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2. Multiple restriction test You have just been hired at the Center for Disease Control in Atlanta as an econometrician speciR-squared 0.907063 Adjusted R-squared 0.894390 F(6, 44) 114.9692 P-value(F) 3.18e-25 Log-likelihood -262.5545 Akaike criterioHS -509.713 71.6409 ????? 6.13e-09 College -284.812 290.801 ????? 0.3325 Expenditures 0.114296 0.0192201 ????? 3.48e-07 Age>6

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(a) HS, Expenditures and Age > 65 are statistically significant.

coefficient std. error t-ratio p-value
cons 439.285 172.698 2.54366 0.014559
income 0.005538 0.006808 0.813378 0.420381
poverty 185.02 652.611 0.283507 0.778118
HS -462.801 135.031 -3.42737 0.001333
College -450.472 379.835 -1.18597 0.242
Expenditures 0.100872 0.028404 3.551393 0.000927
Age > 65 4447.17 390.724 11.38187 1.06E-14

(b) 89.439% of the variation in the model is explained.

(c) The hypothesis being tested is:

H0: β1 = β2 = β3 = β4 = β5 = β6 = 0

H1: At least one βi ≠ 0

The p-value is 0.000.

Since the p-value (0.000) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that the model is significant.

(d) The F-test would be used here.

The hypothesis being tested is:

H0: β1 = β2 = 0

H1: At least one βi ≠ 0

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