Suggest a least squares regression analysis of data to fit linear relationship between X and Y.
x 2.7 3 2.3 2.8 2.5 2.15 2.7 3.2 2.3 3.8 2.3 2.2
y 580 600 580 590 550 515 610 608 600 658 530 515
a) State the hypotheses if it is planned to test hypothesis that population linear correlation coefficient is zero against that it isn't at 5% level of significance.
(b) Obtain the value of test statistic for the test
(c) Obtain critical value(s) for this test
(d) Determine the null and alternative hypothesis for the test, and your decision regarding the null hypothesis