Consider the following output from a regression analysis 0.98223752 0.96479055 M

Question

Consider the following output from a regression analysis 0.98223752 0.96479055 Multiple FR R Square Adjusted R Square Standard Error Observations 0.95518798 0.23310465 15 MS 5.459428 100.4721 2.82244E-08 0.054338 df Significance F Regression Residual Total 16.37828444 0.597715562 16.976 14 Coefficients Standard Error tStat 3.98076893 1.573044228 0.07321648 0.020889718 0.0323216 0.020895785 0.0038861 0.003833348 -valtte Intercept X1 X2 X3 2.530615 0.027943 3.504905 0.004928 1.5468 0.150182 1.01376 0.332478 The output shows that: the overall model is significant at an alpha level of 0.05 O 95% of the residuals are within 0.2331. The coefficient of multiple determination for this model is 0.9822. All of the above statements are true

Explanation / Answer

1. The estimated p-value from the ANOVA table is 2.82244E-08. It is less than 0.05 level of significance. Hence, the overall model is significant at an alpha level of 0.05.

2. The estimated standard deviation value for the model is 0.2331. Hence, 95% of the residuals are not within plus minus 0.2331.

3. The coefficient of multiple determinants for this model is 0.9648, not 0.9822.

Hence, the correct answer from the list is "the overall model is significant at an alpha level of 0.05."

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