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Statistics and Regression Analysis Quiz

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Questions and Answers

What does having an association between segments in a bar graph indicate?

The segments are arranged in ascending order.

The segments are identical in size.

The segments have no numerical significance.

The segments represent different categories or variables. (correct)

What is the role of the explanatory variable in a graph?

To predict changes in the response variable. (correct)

To serve as a constant reference point.

To illustrate the relationship between two unrelated variables.

To represent the outcome metric.

If a correlation coefficient $r = -0.75$ is observed, how can this relationship be characterized?

There is no correlation.

There is a weak negative correlation.

There is a strong positive correlation.

There is a moderate negative correlation. (correct)

Why is the statement 'Causation does not equal correlation' significant in data analysis?

It highlights that one event occurring does not necessarily result in another. Signup and view all the answers

What happens to a linear regression line (LSRL) when an outlier is added?

It may be significantly influenced and possibly skewed. Signup and view all the answers

What can be inferred if a residual plot shows no clear pattern?

The chosen model is likely a good fit for the data. Signup and view all the answers

What does a high R-squared value signify in a regression model?

The model accounts for a high percentage of the variance in the data. Signup and view all the answers

How does removing an outlier affect the least squares regression line (LSRL)?

It will typically lead to a better fit of the regression line. Signup and view all the answers

When an LSRL is used for extrapolation, what should be considered?

Extrapolation should be avoided outside the x-interval of actual data. Signup and view all the answers

What characteristic indicates a poor model using residual plots?

A visible pattern among the residuals. Signup and view all the answers