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	180	78
Scullcandy	150	75
Koss	95	68
Phillips/O'Neill	70	56
Denon	80	40
JVC	35	26

a. Does the t test indicate a significant relationship between price and the overall score?

The test t-Conclusion at α = .05

t = (to 2 decimal places.)

p-value is -

What is your conclusion? Use α = .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 α = .05.

Because p-value is - -greater than or equal toless than or equal toequal toItem 5 .05, we - Select your answer 6 H₀: β₁ 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
Error
Total

Answer 1

SST=Syy=		2,136.8333
SSE =Syy-(Sxy)2/Sxx=		467.660
SSR =(Sxy)2/Sxx =		1,669.1734

	s2 =SSE/(n-2)=	116.9150
std error σ              =	=se =√s2=	10.8127

a)

test stat t =	(bo-β1)/se(β1)=	=	3.78
p value:		=	0.0195 ~0.019 or between 0.01 and 0.025

There is a significant relationship between price and overall score

b)test statistic F =14.28

between .01 and .025

Because p-value is  less than or equal to 0.05 we reject Ho :β₁ is equal to zero

c)

SS	df	MS	F	p value
1669.173	1	1669.173	14.277	0.019
467.660	4	116.915
2136.833	5