A set of data points has a line of best fit of y = –0.2x + 1.7. What is the residual for the point (5, 1)?A.0.3B.–0.3C.0.7D.1.5SUBMITarrow_backPREVIOUS
Question
A set of data points has a line of best fit of y = –0.2x + 1.7. What is the residual for the point (5, 1)?A.0.3B.–0.3C.0.7D.1.5SUBMITarrow_backPREVIOUS
Solution
To find the residual for the point (5, 1), we first need to plug the x-value of the point into the equation for the line of best fit to find the expected y-value.
The equation is y = -0.2x + 1.7. If we plug 5 in for x, we get:
y = -0.2(5) + 1.7 y = -1 + 1.7 y = 0.7
This is the expected y-value for the point (5, 1) according to the line of best fit. The actual y-value for this point is 1.
The residual is the difference between the actual y-value and the expected y-value. So, we subtract the expected y-value from the actual y-value:
Residual = Actual y - Expected y Residual = 1 - 0.7 Residual = 0.3
So, the residual for the point (5, 1) is 0.3. The answer is A. 0.3.
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