- llansactional Records Access Clearinghouse at Syracuse University reported d cent of the returns that were audited for 20 selected IRS districts. Adjusted Gross Income ($) District Percent Audited Los Angeles 36,664 1.3 Sacramento 38,845 1.1 Atlanta 34,886 1.1 Boise 32,512 1.1 Dallas 34,531 1.0 Providence 35,995 1.0 San Jose 37,799 0.9 Cheyenne 33,876 0.9 Fargo 30,513 0.9 New Orleans 30,174 0.9 Oklahoma City 30,060 0.8 Houston 37,153 0.8 Portland 34,918 0.7 Phoenix 33,291 0.7 Augusta 31,504 0.7 Albuquerque 29,199 0.6 Greensboro 33,072 0.6 Columbia 30,859 0.5 Nashville 32,566 0.5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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(a) Develop the estimated regression equation that could be used to predict the percent audited given the average adjusted gross income reported (in dollars). (Round your value for the y-intercept to three decimal places and your value for the slope to six decimal places.)
(b) At the 0.05 level of significance, determine whether the adjusted gross income (in dollars) and the percent audited are related. (Use the F test.)
State the null and alternative hypotheses.
O H,i A, 0
O H: B 20
O H: P=0
0+ °g:H
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
pvalue =
State your condlusion.
O Reject H. We cannot condude that the relationship between the adjusted gross income (in dollars) and the percent audited is significant.
O Do not reject H. We condlude that the relationship between the adjusted gross income (in dollars) and the percent audited is significant.
O Reject H. We conclude that the relationship between the adjusted gross income (in dollars) and the percent audited is significant.
O Do not reject H. We cannot condude that the relationship between the adjusted gross income (in dollars) and the percent audited is significant.
(c) Did the estimated regression equation provide a good fit? Explain. (Round your answer to three decimal places.)
Since 7 =
is
Select-
the estimated regression equation -Select=
Va good fit.
(d) Use the estimated regression equation developed in part (a) to calculate a 95% confidence interval for the expected percent audited for districts with an average adjusted gross income of $36,000. (Round your answers to two decimal place)
% to
%
Transcribed Image Text:(a) Develop the estimated regression equation that could be used to predict the percent audited given the average adjusted gross income reported (in dollars). (Round your value for the y-intercept to three decimal places and your value for the slope to six decimal places.) (b) At the 0.05 level of significance, determine whether the adjusted gross income (in dollars) and the percent audited are related. (Use the F test.) State the null and alternative hypotheses. O H,i A, 0 O H: B 20 O H: P=0 0+ °g:H Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) pvalue = State your condlusion. O Reject H. We cannot condude that the relationship between the adjusted gross income (in dollars) and the percent audited is significant. O Do not reject H. We condlude that the relationship between the adjusted gross income (in dollars) and the percent audited is significant. O Reject H. We conclude that the relationship between the adjusted gross income (in dollars) and the percent audited is significant. O Do not reject H. We cannot condude that the relationship between the adjusted gross income (in dollars) and the percent audited is significant. (c) Did the estimated regression equation provide a good fit? Explain. (Round your answer to three decimal places.) Since 7 = is Select- the estimated regression equation -Select= Va good fit. (d) Use the estimated regression equation developed in part (a) to calculate a 95% confidence interval for the expected percent audited for districts with an average adjusted gross income of $36,000. (Round your answers to two decimal place) % to %
ne Transactional Records Access Clearinghouse at Syracuse University reported data showing the odds of an Internal Revenue Service audit. The following table shows the average adjusted gross income reported (in dollars) and the
ercent of the returns that were audited for 20 selected IRS districts.
Adjusted
Gross Income ($)
Percent
District
Audīted
Los Angeles
36,664
1.3
Sacramento
38,845
1.1
Atlanta
34,886
1.1
Boise
32,512
1.1
Dallas
34,531
1.0
Providence
35,995
1.0
San Jose
37,799
0.9
Cheyenne
33,876
0.9
Fargo
30,513
0.9
New Orleans
30,174
0.9
Oklahoma City
30,060
0.8
Houston
37,153
0.8
Portland
34,918
0.7
Phoenix
33,291
0.7
Augusta
31,504
0.7
Albuquerque
29,199
0.6
Greensboro
33,072
0.6
Columbia
30,859
0.5
Nashville
32,566
0.5
Buffalo
34,296
0.5
Transcribed Image Text:ne 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 (in dollars) and the ercent of the returns that were audited for 20 selected IRS districts. Adjusted Gross Income ($) Percent District Audīted Los Angeles 36,664 1.3 Sacramento 38,845 1.1 Atlanta 34,886 1.1 Boise 32,512 1.1 Dallas 34,531 1.0 Providence 35,995 1.0 San Jose 37,799 0.9 Cheyenne 33,876 0.9 Fargo 30,513 0.9 New Orleans 30,174 0.9 Oklahoma City 30,060 0.8 Houston 37,153 0.8 Portland 34,918 0.7 Phoenix 33,291 0.7 Augusta 31,504 0.7 Albuquerque 29,199 0.6 Greensboro 33,072 0.6 Columbia 30,859 0.5 Nashville 32,566 0.5 Buffalo 34,296 0.5
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