a. Fit an appropriate linear model, analyze the fit of your results and discuss

Question

a. Fit an appropriate linear model, analyze the fit of your results and discuss which of the four tests (if any) provides useful insight into the teacher evaluation, verifying with a quantitative analysis. Use ? =0.10

b. Using the data, does a single test (any one of the four) provide a better predictor of evaluation (linear or non-linear) than the multiple regression test? Please back up your answer with quantitative proof.

Eleven student teachers took part in an evaluation program designed to measure teacher effectiveness and determine what factors are important. The response measure was a quantitative evaluation of the teacher. The regressor variables were scores on four standardized tests given to each teacher. The data are as follows 10 69 125 59.00 55.66 569 57 131 31.75 63.97 425 77 141 80.50 45.32 344 81 122 75.00 46.67 324 505 53 152 49.35 43.83 235 77 141 60.75 41.61 501 76 132 1.25 64.57 400 65 157 50.75 42.41 584 97 166 32.25 57.95 434 76 141 54.50 57.90 0 141 49.00 41.21

Explanation / Answer

a) take the difference between x1, x2, x3 & x4. Then squared each difference term to get the total of it. And then put it into the regression formula to get the actual line.

b)using the above data linear predictor of evaluation would be the better choice.

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