The complete second-order model that relates E ( y ) to the quantitative variable.

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Answer 1

Question

Chapter 12.8, Problem 12.83LM

a.

To determine

To Write: The complete second-order model that relates E(y) to the quantitative variable.

b.

To determine

To Add: The main effect term for the quantitative variable to the complete second order model.

c.

To determine

To Add: The terms to the model of part (b) to allow for interaction between the quantitative and qualitative independent variables.

d.

To determine

To Explain: Under what circumstances will the response curves of the model have the same shape but different y-intercepts.

e.

To determine

To Explain: Under what circumstances will the response curves of the model be parallel lines?

f.

To determine

To Explain: Under what circumstances will the response curves of the model be identical?

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The accompanying data file contains 40 observations on the response variable y along with the predictor variables x1 and x2. Use the holdout method to compare the predictability of the linear model with the exponential model using the first 30 observations for training and the remaining 10 observations for validation. y x1 x2 533.86 20 30 104.84 15 20 64.89 20 23 159.61 16 21 43.06 13 16 4.27 13 13 736.56 15 30 64.89 20 23 10.64 20 22 76.90 18 20 4.89 11 13 80.90 11 16 224.17 12 19 45.75 16 25 8.13 17 17 319.97 13 30 48.61 19 25 564.67 12 27 111.87 11 25 152.39 13 24 13.34 18 14 28.80 15 22 37.56 13 15 105.62 17 26 44.05 18 21 451.65 17 28 10.34 18 21 32.70 12 13 19.21 14 12 14.02 15 16 2.45 16 12 2.48 20 15 50.34 17 21 29.31 17 20 33.75 16 12 196.28 17 29 943.12 13 30 7.25 10 12 89.73 15 25 32.91 12 18 1. Use the training set to estimate Models 1 and 2. Note: Negative values should be indicated by a…

Second-Hand Smoke: Data Set 12 “Passive and Active Smoke” in Appendix B includes cotinine levels measured in a group of nonsmokers exposed to tobacco smoke (n = 40, Mean = 60.58 ng>mL, s = 138.08 ng>mL) and a group of nonsmokers not exposed to tobacco smoke (n = 40, Mean = 16.35 ng>mL, s = 62.53 ng>mL). Cotinine is a metabolite of nicotine, meaning that when nicotine is absorbed by the body, cotinine is produced. Use a 0.05 significance level to test the claim that nonsmokers exposed to tobacco smoke have a higher mean cotinine level than nonsmokers not exposed to tobacco smoke. Construct the confidence interval appropriate for the hypothesis test in part a. What do you conclude about the effects of second-hand smoke?

Your younger brother, a fourth form practical geography student wishes to test whether there could be some relationship between annual visits to a local market by all residents surrounding that market. After a well-designed field study he obtains the following figures: Number of visits per year 21 13 19 18 17 17 14 20 10 11 Residence distance from market (KM) 1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 From the information above, what is the dependent variable and what is the explanatory variable? Using (i) above, obtain the regression equation of Yi on Xi. Hence, estimate the residence distance from the market (in KM) if the number of visits are 16 visits Sketch your results in (ii) above. What conclusion can you draw from your sketch?

Answer 2

Question

Chapter 12.8, Problem 12.83LM

a.

To determine

To Write: The complete second-order model that relates E(y) to the quantitative variable.

b.

To determine

To Add: The main effect term for the quantitative variable to the complete second order model.

c.

To determine

To Add: The terms to the model of part (b) to allow for interaction between the quantitative and qualitative independent variables.

d.

To determine

To Explain: Under what circumstances will the response curves of the model have the same shape but different y-intercepts.

e.

To determine

To Explain: Under what circumstances will the response curves of the model be parallel lines?

f.

To determine

To Explain: Under what circumstances will the response curves of the model be identical?

Expert Solution & Answer

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Answer 3

Question

Chapter 12.8, Problem 12.83LM

a.

To determine

To Write: The complete second-order model that relates E(y) to the quantitative variable.

b.

