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	190	78
Scullcandy	150	76
Koss	85	67
Phillips/O'Neill	80	57
Denon	80	40
JVC	45	27

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 - Select your answer -less than .02, between .02 and .05, between .05 and .1, between .1 and .2 or greater than .2.

What is your conclusion? Use α = .05.
- Select your answer -There is a significant relationship between price and overall score OR There 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 .01, between .01 and .025, between .025 and .05, between .05 and .1, greater than .1

What is your conclusion? Use α = .05.

Because p-value is - Select your answer - greater than or equal to, less than or equal to. OR equal to 0.5 - we accept or reject H₀: β₁ is - Select your answer -greater than or equal to zero, less than or equal to zero, equal to zero?

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 .01, between .01 and .025, between .025 and .05, between .05 and .1greater than .1
Error				x
Total			x	x

Answer 1

Applying regression from excel: data -data analysis: regression:

	df	SS	MS	F	Significance F
Regression	1	1500.843	1500.843	10.19842	0.033106
Residual	4	588.6569	147.1642
Total	5	2089.5
	Coefficients	Standard Error	t Stat	P-value
Intercept	23.71897	11.68002	2.030729	0.11212
Price	0.321724	0.100744	3.193497	0.033106

from above":

a) The test t =3.19

p-value is between .02 and .05

There is a significant relationship between price and overall score

b)

p-value is   between .025 and .05

Because p-value is less than or equal to 0.05 reject H₀: β₁ is equal to zero

	df	SS	MS	F	p value
Regression	1500.843	1	1500.843	10.198	between 0.025 and 0.05
Residual	588.657	4	147.164
Total	2089.500	5