Question

7. You are testing the null hypothesis that there is no linear relationship between two​ variables, X and Y. From your sample of n=18, you determine that b1=4.4 and Sb1=1.7.

a. What is the value of tSTAT​?

b. At the α=0.05 level of​ significance, what are the critical​ values?

c. Based on your answers to​ (a) and​ (b), what statistical decision should you​ make?

d. Construct a​ 95% confidence interval estimate of the population​ slope, β1.

8. You are testing the null hypothesis that there is no relationship between two​ variables, X and Y. From your sample of n=20, you determine that SSR=60 and SSE=20.

a. What is the value of fSTAT​?

State the hypotheses to test.

b. At the α=0.05 level of​ significance, what is the critical​ value?

c. Based on your answers to​ (a) and​ (b), what statistical decision should you​ make?

d. Compute the correlation coefficient by first computing r2 and assuming that b1 is negative.

r2 = ______

r = ______

e. At the 0.05 level of​ significance, is there a significant correlation between X and​ Y?

Determine the null and alternative hypotheses for this test.

Find the test​ statistic, tSTAT.

Determine the critical values of t.

Is there significant correlation between X and​ Y?

Answer 1

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