. Look at the plots below. Provide detailed substantive interpretation of the relation among X, Y and Z. Interpret statistical significance of the results. Is the marginal effect of X statistically significant? Is the marginal effect of Y statistically significant?

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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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100%
10
5
Problem 1: Warm up
a. Look at the plots below. Provide detailed substantive interpretation of the relation among X, Y and
Z. Interpret statistical significance of the results. Is the marginal effect of X statistically gnificant?
Is the marginal effect of Y statistically significant?
NO
-5
X
-10
hw2.pdf - Adobe Reader
-5.0 -2.5 0.0 2.5 6.0
X
1.0-
0.5
30.0
-0.5
Marginal effect of X on Z
Tools
0.70 0.75 080 0.85
0.90
Transcribed Image Text:100% 10 5 Problem 1: Warm up a. Look at the plots below. Provide detailed substantive interpretation of the relation among X, Y and Z. Interpret statistical significance of the results. Is the marginal effect of X statistically gnificant? Is the marginal effect of Y statistically significant? NO -5 X -10 hw2.pdf - Adobe Reader -5.0 -2.5 0.0 2.5 6.0 X 1.0- 0.5 30.0 -0.5 Marginal effect of X on Z Tools 0.70 0.75 080 0.85 0.90
100%
9
b. Suppose that in addition to the plots above, you also received the following regression table. Interpret
the table in detail. Is the coefficient on Y statistically significant? Is the effect of Y statistically
significant? What is the "best" model? What do R-squared suggest?
D
hw2 pdf Adobe Reader
65
X
Y
X*Y
W
Constant
Observations
R²
Adjusted R2-
Note:
Table 1: Models comparison
(1)
2.099***
(0.120)
Dependent variable:
0.060
(0.450)
-2.555***
(0.159)
0.208
(0.339)
500
0.395
0.391
Z
(2)
0.629***
(0.097)
0.272
(0.610)
0.023
(0.071)
0.071
(0.442)
(3)
2.098***
(0.120)
0.221
(0.494)
-2.558***
(0.159)
0.046
(0.058)
0.118
(0.358)
Tools
500
500
0.079
0.396
0.074
0.391
*p<0.1; **p<0,05; ***p<0.01
Transcribed Image Text:100% 9 b. Suppose that in addition to the plots above, you also received the following regression table. Interpret the table in detail. Is the coefficient on Y statistically significant? Is the effect of Y statistically significant? What is the "best" model? What do R-squared suggest? D hw2 pdf Adobe Reader 65 X Y X*Y W Constant Observations R² Adjusted R2- Note: Table 1: Models comparison (1) 2.099*** (0.120) Dependent variable: 0.060 (0.450) -2.555*** (0.159) 0.208 (0.339) 500 0.395 0.391 Z (2) 0.629*** (0.097) 0.272 (0.610) 0.023 (0.071) 0.071 (0.442) (3) 2.098*** (0.120) 0.221 (0.494) -2.558*** (0.159) 0.046 (0.058) 0.118 (0.358) Tools 500 500 0.079 0.396 0.074 0.391 *p<0.1; **p<0,05; ***p<0.01
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