Question

Consider the bivariate data:

x : 10 , 12 , 14 , 15 , 16

y : 8 , 7 , 5 , 4 , 1

Formulate the linear regression formula and estimate the value of y when x=5

Answer 1

Let the regression equation be given by

y=mx+c

Here, m represent slope of the regression line and c represent intercept of the regression line.

Here we need to find the value of m and c.

The value of slope is given by

The value of intercept is given by

Here the values are given below

The linear regression equation is given by   

Here, we need to find the value of y for given value of x=5

The value of y is 14.05184

The graph of the regression line is given below