Question

The data shown has a least-squares regression line of y=3.2x−6.4.

Use the drop-down menus to complete the statements and identify the residual of the data point (8,19.2).



Point (8,19.2) is ___ the least-squares regression line.


A. on


B. below


C. above



The value of the least-squares regression line at x=8 is ___.


A. -6.4


B. 0


C. 12


D. 19.2


E. 25.6



So, the residual of the data point (8,19.2) is ____.


A. -19.2


B. -12


C. 0


D. 12


E. 19.2

Answer 1

1) B. on, 2) D. 19.2, 3) C. 0

Explanation:

1) The value of y according to the regression line is:

`y = 3.2\cdot (8) - 6.4`

`y = 19.2`

Hence, the point (8,19.2) is on the least-squares regression line.

2) The value of y according to the regression line is 19.2.

3) The residual is the difference between the value from the regression line and the real value. In this case, the residual value is 0.