significant. (b) Test for a significant relationship using the F test. Use α = 0.05. State the null and alternative hypotheses. Ho: B₁ ≥ 0 1 H₂ B₁ <0 1 Hoi Bo = 0 Ha Bo = 0
Transcribed Image Text:(a) The estimated regression equation for this data is ŷ = 21.588629 + 0.334114x, where x = price ($) and y = overall score. Does the t test indicate a significant relationship between price and the overall score? Use α = 0.05. State the null and alternative hypotheses. o Hoi Bo = 0 на: во = 0 ○ Ho: B₁ = 0 Ha B₁ = 0 1 = O Ho: ẞ1 0 Ha B 1 = 0 O Ho: B₁ ≥ 0 H₂ B₁ < 0 но: во 1 = 0 Ha: Po 0 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? 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. Do not reject Ho. We cannot 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. (b) Test for a significant relationship using the F test. Use α = 0.05. State the null and alternative hypotheses. Ho: B₁ ≥ 0 1 H₂ B₁ <0 1 Hoi Bo = 0 Ha Bo = 0
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