Question

In: Statistics and Probability

Brand Price ($) Score Bose 180 72 Scullcandy 150 78 Koss 84 66 Phillips/O'Neill 72 60...

Brand	Price ($)	Score
Bose	180	72
Scullcandy	150	78
Koss	84	66
Phillips/O'Neill	72	60
Denon	84	48
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

Expert Solution

SSE =Syy-(Sxy)²/Sxx=

487.126

	s² =SSE/(n-2)=	121.7816
std error σ =	=se =√s²=	11.0355

estimated std error of slope =se(β₁) =s/√Sxx=

0.0923

a)

test stat t =	(bo-β₁)/se(β₁)=	=	2.94
p value:		=	0.0423

p value :between .025 and .05

here is a significant relationship between price and overall score

b)

F =8.66

between .025 and .05

Because p-value is less than or equal to 0.05 reject Ho: β ₁ is 0

Source	SS	df	MS	F	p value
regression	1054.874	1	1054.874	8.662	0.042
Residual error	487.126	4	121.782
Total	1542.000	5

orchestra answered 2 years ago

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