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

Round the answer to the nearest thousandths.

1 answer

First, we need to calculate the predicted value using the equation of the line. If the equation of the line is y = mx + b, where m is the slope and b is the y-intercept, we need to find these values using the given data points.

Let's assume that the equation is in the form y = mx + b. Given that the data point (4, 14.59) lies on the line, we can plug in the values x = 4 and y = 14.59 into the equation:

14.59 = 4m + b

Now, we need another data point to help us solve for m and b. If we don't have any other data points, we can't determine an exact equation and consequently can't calculate an accurate residual.

If you have a specified equation of a line, you can apply the formula to calculate the predicted value, which is the y value on the line at x = 4. Then, subtract this predicted value from the actual value (14.59) to find the residual. Round the residual to the nearest thousandth.