Answer Happy

You may need to use the appropriate tech Consider the following data on price ($) and the overall score for six stereo headphones tested by a certain magazine. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest) Brand Price ($) A =UO C D E 180 150 F 95- 70 ON 4-O 70 35 (a) The estimated regression equation for this data is -24.397993+0.306020x, wherexprice ($) and yw overall score. Does the t test indicate a significant relationship between price and the overall score? Use -0.05 ₂0. Score 76 CHAO H₂P₂-0 20 69 ⒸMP D H.B.0 56 State the null and alternative hypotheses. OH₂O H₂P-O 36 28
Ho: P₁0 H₂: A₁ = 0 O Ho: P₁ 20 H₂: B₁ <0 O Ho: P₁ = 0 H₂: B₁ 0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value= What is your conclusion? O Do not reject Ho. We cannot conclude that the relationship between price ($) and overall score is significant. Reject Ho. We conclude that the relationship between price ($) and overall score is significant. Do not reject Ho. We conclude that the relationship between price ($) and overall score is significant. Reject Ho. We cannot conclude that the relationship between price ($) and overall score is significant. (b) Test for a significant relationship using the F test. Use a = 0.05. State the null and alternative hypotheses. Ho: P₁ +0 H₂: A₁ = 0 Ho: 120 H: ₁ <0 Ho: Po-0 H₂: Po 0 O Ho: Po 0 H₂: Po-O O Ho: P₁0 Find the value of the test statistic. (Round your answer to two decimal places.)
H₂: B₁ * 0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = What is your conclusion? Reject Ho. We conclude that the relationship between price ($) and overall score is significant. Do not reject Ho. We cannot conclude that the relationship between price ($) and overall schre is significant. Do not reject Ho. We conclude that the relationship between price ($) and overall score is significant. Reject Ho. We cannot conclude that the relationship between price ($) and overall score is significant. (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 Regression Error Total Sum Degrees of Squares of Freedom Mean Square p-value