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In the following regression, X= weekly pay, Y= income tax withheld, and n= 35 McDonald's employees. R2 0.202 Std. Error 6.816 35 ANOVA table
In the following regression, X= weekly pay, Y= income tax withheld, and n= 35 McDonald's employees. R2 0.202 Std. Error 6.816 35 ANOVA table df p-value .0068 Source S5 MS F Regression Residual 387.6959 1 387.6959 8.35 1,533.0614 33 46.4564 Total 1,920.7573 34 Regression output variables confidence interval Lower 95% coefficients 30.7963 std. error t Stat 4.806 p-value Upper 95% Intercept Slope 6.4078 .0000 17.7595 43.8331 0.0343 0.0119 2.889 .0068 0.0101 0.0584 (a) Write the fitted regression equation. (b-1) State the degrees of freedom for a two-tailed test for zero slope, and use Appendix D to find the critical value at a = .05. (Round t.025 to 3 decimal places.) Degrees of freedom t.025 (b-2) Choose the correct option for Hg: B1 = 0 vs H: B1+0. Reject the null hypothesis if tcalc -2.035 Reject the null hypothesis if tcalc> 2.035 or if tcalc (c-1) Calculate t. (Round your answer to 3 decimal places.) tcalc (c-2) We reject the null hypothesis. O Yes O O No (d-1) Find the 95% confidence interval for slope. (Round your answers to 4 decimal places.) Confidence interval is from to (d-2) The confidence interval does not contain zero, which implies O there is no relationship between weekly pay and income tax withheld. O there is a relationship between weekly pay and income tax withheld. (e) Calculate ? and F. (Round your answers to 2 decimal places.) t2 Fcalc (f-1) Calculate R. (Round your answer to 3 decimal places.) R2 (f-2) What is the percentage of variation in income tax withheld explained by weekly pay? (Round your answer to the nearest whole number.) Percentage of variation %
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Ans a Fitted regression equation is y 307963 00343X B1 degree of freedom 33 n 35 df 352 33 t33005 ...Get Instant Access to Expert-Tailored Solutions
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