The value of the linear correlation coefficient, r, and the sample size, n, are

Question

The value of the linear correlation coefficient, r, and the sample size, n, are given. Find the critical values that would be used in a test of the null hypothesis -0 against 0, and determine whether there is significant linear correlation a significance level of 0.05 and assume that the test statistic is r. . Use 65) r 0.781,n-9 A) Critical values: r 0.666, no significant linear correlation B) Critical values: r- +0.666, no significant linear correlation C) Critical values: r 20.666, significant linear correlation D) Critical values: r- -0.666, no significant linear correlation 10

Explanation / Answer

Ans:

64)

slope=r*sy/sx

y-intercept=mean y-b*mean x

Regression equation:

y'=4.88+0.525x

Option B is correct.

65)Given that

n=9

df=9-2=7

calculated r=0.781

critical r value from table(2 tailed) for alpha=0.05 is +/-0.666

As,r=0.781>0.666 ,we reject null hypothesis and there is significant linear correlation.

Option C is correct.

x y 1 0 8 2 3 2 3 4 6 4 5 9 5 12 12 mean 4.8 7.4 std. dev= 4.438 3.715 corr. Coff.,r= 0.628 slope,b= 0.525 intercept,a= 4.88

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