Question

The following data on price ($) and the overall score for 6 stereo headphones that were tested by Consumer Reports were as follows. Brand Price ($) Score Bose 186 78 Scullcandy 162 78 Koss 90 60 Phillips/O'Neill 78 54 Denon 72 42 JVC 36 30 a. Does the t test indicate a significant relationship between price and the overall score? The test t-Conclusion at = .05 t = (to 2 decimal places.) p-value is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .1greater than .1Item 2 What is your conclusion? Use = .05. - Select your answer -There is a significant relationship between price and overall scoreThere is no significant relationship between price and overall scoreItem 3 . b. Test for a significant relationship using the F test. p-value is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .1greater than .1Item 4 What is your conclusion? Use = .05. Because p-value is - Select your answer -greater than or equal toless than or equal toequal toItem 5 .05, we - Select your answer -acceptrejectItem 6 H 0: β 1 is - Select your answer -greater than or equal to zeroless than or equal to zeroequal to zeroItem 7 . c. Show the ANOVA table for these data. Round your answers to three decimal places, if necessary. Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Regression - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .1greater than .1Item 12 Error Total

Answer 1

a) T-stat:6.34;P-value:0.003:there is significant relation between price and score

b)P-value is :0.003,because p-value is lessthan 0.05 reject h0:beta1=0

c)SSR=1686.3 df=1 MSR=1686.3 Fvalue=4021 pvalue:less than 001

SSE=167.7 df=4 MSE=41.9 - -

SST=1854 df=5