THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 71

Multiple Choice

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Consider a random sample of 25 observations of two variables x and y.The following summary statistics are available:
= 43.2,
= 195.6,
= 1357.2,
= 1253.4,and
= 4843.6.
-Which of the following is the slope of the sample regression line?

• A)0.43
• B)54.85
• C)0.978
• D)3.57

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Definitions:

Distributive Property

A property that allows one to multiply a single term by each term within a parenthesis in a sum or difference.

Real Numbers

The set of all rational and irrational numbers, including all numbers that can be written as a decimal.

Associative Property

A mathematical principle stating that the way in which terms are grouped in an operation (addition or multiplication) does not change the result.

Addition

The mathematical operation that combines two or more quantities into a single sum.