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

Answer 1

Answer:

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.

Step-by-step explanation:

Answer 2

A linear representation of the data is not the best because the data has a turning point. The quadratic model is a better alternative.

What is a Quadratic Model?

A quadratic model can be used to represent a function whose ordered pairs has an r-value that is close to zero and there is a turning point within the data set.

In the ordered pairs given, the data increases and then decreases, meaning it has a turning point. The r-value is also close to zero.

Therefore, a linear representation of the data is not the best way. A quadratic model is better.

Learn more about a quadratic model on:

https://brainly.com/question/1214333

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