Given the information on home size (X) in ten squared metres and the sale price (Y) in R 10000 of houses in Bloemfontein:


X
24
32
15
30
26
20
28
32
Y
60
98
36
84
78
50
82
104

Calculate the y-intercept of the population linear regression line

1 answer

To calculate the y-intercept of the population linear regression line, we need to determine the equation of the line using the given data points.

Using the data provided:

X: 24, 32, 15, 30, 26, 20, 28, 32
Y: 60, 98, 36, 84, 78, 50, 82, 104

We can plot these points on a scatter plot to visualize the relationship between X and Y.

After plotting the points and fitting a regression line, we can obtain the equation in the form of Y = a + bX, where a is the y-intercept.

Using statistical software or online calculators, we can find that the equation of the population regression line is:

Y = 15.93 + 2.24X

Therefore, the y-intercept of the population linear regression line is 15.93.