The table shows the average weekly wages (in dollars) for stale government emplo

Question

The table shows the average weekly wages (in dollars) for stale government employees and federal government employees for 8 years. The equation of the regression line is y = 1.527x -117.538. Complete parts (a) and (b) below (a) Find the coefficient of determination and interpret the result r^2 = (Round to three decimal places as needed) How can the coefficient of determination be interpreted? The coefficient of determination is the fraction of the variation in average weekly wages for that can be explained by the variation in average weekly wages for and is represented by The remaining fraction of the variation, is unexplained and is due to other factors or to sampling error (b) Find the standard error of estimate s_e and interpret the result s_e = (Round to two decimal places as needed) How can the standard error of estimate be interpreted? The standard error of estimate of the average weekly wage for for average weekly wage for is about s_e dollars.

Explanation / Answer

a) r^2 = 0.954314871

federal ,state , r^2 , 1 -r^2

b)

se = 25.40280394

federal , state

note that the options are not shown, so i am not able to answer few parts

SUMMARY OUTPUT Regression Statistics Multiple R 0.976890409 R Square 0.954314871 Adjusted R Square 0.946700683 Standard Error 25.40280394 Observations 8 ANOVA df SS MS F Significance F Regression 1 80878.18531 80878.18531 125.3337649 3.03221E-05 Residual 6 3871.814689 645.3024482 Total 7 84750 Coefficients Standard Error t Stat P-value Lower 95% Intercept -117.5383307 114.9569101 -1.022455549 0.346008389 -398.8277564 x 1.527199322 0.136414859 11.19525636 3.03221E-05 1.193404186

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