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Multiple choice questions on Regression analysis

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


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.