Question

Consider the four points​ (10,10), (20,50),​ (40,20), and​ (50,80). the least squares line is modifyingabove y with caret equals 7.0 plus 1.1 xy=7.0+1.1x. explain what​ "least squares"​ means, using these data as a specific example.

Answer 1

Answer:

The y-intercept of the least squares line is 7 and slope of the line is 1.1. It means x and y are positively related.

Step-by-step explanation:

Least squares : It is an approach to find a regression line such that the sum of squares of residual(difference between estimated point on the line and data point) is minimum.

The given points are (10,10), (20,50),​ (40,20), and​ (50,80).

The least squares line is

$y=7.0+1.1x$             .... (1)

The general form of least squares line is

$y=a+bx$             .... (2)

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

On comparing (1) and (2) we get

$a=7.0,b=1.1$

It means the y-intercept of the least squares line is 7 and slope of the line is 1.1.

Slope is positive it means x and y are positively related.