given the following least squares equation in line y10704207

given the following least squares equation in line: y=-107.04+20.705x

a) if an ordered pair from raw data results in (10,95.01) what is the residual?

b) in this case interept the meaning of the residual?

If x = 10, then as

y^ = -107.04 + 20.705x

y^ = -107.04 + 20.705*(10) = 100.01

Thus, the residual is

Residual = y - y^ = 95.01 - 100.01

residual= -5 [ANSWER, -5]

*************************

The residual here means that the the regression line overestimated the actual value of y by 5 units.