Calculate the correlation coefficient and determine the

Question

Problem 1 : If r = 0.4, cov(x, y) = 10, σ_y = 5, find σ_x.

Problem: Calculate the correlation coefficient and determine the regression lines of Y on X and X on Y for the sample

X	8	10	5	8	9
Y	1	3	1	2	3

Problem: Fit a linear equation to the following data

X	2	4	6	8	10
Y	2.3	2.6	2.9	2.10	2.12

Problem: Fit a parabola y = a + bx + cx² using least square method for the following data

X	1.0	1.5	2.0	2.5	3.0	3.5	4.0
Y	1.1	1.3	1.6	2.0	2.7	3.3	4.1