Chegg Untitled document Goog X C https docsgoogleco EE Apps

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 12/9/2015

Solution

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	905