Question

# Consider the following linear regression prediction equation: Y = –3 x + 144. What is the...

Consider the following linear regression prediction equation: Y = –3 x + 144. What is the direction of the relationship between these two variables?

 a. Neutral relationship b. Positive relationship c. Negative relationship d. No relationship

#### Homework Answers

Answer #1

Let us compare the given regression equation with the general format of regression equation

Linear regression is of form

Given here is Y = –3 x + 144

Comparing same we get slope value as -3, which means slope is negative

As we know slope and correlation have same sign, which means correlation is also negative

Hence from the given equation we get, there is Negative relationship between these two variables.

So correct answer here is c. Negative relationship

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