Consider that a least squares regression line is to be fitted to the data below to determine the linear relationship between X and Y.
X 1 2 3 5 6 8 9 11
Y 3.22 2.33 2.28 1.72 1.63 1.57 1.49 1.45
(a) State the hypotheses if it is planned to test the hypothesis that population linear correlation coefficient is zero against that it is less at 1% level of significance.
(a) State the hypothesis to be tested
(b) Obtain the value of the test statistic for the test
(c) Obtain the critical value(s) for this test
(d) State your decision about the null hypothesis