Question

Q2. From a set of pairs of observations of the variables x and y, it is found that the regression line y on x passes through the point (0, 1.8). If the means of the x and y values are 5.0 and 8.3 respectively. Find the equation of the regression line of y on x in the form = . Answer: = 1.8 1.3�

Answer 1

To find the equation of the regression line, we can use the y-intercept b, which is given as 1.8, and calculate the slope m by using the means of x and y, resulting in the line ŷ = 1.8 + 1.3x.

Step-by-step explanation:

The question is about finding the equation of the regression line of y on x, given that the line passes through the point (0, 1.8) and the means of the variables x and y are 5.0 and 8.3, respectively. The general form of a regression line is y = mx + b, where m is the slope, and b is the y-intercept.

Since the line passes through (0, 1.8), the y-intercept b is 1.8. To find the slope m, we use the fact that the regression line also passes through the mean values (5.0, 8.3), which gives us the slope m = (8.3 - 1.8) / (5.0 - 0)

= 6.5 / 5.0

= 1.3.

Hence, the equation of the regression line is ŷ = 1.8 + 1.3x.