A data set has the following point:
(1,8)(2,7)(3,5)
The slope of the linear regression line is -1.5 Find the y-intercept of the linear regression.
To find the y-intercept of the linear regression line, we can use the slope-intercept form of a linear equation: y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope, and b is the y-intercept.
Given that the slope of the linear regression line is -1.5, we can substitute this value into the equation, along with any point from the data set, to solve for the y-intercept.
Let's use the point (1,8) from the data set:
8 = -1.5(1) + b
Now we can solve for b by isolating it on one side of the equation:
8 = -1.5 + b
b = 8 + 1.5
b = 9.5
Therefore, the y-intercept of the linear regression line is 9.5.