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Multiple choice questions on Regression analysis

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Fertilizer Yield
0 6
0 9
20 19
20 24
40 32
40 38
60 46
60 50
80 48
80 54
100 52
100 58

When applied a quadratic term on fertilizer and performed the quadratic regression analysis, what is b2?

a) 6.6429
b) 0.8950
c) -0.00407

Is the curvilinear effect significant?

a) Yes
b) No
c) Not enough information to determine

Predict the average yield of tomatoes (in pounds) for a plot that has been fertilized with 70 pounds per 1,000 square feet.

a) 89.393
b) 69.293
c) 49.203

When performed a natural logarithm transformation of the response variable (yield), what is b1?

a) 2.475
b) 0.01855
c) 0.2475

When performed a residual analysis of the results, does the model fit the data adequately?

a) Yes
b) No
c) Not enough information to determine

When performed a square-root transformation of the explanatory variable (fertilizer), what is b1?

a) 4.66613
b) 0.56853
c) 5.06852

Compare this model (square-root) with the natural logarithm model, which model would you choose?

a) Logarithm model
b) Square-root model
c) No difference in their results

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Solution Summary

Step by step method for regression analysis is discussed here. Regression coefficients, coefficient of determination, scatter diagram and significance of regression model are explained in the solution.