Inference about the model
1. Conditions for inference
a. The response variable varies according to a
b. The mean response (mu of y) has a straight-
with the explanatory variable x.
c. The standard deviation for the response
variable is the same for all values for x.
a. Estimators for the slope and intercept
b. The standard error of the line is based upon
i. Degree of Freedom is n-2
3. Confidence Interval
a. Estimation for the regression slope.
4. Hypothesis testing for the slope
a. The null hypothesis will always be no relation
b. The alternative will be concerning positive or
negative slope. If the alternative is “not
equal” to zero, then the statement is that
there is some relationship between the x and
the y variable.
A. Confidence interval for average response
1. This is the confidence interval based upon the
least squares regression model.
B. Confidence interval for single observation
1. Prediction for an observation based upon an