11) Determine which plot shows the strongest linear correlation. B) A) C) D) 12)

Question

11) Determine which plot shows the strongest linear correlation. B) A) C) D) 12) A 0 05 significance level is baing used to test a corred ation between two variables If thelinear 12) correl ation coeffident r is found to be 0.591 and the critical values arer +0878, what can you cond ude? A) Thereisnot suffidient evidence to support the daim of alinear corred ation betwoan thetwo B) There issuffiaent evidence to support thedaim of aline? coi relation between the two variables variables Use the gi ven data to find the best predicted value of the response variable 13) Eght pairs of data yield -0.708 and the regression equation y 558+ 279x. Also, y 71.125 13) What is the best predicted value of y for x 36? A) 65 84 B) 203 67 C) 71.13 D) 57.80

Explanation / Answer

Qus: 11)

From the above four scatter plot scatter plot no D is showing the good linear correlation between two continuous variables.

It shows the strong negative correlation between variable x and y.

i.e. if x increases then y decrease or y increases then x decrease.

Qus: 12)  

In the correlation significance test, the null hypothesis is,

H0: No correlation between two variables.

Vs,

H1: correlation between two continuous variables.

Decision Rule:

If the p-value is greater than level of significance 0.05 then we accept null hypothesis H0.

in our example given the critical value, we require more information to compute the p-value so there is no strong evidence to say no correlation between two continuous variables.

Qus: 13)

The given fitted regression equation is,

Y^ = 55.8 + 2.79 * X

If X = 36

then Y^ = 55.8 + 2.79 * 3.6

= 65.84

then option A is correct

>>>>>>>>>>>>>> Best Luck >>>>>>>>>>>

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