Question

Summary Output Regression Statistics Multiple R: 0.7732 R Square: 0.5978 Adjusted R Square: 0.5476 Standard Error: 3.0414 Observations: 10 ANOVA df SS MS F Significance F Regression: 1 110 110 11.892 0.009 Residual: 8 74 9.25 Total: 9 184 Coefficients Standard Error t Stat P-value Intercept: 39.222 5.942 6.600 0.000 x: -0.556 0.161 -3.448 0.009 e. 59.783% of the variability in Y is explained by the variability in X. a. What has been the sample size for the above? b. Perform a t test and determine whether or not X and Y are related. Let Î± = 0.05. c. Perform an F test and determine whether or not X and Y are related. Let Î± = 0.05. d. Compute the coefficient of determination. e. Interpret the meaning of the value of the coefficient of determination that you found in d. Be very specific.

          Summary Output
Regression Statistics 
Multiple R: 0.7732
R Square: 0.5978
Adjusted R Square: 0.5476
Standard Error: 3.0414
Observations: 10

ANOVA 
df  SS  MS  F  Significance F
Regression: 1  110  110  11.892  0.009
Residual: 8  74  9.25 
Total: 9  184 

Coefficients Standard Error  t Stat  P-value 
Intercept: 39.222  5.942  6.600  0.000 
x: -0.556  0.161  -3.448  0.009 

e. 59.783% of the variability in Y is explained by the variability in X.

a. What has been the sample size for the above?
b. Perform a t test and determine whether or not X and Y are related. Let Î± = 0.05.
c. Perform an F test and determine whether or not X and Y are related. Let Î± = 0.05.
d. Compute the coefficient of determination.
e. Interpret the meaning of the value of the coefficient of determination that you found in d. Be very specific.

Added by Joshua F.

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