Problem on regression analysis


Assignment:

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

Q1.  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

Q2. Is the curvilinear effect significant?
a) Yes
b) No
c) Not enough information to determine

Q3. 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

Q4. When performed a natural logarithm transformation of the response variable (yield), what is b1?
a) 2.475
b) 0.01855
c) 0.2475

Q5. 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

Q6. When performed a square-root transformation of the explanatory variable (fertilizer), what is b1?
a) 4.66613
b) 0.56853
c) 5.06852

Q7. 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

Provide complete and step by step solution for the question and show calculations and use formulas.

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Basic Statistics: Problem on regression analysis
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