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I am unsure how to find the value of the F-Test stats for testing, and what my d

ID: 3218639 • Letter: I

Question

I am unsure how to find the value of the F-Test stats for testing, and what my decision should be, to accept or reject the null.....

Using the California Test scores (cascbool.dta data set (discussed in the class,Ilook at the relationship between test-score, student-teacher ratio, and average income. The STATA output below shows the estimation of the following regression test scr) o B1 (str) B2in(avginc) u gen in testscr in (testscr) gen in avginceln (avginc) reg ln tests str ln avginc cr Source I SS df MS Number of obs 420 417 Model I 200636862 2 1003184 31 Prob E 0.0000 Residual 1545 5584 17 00370 638 R-squared 0.5649 Adj R-squared Total I 355192702 419 000847715 Root MSE 01925 ln test scr I Coef Std Err. 95% Conf. Interval] P It str 0013194 0005063 0.009 0023147 0003241 ln avginc 0542123 0024413 0590111 22.21 0.000 0494134 cons i 6.365454 0128777 494.30 0.000 6.340141 6.3907 67 What is the value of the F test statistics for testing HI: Not all slopes are simultaneously zero If the critical value is FC2, 4170 7.52, what's your decision?

Explanation / Answer

From STATA output table,

Fcal = 0.100318431 / 0.000370638

= 270.66

Fcritical = 7.52

If Fcal > Fcritical then Reject H0 i.e. reject the null hypothesis.

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