QUESTION 1

1. A sample of9observationscollectedin 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=14,summation(x_i-xbar)(y_i-ybar)=79,xbar=3,ybar=10 Calculate the y-intercept (b_0) of the estimated regression equation.

QUESTION 2

1. A sample of11observationscollectedin 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=28,summation(x_i-xbar)(y_i-ybar)=70,xbar=3,ybar=10 Calculate the slope of the estimated regression equation.

QUESTION 3

1. A sample of11observationscollectedin a regression study on two variables,x(independent variable) and y(dependent variable).The sample resulted in the following data. SSR=76,SST=87 Calculate an unbiased estimate of thevarianceof the error term epsilon.

QUESTION 4

1. A sample of5observationscollectedin 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 coefficientof determination for the developed estimated regression equation.

QUESTION 5

1. A sample of6observationscollectedin a regression study on two variables,x(independent variable) and y(dependent variable).The sample resulted in the following data. SSR=79,SST=87,summation (x_i-xbar)²=22,summation (x_i-xbar)(y_i-ybar)=41. Calculate the t test statistics todetermine whether a statisticallylinear relationship exists between x and y.