Which regression model best fits the data set?

Question

(2, 13),(4, 8),(5, 7. 5),(7, 9),(8, 12)
a. linear
b. quadratic
c. exponential growth
d. exponential decay

Answer 1

To determine the regression model that best fits the data set, we can plot the data points and observe their pattern.

Based on the given data set, plotting the points (2, 13), (4, 8), (5, 7.5), (7, 9), and (8, 12) on a graph, we get the following points:

(2, 13)
(4, 8)
(5, 7.5)
(7, 9)
(8, 12)

Upon analyzing these points, it is clear that they do not follow a linear pattern (straight line).

If we plot these points on a graph, we can see that a quadratic curve may best fit the data set as it captures the general shape of the points.

Therefore, the regression model that best fits the data set is b. quadratic.