the equation for the line of best fit for a data set is y = 2x + 1.5. if the point (1, 4) is in the data…
the equation for the line of best fit for a data set is y = 2x + 1.5. if the point (1, 4) is in the data set, what is the residual of 1?\n0.5\n3.5\n4.0\n7.5
Answer
Explanation:
Step1: Calculate predicted value
Substitute $x = 1$ into $y = 2x+1.5$. So $y_{predicted}=2\times1 + 1.5=3.5$.
Step2: Calculate residual
Residual formula is $y_{observed}-y_{predicted}$. Given $y_{observed}=4$ and $y_{predicted}=3.5$, then residual $=4 - 3.5=0.5$.
Answer:
0.5