Chegg Untitled document Goog X C https:// docs.google.co EE Apps YouTube G Pirat
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Chegg Untitled document Goog X C https:// docs.google.co EE Apps YouTube G PiratesNet Main Me... Bb Blackboard Learn E Etudes Gateway San Joaquin Delta c... P MyLab & Mastering M Scene Access I Login Watch TV Online. St... D sJDO Student other bookmarks ybarajas1994@gmail.com Untitled document a Sha File Edit View Insert Format Tools Table Add-ons Help All changes saved in Drive Editing Section C: Use the data to answer questions 5-12 on Linear Correlation and Regression 6 7 8 9 10 11 12 14 19 Years of Education CK) DUI Tickets Y) 18 10 14 6 12 2 8 63 1 5. The sample correlation coefficient is r B. 0.81 D. 0.75 Using a 0.05 to test the significance of the correlation coefficient p, the Critical Value of the Pearson Correlation Coefficient is given as 0.666. In questions 6-7, make the correct decision and summarize your result about the claim 6. The correct decision is A. Reject Ho since r 0.666 B. Do not Reject Ho since Irl 0.666 C. Reject Ho since r 0.666 D. Do not Reject Ho since r 0.666 11:12 PM 12/9/2015Explanation / Answer
Let X = years of education.
Y = number of fue tickets.
We have to find sample correlation coefficient (r) between X and Y.
r = SSxy / sqrt(SSx*SSy)
where SSxy = XY - [ (X*Y)/ n ]
SSx = X2 - [(X)2 / n ]
SSy = Y2 - [(Y)2 / n ]
where n is the number of data pairs.
For this we have to make a table of summation as,
SSxy = 685 - [ (96*77) / 9 ] = -136.333
SSx = 1152 - (96^2/9) = 128
SSy = 905 - (77^2/9) = 246.2222
r = -136.333 / sqrt(128*246.2222)
r = -0.76795 = -0.77
option a) is correct.
We are given that alpha = 0.05
critical value = 0.666
Test of the hypothesis is,
H0 : = 0 Vs H1 : 0
we already calculated r = -0.77
Now we have to compare r with critical value.
| r | > critical value
reject H0 at 0.05 significance level.
Conclusion : Population correlaion cofficient differ than 0.
Option a) is correct.
X Y XY X^2 Y^2 6 18 108 36 324 7 10 70 49 100 8 14 112 64 196 9 6 54 81 36 10 12 120 100 144 11 2 22 121 4 12 8 96 144 64 14 6 84 196 36 19 1 19 361 1 96 77 685 1152 905Related Questions
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