indicator for gender (=1 if male, =0 if female). Your data set has 200 observations. donation = 1.57 + 0.12age + 0.08age – 0.43 gender + 0.07 (gender * age), R = 0.33 (0.15)* (0.67) (0.11) (0.01) (0.06) donation = 1.59 – (0.68) 0.46 gender, R2 = 0.30 (0.17) 1. Assuming homoscedastic errors, test the hypothesis that age affects charitable donations at the 5% level. 2. Interpret the coefficient on gender interacted with age. 3. How would you test that the difference in giving between men and women is independent of age? If you can run the test, run it. If you cannot, explain what you need.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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indicator for gender (=1 if male, =0 if female). Your data set has 200 observations.
donation = 1.57 + 0.12age + 0.08age? – 0.43 gender + 0.07(gender * age), R? = 0.33
(0.15)*
(0.67)
(0.11)
(0.01)
(0.06)
donation = 1.59
(0.68)
0.46 gender, R² = 0.30
(0.17)
1. Assuming homoscedastic errors, test the hypothesis that age affects charitable donations at
the 5% level.
2. Interpret the coefficient on gender interacted with age.
3. How would you test that the difference in giving between men and women is independent of
age? If you can run the test, run it. If you cannot, explain what you need.
Transcribed Image Text:indicator for gender (=1 if male, =0 if female). Your data set has 200 observations. donation = 1.57 + 0.12age + 0.08age? – 0.43 gender + 0.07(gender * age), R? = 0.33 (0.15)* (0.67) (0.11) (0.01) (0.06) donation = 1.59 (0.68) 0.46 gender, R² = 0.30 (0.17) 1. Assuming homoscedastic errors, test the hypothesis that age affects charitable donations at the 5% level. 2. Interpret the coefficient on gender interacted with age. 3. How would you test that the difference in giving between men and women is independent of age? If you can run the test, run it. If you cannot, explain what you need.
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