Statistics Solutions

(Step-by-Step) Given below are seven observations collected in a regression study on two variables, x (independent variable) and y (dependent variable). X Y

Question: Given below are seven observations collected in a regression study on two variables, \(x\) (independent variable) and \(y\) (dependent variable).

X Y
3 11
4 8
7 7
8 6
9 5
8 4
10 1
  1. Develop the least squares estimated regression equation.
  2. At \(95 \%\) confidence, perform a \(t\) test and determine whether or not the slope is significantly different from zero.
  3. Perform an \(F\) test to determine whether or not the model is significant. Let \(\alpha=0.05\).
  4. Compute the coefficient of determination.

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