QUESTION 1

1. A sample of 5 observations collected in a regression study on two variables, x(independent variable) and y(dependent variable). The sample resulted in the following data.

   summation (x_i-xbar)²=15, summation (x_i-xbar)(y_i-ybar)=60, xbar=3, ybar=10

   Calculate the y-intercept (b_0) of the estimated regression equation.

QUESTION 2

1. A sample of 11 observations collected in a regression study on two variables, x(independent variable) and y(dependent variable). The sample resulted in the following data.

   summation (x_i-xbar)²=22, summation (x_i-xbar)(y_i-ybar)=64, xbar=3, ybar=10

   Calculate the slope of the estimated regression equation.

QUESTION 3

1. A sample of 13 observations collected in a regression study on two variables, x(independent variable) and y(dependent variable). The sample resulted in the following data.

   SSR=74, SST=88

   Calculate an unbiased estimate of the variance of the error term epsilon.

QUESTION 4

1. A sample of 8 observations collected in a regression study on two variables, x(independent variable) and y(dependent variable). The sample resulted in the following data.

   SSR=65, SST=84

   Calculate the F test statistics to determine whether a statistically linear relationship exists between x and y.

QUESTION 5

1. A sample of 5 observations collected in a regression study on two variables, x(independent variable) and y(dependent variable). The sample resulted in the following data.

   SSE=15, SSR=60

   Calculate the coefficient of determination for the developed estimated regression equation.