The following data on price ($) and the overall score for 6 stereo headphones th

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 76 Scullcandy 150 79 Koss 95 69 Phillips/O'Neill 70 56 Denon 80 40 JVC 45 26 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 What is your conclusion? Use = .05. . b. Test for a significant relationship using the F test. p-value is What is your conclusion? Use = .05. Because p-value is .05, we H0: 1 is . 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 Error Total Icon Key

Explanation / Answer

score^ = 23.5771 +0.3247 * price

t = 3.03523 = 3.06

p-value = 0.038582084

p-value < 0.05

we reject the null Ho: b1 = 0

b) p-value using F-test = 0.038582084

same conclusion as in a) part

c) table is already posted earlier

SUMMARY OUTPUT Regression Statistics Multiple R 0.835020596 R Square 0.697259396 Adjusted R Square 0.621574245 Standard Error 13.01279797 Observations 6 ANOVA df SS MS F Significance F Regression 1 1560.001689 1560.001689 9.212631376 0.038582084 Residual 4 677.3316441 169.332911 Total 5 2237.333333 Coefficients Standard Error t Stat P-value Lower 95% Intercept 23.57713964 12.42432007 1.897660356 0.130590846 -10.918303 price 0.324662162 0.10696454 3.035231684 0.038582084 0.027680987

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