Find the residual of the data point (4,14.59)

Question

(
4
,
14.59
)
. Round the answer to the nearest thousandths.

Answer 1

The residual is the difference between the observed y-value and the predicted y-value on the regression line.

To calculate the predicted y-value for the data point (4, 14.59), we need to use the equation of the regression line.

Let's assume the equation of the regression line is:
y = 2x + 5

Predicted y-value:
y = 2(4) + 5
y = 8 + 5
y = 13

Now, we can find the residual:
residual = observed y-value - predicted y-value
residual = 14.59 - 13
residual = 1.59

Therefore, the residual for the data point (4, 14.59) is 1.59.