Question

A two-mean regression line of the points (15.5,198.75) and (18.5,262.5), could you help me state on how the two mean regression line would be drawn using these points?

Answer 1

How did you get 330.875?

Answer 2

To find the two-point regression line passing through points (15.5,198.75) and (18.5,262.5), we can use the formula for the equation of a line:

y = mx + b

where m is the slope of the line and b is the y-intercept.

First, calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

m = (262.5 - 198.75) / (18.5 - 15.5)
m = 63.75 / 3
m = 21.25

Next, substitute one of the points into the equation of the line to find the y-intercept (b). Let's use the point (15.5, 198.75):

198.75 = 21.25(15.5) + b
198.75 = 330.875 + b
b = -132.125

Therefore, the equation of the two-point regression line passing through (15.5,198.75) and (18.5,262.5) is:

y = 21.25x - 132.125

To draw the line, plot the two points on a graph and then draw the line that passes through both points with the equation y = 21.25x - 132.125.

Answer 3

Apologies for the error in my previous response. Thank you for pointing it out. Let's correct it:

To find the y-intercept (b) using the point (15.5, 198.75), we can substitute the coordinates into the equation of the line:

198.75 = 21.25(15.5) + b

Now, we calculate the right-hand side of the equation:

21.25(15.5) = 329.375

Now, substitute this value back into the equation:

198.75 = 329.375 + b

Next, solve for b:

b = 198.75 - 329.375
b = -130.625

Therefore, the corrected equation of the two-point regression line passing through (15.5, 198.75) and (18.5, 262.5) is:

y = 21.25x - 130.625

Apologies for the oversight, and thank you for bringing it to my attention.