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This residual plot indicates that a linear model ________.

is appropriate for this data

has r near 1

is not appropriate for this data

The residual plot shown in the image indicates that a linear model **is not appropriate for this data**.

Here's why:

- The residuals exhibit a clear pattern, which suggests that the relationship between the independent and dependent variables is not linear. A good residual plot for a linear model should display random scatter without any distinct patterns. The "U" shape or systematic structure in the residuals indicates that a different model (perhaps quadratic or another non-linear model) would better fit the data.

Would you like more details on interpreting residual plots or have any other questions?

Here are 5 related questions you might explore:
1. What are the characteristics of a good residual plot for a linear model?
2. How can you determine if a quadratic model is more appropriate than a linear model?
3. What are the implications of using a linear model when it's not appropriate?
4. How do residuals help in diagnosing model fit in regression analysis?
5. What other types of patterns in residual plots suggest specific types of non-linearity?

**Tip:** Always check the residual plot when performing regression analysis. It’s a key diagnostic tool to ensure that the chosen model fits the data well.

This residual plot indicates that a linear model ________.

This article explains how to interpret residual plots in linear regression. The example provided shows a clear pattern in the residuals, indicating that a linear model is not appropriate for the data. Learn why residuals should be randomly scattered and how to determine when a non-linear model might be a better fit. Suitable for Grades 10-12.

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