Question 17. A statistician at the Climate Change Institute is investigating the effects of natural disasters on the value of crops damaged in Cheshire. They have collected 20,209 observations and estimated a regression where the crop damage (in £ millions) is the dependent variable and the independent variables are hurricane (equal to 1 if a natural disaster is a hurricane, 0 otherwise) and flood (equal to 1 if a natural disaster is a flood, 0 otherwise). The estimates are shown in Figure 12. Figure 12 reg crop_damage hurricane flood Source Model 7432.69965 Residual Total crop_damage hurricane flood _cons SS D. 0.0507 E. None of the above df 2 3716.34983 150900.193 20206 7.46808833 MS 158332.892 20208 7.83515897 Coef. Std. Err. 3.811986 .1209695 .1965083 .050712 10.4635 .02151 t P> |t| What is the R² statistic of the regression (to four decimal places)? A. 0.0469 B. 0.0493 C. 0.1210 [95% Conf. Interval] 3.574876 .0971086 10.42133 4.049096 .295908 10.50566

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Question 17. A statistician at the Climate Change Institute is investigating the effects of natural disasters
on the value of crops damaged in Cheshire. They have collected 20,209 observations and estimated a
regression where the crop damage (in £ millions) is the dependent variable and the independent variables
are hurricane (equal to 1 if a natural disaster is a hurricane, 0 otherwise) and flood (equal to 1 if a natural
disaster is a flood, 0 otherwise). The estimates are shown in Figure 12.
Figure 12
.reg crop_damage hurricane flood
Source
Model
Residual
Total
crop_damage
hurricane
flood
cons
SS
A. 0.0469
B. 0.0493
C. 0.1210
D. 0.0507
E. None of the above
df
2 3716.34983
7.46808833
MS
7432.69965
150900.193 20206
158332.892 20208 7.83515897
Coef. Std. Err.
3.811986 .1209695
.1965083
.050712
10.4635
.02151
t
P>|t|
What is the R² statistic of the regression (to four decimal places)?
[95% Conf. Interval]
3.574876
.0971086
10.42133
4.049096
.295908
10.50566
Transcribed Image Text:Question 17. A statistician at the Climate Change Institute is investigating the effects of natural disasters on the value of crops damaged in Cheshire. They have collected 20,209 observations and estimated a regression where the crop damage (in £ millions) is the dependent variable and the independent variables are hurricane (equal to 1 if a natural disaster is a hurricane, 0 otherwise) and flood (equal to 1 if a natural disaster is a flood, 0 otherwise). The estimates are shown in Figure 12. Figure 12 .reg crop_damage hurricane flood Source Model Residual Total crop_damage hurricane flood cons SS A. 0.0469 B. 0.0493 C. 0.1210 D. 0.0507 E. None of the above df 2 3716.34983 7.46808833 MS 7432.69965 150900.193 20206 158332.892 20208 7.83515897 Coef. Std. Err. 3.811986 .1209695 .1965083 .050712 10.4635 .02151 t P>|t| What is the R² statistic of the regression (to four decimal places)? [95% Conf. Interval] 3.574876 .0971086 10.42133 4.049096 .295908 10.50566
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