X – Y = ( X – ) Y = X – ` Regression coefficient of Y on X is b yx = (< ) (ii) Coefficient of correlation Since the two regression coefficients are positive then the correlation coefficient is also positive and it is given by r = yx xy = . ` r = . Exercise . .
From the data given below: Marks in Economics: Marks in Statistics: Marks in Economics: Marks in Statistics: Find (a) The two regression equations, (b) The coefficient of correlation between marks in Economics and statistics, (c) The mostly likely marks in Statistics when the marks in Economics is . . The heights (in cm.) of a group of fathers and sons are given below: Heights of fathers: Heights of Sons : Find the lines of regression and estimate the height of son when the height of the father is cm. .
The following data give the height in inches ( X ) and the weight in lb. ( Y ) of a random sample of students from a large group of students of age years: Y Estimate weight of the student of a height inches. . Obtain the two regression lines from the following data N = , ∑ X = , ∑ Y = , ∑ X = , ∑ Y = and ∑ XY = .
- - Correlation and Regression analysis . Given the following data, what will be the possible yield when the rainfall is . Details Rainfall Production Mean `` units per acre Standard Deviation `` units per acre Coefficient of correlation between rainfall and production is . .
. The following data relate to