Consider the following data on price ($) and the overall score for six stereo headphones tested by a certain magazine. The overa
ll score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest).(a)The estimated regression equation for this data is ŷ = 26.204 + 0.288x, where x = price ($) and y = overall score. Does the t test indicate a significant relationship between price and the overall score? Use α = 0.05.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.)(b) Test for a significant relationship using the F test. Use α = 0.05. 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.)(c) Show the ANOVA table for these data. (Round your p-value to three decimal places and all other values to two decimal places.)Brand Price ScoreA 180 74 B 150 69 C 95 61D 70 56E 70 42 F 35 28
