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1.) The data below are the number of absences and the final grades of 9 randomly

ID: 3359067 • Letter: 1

Question

1.) The data below are the number of absences and the final grades of 9 randomly chosen students from a statistics class.

Find the sample correlation coefficient r. Which of the following is right choice.

A.) .6255

   

B.)-.9908

   

C.).5000

   

D.).9908

   

E.)-.6255

  

A.) -19.35

   

B.) 19.35

   

C.) -.9908

   

D.) 0

   

E.) 2.5719

3.)

Find the rejection region at = .02 significance level and state your decision. Which is right choice.

  

A.)Rejection region: t < 2.998 or t > 2.998; Decision: Reject

   

B.) Rejection region: t < 2.998; Decision: Do not reject

   

C.)Rejection region: t < 2.998 or t > 2.998; Decision: Do not reject

   

D.)Rejection region: t < 3.499 or t > 3.499; Decision: Reject

   

E.)Rejection region: t < 3.499 or t > 2.998; Decision: Do not reject

Number of absences, x 0 3 6 4 9 2 15 8 5 Final grade, y 98 86 80 82 71 92 55 76 82

Explanation / Answer

The excel output would be

a) Correlation Coefficient = -0.9908. Option B is Correct

Q2) Option A is Correct. It is -19.35

Q3) Option A is Correct

SUMMARY OUTPUT Regression Statistics Multiple R 0.990783 R Square 0.981651 Adjusted R Square 0.979029 Standard Error 1.798217 Observations 9 ANOVA df SS MS F Significance F Regression 1 1210.92 1210.92 374.4823 2.45E-07 Residual 7 22.6351 3.233585 Total 8 1233.556 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 96.13928 1.017756 94.46197 3.93E-12 93.73266 98.54589 93.73266 98.54589 X Variable 1 -2.75487 0.142359 -19.3515 2.45E-07 -3.0915 -2.41825 -3.0915 -2.41825