Question

Use the scatterplot below to answer the following question. What are the coordinates of the points that would have a positive residual? Select all that apply.

Responses:
(3.5, 3.9)
(6.5, 3.6)
(4.1, 4.9)
(7, 2.8)
(5, 2.4)
(7.3, 1.9)
(6, 5)
a) (3.5, 3.9), (6.5, 3.6), (4.1, 4.9), (7, 2.8), (5, 2.4), (7.3, 1.9), (6, 5)
b) (3.5, 3.9), (6.5, 3.6), (4.1, 4.9)
c) (7, 2.8), (5, 2.4), (7.3, 1.9), (6, 5)
d) None of the above

Answer 1

To select points with a positive residual from a scatterplot, we need the actual plot or the equation of the best-fit line. Since the question does not provide these, it is impossible to conclusively identify the points with positive residuals.

Step-by-step explanation:

To determine which points have a positive residual, we must first understand what a residual is. A residual is the difference between the observed value and the predicted value given by a regression line, also known as the best-fit line. If the observed value is higher than the predicted value, the residual is positive, indicating that the point lies above the line of best fit.

A scatterplot typically shows a collection of points and a line of best fit, which approximates the trend of the data. A point (x, y) has a positive residual if its actual y-value is greater than the y-value on the line of best fit at the corresponding x-value. Without the scatterplot and regression line provided for this question, we cannot conclusively select the coordinates with positive residuals among the given responses.