Question

A set of data points has a line of best fit of y = 2.5x - 1.5. What is the residual for the point (2,5)?

a. 6
b. 8.5
c. -1
d. -3.5

Answer 1

The residual for the point (2,5) on the line of best fit y = 2.5x - 1.5 is 0.5.

Step-by-step explanation:

To find the residual for the point (2,5) on the line of best fit y = 2.5x - 1.5, we need to substitute the x and y values into the equation and calculate the difference between the predicted y value and the actual y value.

Substituting x = 2 into the equation, we get y = 2.5(2) - 1.5 = 4.5. The actual y value is 5. Therefore, the residual is 5 - 4.5 = 0.5.

Therefore, the correct answer is not provided in the options given. The residual for the point (2,5) is 0.5.