construct a 90% confidence interval of the coefficient for EDU, and interpret this interval

State the critical values to be used to construct this confidence interval.

Construct a 90% confidence interval

Interpret the obtained confidence interval

data used

Residuals:

Min 1Q Median 3Q Max

-3911.2 -1027.5 -160.5 785.9 16244.5

Coefficients:

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

(Intercept) -3588.510 767.608 -4.675 3.20e-06 ***

GEN -1194.448 418.012 -2.857 0.00433 **

EDU 124.479 28.563

EDUxGEN 99.178 36.140

AGE 265.010 32.021 8.276 2.75e-16 ***

AGE2 -2.941 0.360 -8.170 6.42e-16 ***

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Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 1601 on 1518 degrees of freedom

Multiple R-squared: 0.1157, Adjusted R-squared: 0.1128

F-statistic: 39.73 on 5 and 1518 DF, p-value: < 2.2e-16