Question

On a residual plot points (920, 1.5),(955,-0.5), (969,2), (1002,1), (991,-6), ((945,-9)
How many dots fall above the Line of Best Fit

Answer 1

To determine how many points fall above the line of best fit in the residual plot, we need to evaluate the residual values.

The residual for any point is calculated as the difference between the actual value and the predicted value from the line of best fit. In a residual plot, points above the line of best fit will have positive residuals (greater than 0).

Given your points:

- (920, 1.5): Residual is 1.5 (above the line)
- (955, -0.5): Residual is -0.5 (below the line)
- (969, 2): Residual is 2 (above the line)
- (1002, 1): Residual is 1 (above the line)
- (991, -6): Residual is -6 (below the line)
- (945, -9): Residual is -9 (below the line)

Now we count the points with positive residuals (above the line of best fit):

1. (920, 1.5) - above
2. (955, -0.5) - below
3. (969, 2) - above
4. (1002, 1) - above
5. (991, -6) - below
6. (945, -9) - below

There are **three points** above the line of best fit: (920, 1.5), (969, 2), and (1002, 1).