The problem is about the effect of removing the point $(10, 2)$ from a dataset on the slope and y-intercept of the line of best fit. The graph shows a set of data and its line of best fit. The question asks how removing the point (10, 2) would affect the slope and the y-intercept of the line of best fit.

1. Problem Description

The problem is about the effect of removing the point $(10, 2)$ from a dataset on the slope and y-intercept of the line of best fit. The graph shows a set of data and its line of best fit. The question asks how removing the point (10, 2) would affect the slope and the y-intercept of the line of best fit.

2. Solution Steps

Looking at the graph, the point $(10, 2)$ is below the line of best fit and appears to be somewhat of an outlier. Its presence pulls the line of best fit downwards slightly.

Removing this point would cause the line of best fit to rotate slightly upwards.

Impact on slope:

The slope of the line represents the rate of change of y with respect to x. Since the line rotates upwards, the slope would increase.

Impact on y-intercept:

The y-intercept is the value of y when x is zero. Since the line rotates upwards and pivots roughly around the center of the data, the y-intercept would also increase.

3. Final Answer

If the point (10, 2) were removed from the data set, the slope of the line of best fit would increase and the y-intercept would increase.