Regression Analysis

From the data given below:

Find

1. The two regression equations,
2. The coefficient of correlation between marks in Economics and Statistics,
3. The mostly likely marks in Statistics when the marks in Economics is 30.

The heights (in cm.) of a group of fathers and sons are given below:

Find the lines of regression and estimate the height of the son when the height of the father is 164 cm.

The following data give the height in inches (X) and the weight in lb. (Y) of a random sample of 10 students from a large group of students of age 17 years:

Estimate weight of the student of a height 69 inches.

Obtain the two regression lines from the following data N = 20, ∑X = 80, ∑Y = 40, ∑X² = 1680, ∑Y² = 320 and ∑XY = 480.

Given the following data, what will be the possible yield when the rainfall is 29.

Coefficient of correlation between rainfall and production is 0.8.

The following data relate to advertisement expenditure (in lakh of rupees) and their corresponding sales (in crores of rupees)

Estimate the sales corresponding to advertising expenditure of ₹ 30 lakh.

You are given the following data:

If the Correlation coefficient between X and Y is 0.66, then find

1. the two regression coefficients,
2. the most likely value of Y when X = 10.

Find the equation of the regression line of Y on X, if the observations (X_i, Y_i) are the following (1, 4) (2, 8) (3, 2) (4, 12) (5, 10) (6, 14) (7, 16) (8, 6) (9, 18).