Ask a New Question
Menu

Use the image to answer the question.

Four points are plotted on the first quadrant of a coordinate plane. The x-axis ranges from 0 to 10 in increments of 1 and the y-axis ranges from 0 to 17 in increments of 1. A line is drawn that almost passes through all the points.

Find the residual of the data point (2,15.27)
. Round the answer to the nearest thousandths.

(1 point)
The residual of the data point (2,15.27)
is
.
Skip to navigation

1 answer

To find the residual of a data point, you need to determine the difference between the actual y-value of the data point and the predicted y-value from the line of best fit.

  1. Identify the given data point: The point is (2, 15.27).

    • Here, x = 2 and the actual y-value (y_actual) = 15.27.

  2. Find the predicted y-value (y_pred) from the line of best fit at x = 2. Since you mentioned that a line almost passes through all the points, the actual slope and y-intercept of the line are not provided. Thus, to continue, you need to either provide the equation of the line or the predicted y-value for x = 2 based on the plotted line.

  3. Calculate the residual:

    • Residual = y_actual - y_pred.

Once you have the value for y_pred, substitute it into the residual formula to get your result.

If you can provide the predicted y-value (y_pred) from the line of best fit for x = 2, I can help you with the calculation.