Solve the Problem $\begin{array} { l | r r r r r r } \text { Hours } & 5 & 10 & 4 & 6 & 10 & 9 \\\hline \text { Score } & 64 & 86 & 69 & 86 & 59 & 87\end{array}$

question 31

Multiple Choice

Solve the problem.
-The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test. By using linear regression, the following function is obtained: y=67.3+1.07 x where x is number of hours studied and y is score on the test. Use this function to predict the score on the test of a student who studies 11 hours.
$\begin{array} { l | r r r r r r } \text { Hours } & 5 & 10 & 4 & 6 & 10 & 9 \\\hline \text { Score } & 64 & 86 & 69 & 86 & 59 & 87\end{array}$

• A) 74.1
• B) 79.1
• C) 83.8
• D) 84.1

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Definitions:

Analytical Comparisons

The use of analytical methods to compare different sets of data or variables to understand their relationships or differences.

Unplanned Comparisons

Analyses conducted post hoc or after examining the data, not specified prior to the study, often exploring unexpected patterns or relationships.

Null Hypothesis

A hypothesis that assumes there is no significant difference or effect, serving as a default position in statistical hypothesis testing.

One-way ANOVA

A statistical test used to compare the means of three or more independent groups to see if there is a statistically significant difference among them.