inferences about the slope
t-TEST
Alternative
Null hypothesis
What is the format of the test statistic?
There is no linear relationship between X and Y so 𝛽 is equal to 0.
There is a linear relationship, so 𝛽 is not equal to 0.
INFERENCES ABOUT THE SLOPE
TEST STATISTIC
Where:
- b1 = regression slope coefficient
- β1 = hypothesised slope
- Sb1 = standard error of slope
- Degrees of freedom = n - 2
What is the standard error format?
inferences about the slope
STANDARD ERROR
11.2 t test
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Transcript
inferences about the slope
t-TEST
Alternative
Null hypothesis
What is the format of the test statistic?
There is no linear relationship between X and Y so 𝛽 is equal to 0.
There is a linear relationship, so 𝛽 is not equal to 0.
INFERENCES ABOUT THE SLOPE
TEST STATISTIC
Where:
What is the standard error format?
inferences about the slope
STANDARD ERROR