Question

The coefficient of determination = 0.96 this tells us what about the linear regression model calculated using above dataAnswer Choices:A. The linear regression equation will be a good model used to predict Y- values.B. The linear regression equation will be a poor model used to predict Y- values.C. The linear regression equation will be a good model used to predict X- values. D. The linear regression equation will be a poor model used to predict X-values.

Answer 1

Answer:

The linear regression equation will be a good model used to predict Y- values. (option A)

Step-by-step explanation:

Given:

Table of x and y values

coefficient of determination = 0.96

To find:

What the linear regression model

For a coefficient of determination to be close to 1, it will have a good fit. Coefficient of determination is between 0 and 1. Since 0.96 is close to 1, it will be a good model.

Linear regression model is used to predict the value of a variable based on the value of another.

The model predicts the value of the dependent variable.

For a linear regression model in the form:

`\begin{gathered} \text{y = mX}+\text{ b} \\ y\text{ = dependent variable as it depends on the value of x to get its value} \\ X=\text{ independent variable} \end{gathered}`

Hence, linear regression model is used to predict Y values

The correct option: The linear regression equation will be a good model used to predict Y- values. (option A)