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	77
Scullcandy	150	78
Koss	95	61
Phillips/O'Neill	80	56
Denon	70	40
JVC	35	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 greater than .2 Item 2

What is your conclusion? Use α = .05.
- Select your answer -There is a significant relationship between price and overall score. There is no significant relationship between price and overall score. Item 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 Item 4

What is your conclusion? Use α = .05.

Because p-value is - Select your answer -greater than or equal to less than or equal to equal to Item 5 .05, we - Select your answer -accept reject Item 6 H₀: β₁ is - Select your answer -greater than or equal to zero less than or equal to zero equal to zero Item 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 .01 between .01 and .025 between .025 and .05 between .05 and .1 greater than .1Item 12
Error
Total

Answer 1

applying regression on above data:

a)

t=5.58

p value is less than .02

There is a significant relationship between price and overall score.

b)

less than .01

Because p-value is less than or equal to 0.05 reject Ho β₁ is not equal to 0

c)

	SS	df	MS	F	p value
Regression	1812.695	1	1812.695	31.145	less than .01
Residual	232.805	4	58.201
Total	2045.500	5