Obtain point estimates of the following: (1) the difference in the mean robbery rate in cites that differ by one unit in population density, (2) the mean robbery rate last year in cities with population density X = 60, (3) ε10, (4) σ2.
Hi, I'm having difficulty solving this question. Could someone help me? X is the population density of the city (number of people per unit area), and Y is the robbery rate last year (number of tobberies per 100,000 people). I have:
robbery
V1 V2
1 209 59
2 180 49
3 195 75
4 192 54
5 215 78
6 197 56
7 208 60
8 189 82
9 213 69
10 201 83
11 214 88
12 212 94
13 205 47
14 186 65
15 200 89
16 204 70
> robbery.fit
Call:
lm(formula = v1 ~ v2)
Coefficients:
(Intercept) v2
182.9725 0.2616
> summary(robbery.fit)
Call:
lm(formula = v1 ~ v2)
Residuals:
Min 1Q Median 3Q Max
-15.790 -6.587 1.048 9.433 11.979
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 182.9725 12.7223 14.382 8.87e-10 ***
v2 0.2616 0.1783 1.467 0.164
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
Residual standard error: 10.29 on 14 degrees of freedom
Multiple R-squared: 0.1332, Adjusted R-squared: 0.07132
F-statistic: 2.152 on 1 and 14 DF, p-value: 0.1645