Suppose You Will Perform a Test to Determine Whether There $\alpha$

question 30

Multiple Choice

Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear
correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance
level $\alpha$
-Six pairs of data yield $r = 0.444$ and the regression equation $\hat { y } = 5 x + 2 .$ Also, $\bar { y } = 18.3$ . What is the best predicted value of $y$ for $x = 5$ ?

• A) \(93.5\)
• B) \(4.22\)
• C) 27
• D) \(18.3\)

---

Definitions:

Average

A statistical measure representing the central tendency or typical value of a set of numbers, calculated as the sum of the values divided by the number of values.

Correlation Coefficients

Statistical measures that describe the direction and degree of relationship between two or more variables.

Relationship

A connection, association, or involvement between two or more entities.

Variables

Elements, features, or factors that are likely to vary or change within a study, experiment, or any form of research.