Which regression model best fits the data set? (2, 13), (4, 8), (5, 7.5), (7, 9), (8, 12)

a. linear

b. quadratic

c. exponential growth

d. exponential decay

Option B.

Step-by-step explanation:

The given data points are (2, 13), (4, 8), (5, 7.5), (7, 9), (8, 12).

We need to check which regression model best fits the data set.

Plot these data points on a coordinate plane and draw a line or free hand curve such that distance between points and curve or line is minimum.

1. If the data points lie around a straight line, then linear regression model best fits the data set.

2. If the data points lie around a U-shaped curve, then quadratic regression model best fits the data set.

3. If the data points lie around an increasing curve, then exponential growth regression model best fits the data set.

4. If the data points lie around a decreasing curve, then exponential decay regression model best fits the data set.

From the below graph it is clear that the data points lie around a U-shaped curve, so quadratic regression model best fits the data set.

Therefore, the correct option is B.

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step-by-step explanation:

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