Problem Set #13 part 1

# Problem Set #13 part 1 - 1 a b sxy = 66.0 The covariance...

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1. a. b. s xy = 66.0 The covariance tells us that there is a positive correlation between x and y but does not tell us how strong the correlation is. c. r xy = 0.965221 The sample correlation coefficient tells us that there is a strong positive correlation between x and y because the coefficient is very close to 1. d. SUMMARY OUTPUT Regression Statistics Multiple R 0.965220569 R Square 0.931650747 Adjusted R Square 0.926393112 Standard Error 2.881702613 Observations 15 ANOVA df SS MS F Significance F Regression 1 1471.502604 1471.502604 177.1995907 5.96576E-09 Residual 13 107.9547293 8.304209949 Total 14 1579.457333 Coefficients Standard Error t Stat P-value Intercept 2.008394879 2.323792195 0.864274733 0.403102893 X Variable 1 1.591506433 0.119557559 13.31163366 5.96576E-09 Lower 95% Upper 95% Lower 95.0% Upper 95.0% -3.01185293 7.028642693 -3.01185293 7.028642693 1.333218029 1.849794837 1.333218029 1.849794837 y = 2.0084 + 1.5915x e. s x|y = 2.8817 f. r 2 = 0.9317 The coefficient of determination tells us that there is a strong positive correlation

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## This note was uploaded on 11/16/2009 for the course ECO 045 taught by Professor Robertj.thornton during the Spring '08 term at Lehigh University .

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Problem Set #13 part 1 - 1 a b sxy = 66.0 The covariance...

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