Question

what is the residual data point for (6, 7.82)

Answer 1

To find the residual data point for a given point (x, y), you need to first calculate the predicted value of y using a regression equation or line of best fit.

If the regression equation is y = mx + b, where m is the slope and b is the y-intercept, you would substitute the x-value of the given point into the equation to find the predicted value of y.

Assuming the regression equation has been previously calculated and is y = 1.235x + 0.23, the predicted value for x = 6 would be:
y = 1.235(6) + 0.23
y = 7.41

To find the residual data point, you subtract the predicted value from the actual value:
Residual = Actual y - Predicted y
Residual = 7.82 - 7.41
Residual = 0.41

Therefore, the residual data point for (6, 7.82) would be (6, 0.41).