Problem- The Transactional Records Access Clearinghouse at Syracuse University r

Question

Problem- The Transactional Records Access Clearinghouse at Syracuse University reported data showing the odds of an internal revenue Service audit. The following Table shows the average adjusted gross income reported and the percent of the returns that were audited for a portion of the 20 selected IRS districts: A simple regression analysis was performed with the following results: a. State the estimated simple regression equation. b. Is there a significant relationship between Audit percentage and Income – Use a significance level of 5% and support your answer? c. What is the coefficient of determination and interpret it for this problem. d. What is the Mean Square Error (MSE) for this problem? e. What is the F statistic and p-value for this problem?

Explanation / Answer

d) MSE = 0.04358

e) F = 4.99013

p-value = 0.038419

SuMMARY OUTPUT Regression Statistics Multiple R 0.465892189 R Square 0.217055532 Adjusted R Square 0.173558617 Standard Error 0.208767595 Observations 20 ANOVA df SS MS F Significance F Regression 1 0.217489643 0.217489643 4.990136258 0.038419131 Residual 18 0.784510357 0.043583909 Total 19 1.002 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept -0.470953657 0.584246837 -0.806086789 0.430714269 -1.69841071 0.7565034 -1.698410713 0.7565034 X Variable 1 3.86778E-05 1.73143E-05 2.233861289 0.038419131 2.30175E-06 7.50539E-05 2.30175E-06 7.50539E-05 Ans a): y = -0.470953657 + 0.0000386778(x) Ans b): The relationship is significant becouse p-value=0.0384 is less than 0.05 Ans c): R Square = 0.217055532 R Square at 21.7% is not a good fit

d) MSE = 0.04358

e) F = 4.99013

p-value = 0.038419

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.