Consider a simple linear regression model. When testing H0: ?1 = 0 against H1: ?
ID: 3438122 • Letter: C
Question
Consider a simple linear regression model. When testing H0: ?1 = 0 against H1: ?1 ? 0, rejecting the null hypothesis means what?
The slope of the regression line is not zero
There is evidence of a relationship between x and y, but it is not linear
The relationship between x and y is an inverse one
There is not a linear relationship between x and y
There is a linear relationship between x and y
The slope of the regression line is not zero
There is evidence of a relationship between x and y, but it is not linear
The relationship between x and y is an inverse one
There is not a linear relationship between x and y
There is a linear relationship between x and y
Explanation / Answer
Note that for linear regression,
Ho: B1 = 0
H1: B1 =/ 0
Thus, rejecting the null hypothesis Ho means accepting B1, that is:
OPTION A: The slope of the regression line is not zero. [ANSWER, A]