Consider the Partially Completed ANOVA Table Showing the Results of a Regression

question 10

Multiple Choice

Consider the partially completed ANOVA table showing the results of a regression analysis shown.
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$\begin{array}{|lcrcl|}\hline \text { Source of } & {\text { Sum of }} & {\text { Mean }} & \\\text { variation } & \text { squares } & \text { df } & \text { squares } & \text { F-ratio } \\\text { Regression } & 305.1 & 1 & ? & ? \\\text { Residual } & 1247.3 & 24 & ? & \\\text { Total } & 1552.4 & 25 & & \\\hline\end{array}$
-What is a weakness of the ANOVA method compared to the t-test method when performing a significance test on the slope of a regression?

• A) The ANOVA method can't test against null hypothesis slopes different from 0.
• B) The ANOVA method can't use data that has outliers.
• C) The ANOVA method is more prone to Type I error for data with high variance.
• D) The ANOVA method is more prone to Type I error for small sample sizes.

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Definitions:

Gomphosis

A type of fibrous joint that anchors a tooth into its socket in the jawbone.

Syndesmosis

A type of fibrous joint in which bones are joined together by connective tissue, allowing for slight movement.

Ball-and-Socket Joint

A highly mobile joint in which a spherical end of one bone fits into a round socket of another, allowing for movement in multiple directions.

Glenohumeral

Referring to the glenohumeral joint, the ball and socket joint where the arm (humerus bone) connects to the shoulder blade (scapula).