Question
Consider the following data on price ($) and the overall score for six stereo headphones tested by a certain magazine. The overall score is based
Consider the following data on price ($) and the overall score for six stereo headphones tested by a certain magazine. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest).
BrandPrice ($)ScoreA18074B15069C9559D7056E7042F3524(a)
The estimated regression equation for this data is=23.398+0.306x,
wherex= price ($)andy= overall score.Does thettest indicate a significant relationship between price and the overall score? Use= 0.05.
State the null and alternative hypotheses.
H0:10
Ha:1= 0
H0:1= 0
Ha:10
H0:0= 0
Ha:00
H0:00
Ha:0= 0
H0:10
Ha:1< 0
Find the value of the test statistic. (Round your answer to three decimal places.)
Find thep-value. (Round your answer to four decimal places.)
p-value =
What is your conclusion?
RejectH0. We conclude that the relationship between price ($) and overall score is significant.
Do not rejectH0. We conclude that the relationship between price ($) and overall score is significant.
Do not rejectH0. We cannot conclude that the relationship between price ($) and overall score is significant.
RejectH0. We cannot conclude that the relationship between price ($) and overall score is significant.
(b)
Test for a significant relationship using theFtest. Use= 0.05.
State the null and alternative hypotheses.
H0:1= 0
Ha:10
H0:0= 0
Ha:00
H0:10
Ha:1= 0
H0:10
Ha:1< 0
H0:00
Ha:0= 0
Find the value of the test statistic. (Round your answer to two decimal places.)
Find thep-value. (Round your answer to three decimal places.)
p-value =
What is your conclusion?
RejectH0. We conclude that the relationship between price ($) and overall score is significant.
Do not rejectH0. We cannot conclude that the relationship between price ($) and overall score is significant.
RejectH0. We cannot conclude that the relationship between price ($) and overall score is significant.
Do not rejectH0. We conclude that the relationship between price ($) and overall score is significant.
(c)
Show the ANOVA table for these data. (Round yourp-value to three decimal places and all other values to two decimal places.)
Source
of VariationSum
of SquaresDegrees
of FreedomMean
SquareFp-valueRegressionErrorTotal
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started