Use the data in the table below to complete parts (a) through (c). x 5 8 8 12 13 16 19 41 y 31 44 26 32 24 22 24 3 LOADING... Click the icon to view the steps for finding influential points. Question content area bottom Part 1 (a) Construct a scatterplot of the data. Choose the correct graph below. A. 0 40 -12 12 x y A scatterplot has a horizontal x-axis labeled from 0 to 40 in increments of 5 and a vertical y-axis labeled from negative 12 to 12 in increments of 4. The following points are plotted: (31, negative 4), (44, 12), (26, negative 6), (32, 3.5), (24, negative 3.5), (22, negative 3), (24, 1.5), (3, 0). All coordinates are approximate. B. 0 40 0 50 x y A scatterplot has a horizontal x-axis labeled from 0 to 40 in increments of 5 and a vertical y-axis labeled from 0 to 50 in increments of 10. The following points are plotted: (31, 5), (44, 8), (26, 8), (32, 12), (24, 13), (22, 16), (24, 19), (3, 41). All coordinates are approximate. C. 0 50 -12 12 x y A scatterplot has a horizontal x-axis labeled from 0 to 50 in increments of 10 and a vertical y-axis labeled from negative 12 to 12 in increments of 4. The following points are plotted: (5, negative 4), (8, 12), (8, negative 6), (12, 3.5), (13, negative 3.5), (16, negative 3), (19, 1.5), (41, 0). All coordinates are approximate. D. 0 50 0 40 x y

steps for Finding Influential Points An influential point is a point in a data set that can greatly affect a regression line. An outlier may or may not be an influential point. To determine if a point is influential, find the regression lines including all the points in the data set, and excluding the possible influential point. If the slope or y-intercept of the regression line shows significant changes, the point can be considered influential. An influential point can be removed from a data set only if there is proper justification