Ten Pairs of Points Yielded a Correlation Coefficient $r$ Of $0.79$ If

question 3

Multiple Choice

Ten pairs of points yielded a correlation coefficient $r$ of $0.79$ . If $\alpha = 0.05$ , which of the following statements is correct if $\mathrm { H } _ { 0 } : \rho = 0$ ? (Do not calculate a $t$ -value.)

• A) Because \(0.79\) is greater than \(0.632\), the null hypothesis is not rejected.
• B) Because \(0.79\) is greater than \(0.632\), the null hypothesis is rejected.
• C) Because \(0.79\) is greater than \(0.602\), the null hypothesis is not rejected.
• D) There is no correlation between the variables.

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Definitions:

Estimates

Quantitative calculations or judgements regarding future events or outcomes.

Categorical Variables

Variables that represent categories and can take on values that are names or labels.

Dummy Variables

In statistical modeling, these are artificial variables created to represent an attribute with two or more distinct categories or levels.

Regression Analysis

A statistical method used to explore the relationship between a dependent variable and one or more independent variables.