Question

Which model best fits the data table below?

43
33
17
20
54
46
79
33
22
21
56
42
8
39
28
9
Values in the answer choices are rounded appropriately.
y = -0.0007x² + 0.69x + 4.05
y = -35.37 + 18.69 ln(x)
y = 0.63x + 4.95
y = 10.35(1.02)*
Any of these models fits the data table equally well.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine which model best fits the data table, we can calculate the residuals (the differences between the actual data points and the predicted values from each model) and compare the goodness of fit. The model with the smallest sum of squared residuals would be the best fit for the data.

After calculating the sum of squared residuals for each model, we find that the model y = 0.63x + 4.95 has the smallest sum of squared residuals, which indicates that it best fits the data table provided.