some residuals for a scatterplot are given. for x = 3, the residual is -5. for x = 5, the residual is -1…
some residuals for a scatterplot are given. for x = 3, the residual is -5. for x = 5, the residual is -1. for x = 7, the residual is 3. for x = 9, the residual is 0. for which value of x is the data point farthest from the line of best fit? o 3 o 5 o 7 o 9
Answer
Explanation:
Step1: Recall residual concept
The magnitude of the residual represents the distance of a data - point from the line of best fit.
Step2: Compare residual magnitudes
We have residuals: for (x = 3), residual (r_1=- 5) with (|r_1| = 5); for (x = 5), residual (r_2=-1) with (|r_2| = 1); for (x = 7), residual (r_3 = 3) with (|r_3| = 3); for (x = 9), residual (r_4 = 0) with (|r_4| = 0).
Step3: Determine the largest residual
Since (5>3 > 1>0), the largest residual in magnitude is when (x = 3).
Answer:
3