Question

Approximate the data using the line y = 0.25x + 3. Find the data point that has the residual with the greatest absolute value. Give that data point and its associated residual. Data point: (20, 6); Residual = -2.00 Data point: (15, 5); Residual = 6.75 Data point: (5, 3); Residual = -1.25 Data point: (10, 10); Residual = 4.50

Answer 1

Data Point: (10,10); Residual = 4.50

Answer 2

Solution: We are given data points and associated residuals:

Data Point Residual Absolute value(Residual)

(20,6) -2.00 2.00

(15,5) 6.75 6.75

(5,3) -1.25 1.25

(10,10) 4.50 4.50

From the above absolute value(Residual) column, we clearly see the data point (15,5) has the residual with greatest absolute value of 6.75.

Therefore, the data point and its associated residual is:

(15,5) and 6.75