In a Simple Linear Regression Problem, the Following Statistics Are $\sum ( x - \bar { x } ) ( y - \bar { y } ) = 2250 , s _ { x } = 10 , \sum x = 50 , \sum y = 75$

question 235

Multiple Choice

In a simple linear regression problem, the following statistics are calculated from a sample of 10 observations: $\sum ( x - \bar { x } ) ( y - \bar { y } ) = 2250 , s _ { x } = 10 , \sum x = 50 , \sum y = 75$ . The least squares estimates of the slope and y-intercept are, respectively,

• A)1.5 and 0.5
• B)2.5 and 1.5
• C)1.5 and 2.5
• D)2.5 and -5.0

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Definitions:

Multiple Regression Model

A statistical method that explains the relationship between one dependent variable and two or more independent variables.

Dependent Variable

A variable in an experiment or study that is expected to change in response to changes in another variable (the independent variable).

Holding Constant

Holding constant is a method used in analysis where certain variables are kept unchanged in order to isolate the effects of other variables.

Independent Variables

Variables in a statistical model that are presumed to influence or cause changes in another variable, without being affected by it.