Statistics & Probability Flashcards: Evaluate Model Fit With Residuals

Study Evaluate Model Fit With Residuals in Statistics & Probability with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

Identify the residual if $y=7$ and $\hat{y}=10$ .

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ANSWER

$-3$ . Calculate $7-10=-3$ since residual equals observed minus predicted.

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Practice questions

1 of 41Practice questions for this set

A meteorologist fit the linear model

\hat{y}=12+0.6x

to predict afternoon temperature (y, in °C) from morning temperature (x, in °C). The residuals show this pattern: For small x values, residuals are mostly positive; for medium x values, residuals are near 0; for large x values, residuals are mostly negative. What does the residual pattern suggest about the model choice?

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