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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:

  • 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