82979_1_637456281290403355_82979

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School

University of Utah *

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2020

Subject

Statistics

Date

Apr 25, 2024

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docx

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4

Uploaded by DoctorPencilDove27 on coursehero.com

(@ Copy and paste the data in Excel and open the data analysis package tab. Select the regression from the dialog box opened and fill the appropriate the Y and X values as HWY MPG and displacements respectively. Select the significance as 005 and select the appropriate range of output. The output of above set of commands would be as follows: SUMMARY OUTPUT Regression Statistics Multiple R 0833339 RSquare 0694453 Adjusted RSquare 0.693464 Standard Error 2221153 Observations 31 ANOVA df 55 Ms F Significance F Regression 13464821 3464.821295 702.3017136 1.51247E-81 Residual 309 1524.458 4933522485 Total 310 4989.28 Coefficientandard Err___t Stat P-value __Lower55% __ Upper95% _Lower95.0% Upper95.0% Intercept 35.39504 0.381833 92.69774263 14721€-227 34.64371796 36.14636056 34.64371796 36.14636056 Displacement -2.88209 0.108758 -26.50097571 151247€-81 -3.096081083 -2.668096663 -3.096081083 -2.668096663 The regression equation is obtained as follows: Y =35.39 - 2.88X The calculated F value is greater than the significance level. Hence, this concludes that the highway and the displacement are indeed related
(b) The data can be entered in Excel. Select the data and go to insert. Select the scatter plot and enter. The following plot would be obtained: The relationship between Displacemnet and Hwy MPG © 5 i - ' i i g= ""b'.'- e %00 in . 215 1Y 10 s 0 0 1 2 s B s . 7 Displacement Comparing it to the options of scatter plot, option three is the correct one. Partb The scatter plot has been constructed as follows: The relationship between Displacemnet and Hwy MPG & 88 dhillme - x == Hwy MPG 8 ows & [ 1 2 3 4 5 6 7 Displacement
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