## Find Confidence Level of Coefficients

Data collected from the state of Florida includes:

y = crime rate = Annual number of crimes in county per 1000 population

x1 = education = Percentage of adults in county with at least a high school education

x2 = urbanization = Percentage in county living in an urban environment

Multivariate regression output from R is given below (note that the numbers are not the same as in the text book):

>summary(fitmc)

Call:

lm(formula = y ~ x1 + x2)

Residuals:

Min 1Q Median 3Q Max

-34.693 -15.742 -6.226 15.812 50.678

Coefficients:

Estimate Std.Error t value Pr(>|t|)

(Intercept) 43.2658 19.8189 xxxxx xxxxx

x1 -0.4027 0.3089 xxxxx xxxxx

x2 0.7006 0.1193 xxxxx xxxxxx

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Residual standard error: 16.00 on 64 degrees of freedom

Multiple R-squared: 0.5866 Adjusted R-squared: 0.4549

F-statistic: 29.21 on 2 and 64 DF, p-value: 1.19e-09

NB: THE NUMBERS IN THIS QUESTION ARE NOT NECESSARILY THE SAME AS IN THE PREVIOUS QUESTION!!!!!!!!!!!!!

Find the lower bound for a 95% confidence interval for the coefficient for urbanization.