Question 4. Construct a diagram of a scatterplot with a best-fitting regression line (i.e. one that is fitted by eye). Label your axes and indicate which axis is the dependent variable and which axis is the independent variable. In your diagram indicate a residual. Write out a simple linear regression model and describe what each part of the model is (for example what is ??)
use the simplear regression formula as ?i = ? + ??i +
?i
•?i is the value of Y for the ith observation when the predictor
variable X=xi
•? is the population intercept, the mean value of the probability
distribution
of Y when ?" equals zero.
•? is the population slope. Measures change in Y per unit change in
X.
•?i is random or unexplained error associated with the ith
observation.
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