Question

Using a regression calculator, what is a good line of best fit for the data?

a) y ≈ 0.29x - 16.14 (including point (86, 2))
b) y ≈ 0.29x - 16.14 (excluding point (86, 2))
c) y ≈ 0.36x - 20.15 (including point (86, 2))
d) y ≈ 0.36x - 20.15 (excluding point (86, 2))

Answer 1

In statistics, the correct line of best fit from the given options would depend on whether the data point (86, 2) is included in the dataset. Options (a) and (c) include the point, while options (b) and (d) exclude it.

Step-by-step explanation:

The question pertains to determining a good line of best fit for a given dataset using a regression calculator. In mathematics, particularly statistics, the line of best fit or least-squares regression line is calculated based on the given data points to make predictions. If the point (86, 2) is part of the data set being considered, then the line of best fit that includes this point would be either option (a) or option (c). Conversely, if this point is an outlier or not part of the dataset being analyzed, the best fit line would be one of the options that exclude this point, option (b) or option (d). The answer also depends on the calculated residual standard deviation and whether the aforementioned point affects it dramatically.