To determine

To Add: The main effect term for the quantitative variable to the complete second order model.

c.

To determine

To Add: The terms to the model of part (b) to allow for interaction between the quantitative and qualitative independent variables.

d.

To determine

To Explain: Under what circumstances will the response curves of the model have the same shape but different y-intercepts.

e.

To determine

To Explain: Under what circumstances will the response curves of the model be parallel lines?

f.

To determine

To Explain: Under what circumstances will the response curves of the model be identical?

Expert Solution & Answer

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See solution

Answer 4

Question

Chapter 12.8, Problem 12.83LM

a.

To determine

To Write: The complete second-order model that relates E(y) to the quantitative variable.

b.

To determine

To Add: The main effect term for the quantitative variable to the complete second order model.

c.

To determine

To Add: The terms to the model of part (b) to allow for interaction between the quantitative and qualitative independent variables.

d.

To determine

To Explain: Under what circumstances will the response curves of the model have the same shape but different y-intercepts.

e.

To determine

To Explain: Under what circumstances will the response curves of the model be parallel lines?

f.

To determine

To Explain: Under what circumstances will the response curves of the model be identical?

Expert Solution & Answer

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Answer 5

Chapter 12.8, Problem 12.83LM

a.

To determine

To Write: The complete second-order model that relates E(y) to the quantitative variable.

b.

To determine

To Add: The main effect term for the quantitative variable to the complete second order model.

c.

To determine

To Add: The terms to the model of part (b) to allow for interaction between the quantitative and qualitative independent variables.

d.

To determine

To Explain: Under what circumstances will the response curves of the model have the same shape but different y-intercepts.

e.

To determine

To Explain: Under what circumstances will the response curves of the model be parallel lines?

f.

To determine

To Explain: Under what circumstances will the response curves of the model be identical?

Answer 6

Chapter 12.8, Problem 12.83LM

a.

To determine

To Write: The complete second-order model that relates E(y) to the quantitative variable.

Answer 7

Chapter 12.8, Problem 12.83LM

a.

To determine

To Write: The complete second-order model that relates E(y) to the quantitative variable.

Answer 8

b.

To determine

To Add: The main effect term for the quantitative variable to the complete second order model.

Answer 9

b.

To determine

To Add: The main effect term for the quantitative variable to the complete second order model.

Answer 10

c.

To determine

To Add: The terms to the model of part (b) to allow for interaction between the quantitative and qualitative independent variables.

Answer 11

c.

To determine

To Add: The terms to the model of part (b) to allow for interaction between the quantitative and qualitative independent variables.

Answer 12

d.

To determine

To Explain: Under what circumstances will the response curves of the model have the same shape but different y-intercepts.

Answer 13

d.

To determine

To Explain: Under what circumstances will the response curves of the model have the same shape but different y-intercepts.

Answer 14

e.

To determine

To Explain: Under what circumstances will the response curves of the model be parallel lines?

Answer 15

e.

To determine

To Explain: Under what circumstances will the response curves of the model be parallel lines?

Answer 16

f.

To determine

To Explain: Under what circumstances will the response curves of the model be identical?

Answer 17

f.

To determine

To Explain: Under what circumstances will the response curves of the model be identical?

Answer 18

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Answer 19

Expert Solution & Answer

Answer 20

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Answer 21

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The complete second-order model that relates E ( y ) to the quantitative variable.

Solution Summary: The author explains the complete second-order model that relates E(y) to the quantitative variable.

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To Write: The complete second-order model that relates E(y) to the quantitative variable.

To Add: The main effect term for the quantitative variable to the complete second order model.

To Add: The terms to the model of part (b) to allow for interaction between the quantitative and qualitative independent variables.

To Explain: Under what circumstances will the response curves of the model have the same shape but different y-intercepts.

To Explain: Under what circumstances will the response curves of the model be parallel lines?

To Explain: Under what circumstances will the response curves of the model be identical?

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Chapter 12 Solutions