13-1370 The following data on price and the overall score for 6 stereo headphone

Question

13-1370 The following data on price and the overall score for 6 stereo headphones that were tested by Consumer Reports were as follows. Price Score Brand 186 150 72 Phillips/O'Neill a. Does the t test indicate a significant relationship between price and the overall score? at o .05 The test t-Conclusion (to 2 decimal places.) p value is between a What is your conclusion? use a .05. significant relationship between price and overall score b. Test for a signficant relationship using the F test. p-value is between 01 and ozs What is your conclusion? Use a .05. Because p value is less than or equal to Ho: B1 is equal to aero MacBook Air

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: Score
Independent Variable: Price
Score = 19.807047 + 0.34144295 Price
Sample size: 6
R (correlation coefficient) = 0.91496027
R-sq = 0.8371523
Estimate of error standard deviation: 9.0054514

Parameter estimates:

Analysis of variance table for regression model:

Hence,

a) t = 4.53

c) ANOVA table:

Analysis of variance table for regression model:

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 19.807047 8.787499 0 4 2.2540028 0.0873 Slope 0.34144295 0.075296837 0 4 4.5346254 0.0105

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