Question

Jason found the trend line y=6.6x+13.4 for a dataset. One of the points in the dataset is (4,43.6). Which of the following is an accurate conclusion that Jason can make about the trend line? (1 point)
Responses

The data point (4,43.6) is 297.16 units below the trend line.
The data point left parenthesis 4 comma 43.6 right parenthesis is 297.16 units below the trend line.

The residual of the data point (4,43.6) is −354.4.
The residual of the data point left parenthesis 4 comma 43.6 right parenthesis is negative 354.4 .

The residual of the data point (4,43.6) is −3.8.
The residual of the data point left parenthesis 4 comma 43.6 right parenthesis is negative 3.8 .

The data point (4,43.6) is 3.8 units above the trend line.

Answer 1

Predicted y at x=4 is 6.6(4)+13.4 = 39.8. The residual = observed − predicted = 43.6 − 39.8 = 3.8, so the point is 3.8 units above the trend line.