Question

Charlie used a regression calculator to generate the equation f(x) = –0.15x + 20.1 for the ordered pairs (2, 15), (4, 21), (6, 26), (8, 20), and (10, 14).

Is a linear representation the best way to represent the data? If it is, explain why. If not, explain why and suggest a better alternative.

no a linear representation is not the best way to represent the data.
because the yvalue rises then fall and a linear function isn't the best fit. quadractic function would be the best fit to answer this correctly
Sample Response: The r-value for the linear function related to the ordered pairs is very close to zero, so it is not a good representation of the data. A quadratic model would better represent the data because there is a turning point within the data set. The data increases then decreases, which is what the graph of a quadratic does.

What did you include in your response? Check all that apply.

The linear function does not represent the data well.
The r-value for the linear model is close to zero.
The graph increases then decreases, or has a turning point.
A quadratic model better represents the data

Answer 1

You included:
- The linear function does not represent the data well.
- The graph increases then decreases, or has a turning point.
- A quadratic model better represents the data.

You did not include:
- The r-value for the linear model is close to zero.