3. Use the ANOVA portion of the printout shown below to answer the following que

Question

3. Use the ANOVA portion of the printout shown below to answer the following questions:

a. The amount of variation in y explained by the regression is?

b. The amount of variation in y that is not explained by the regression is?

c. The total amount of variation in y is?

Regression Analysis The regression equation is STRENGTH 0.0 10.5 TEHPTIME Predictor Coef StDev 29.36 Constant 0.02 10.507 TEMPTIME 3.496 S 14.02 Analysis or Variance Source SS Regression. 1574.6 Error 3352.0 Total 2.04 0.075 2.01. 0.017 9.02 0.017 196.8

Explanation / Answer

Answer to the question is as follows:

Everything is derived out of the table above:

a.53.04% . Look at the Rsquare. This is exactly the definiiton of the varinace in y explanation

b. 1-.53.04% = 46.96% is not explained by the variables.

c. The total amount of variation is 3352 or SST ( total sum of squares) -

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