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  3. a) a sample of 8 observations collected in a regre

a) A sample of 8 observations collected in a regression study on two variables, x(independent variable)...

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Statistics

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

SSR=66, SST=86

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

b) A sample of 11 observations collected in a regression studyon two variables, x(independent variable) and y(dependentvariable). The sample resulted in the following data.

SSE=22, SSR=64

Calculate the coefficient of determination for the developedestimated regression equation.

c) A sample of 11 observations collected in a regression studyon two variables, x(independent variable) and y(dependentvariable). The sample resulted in the following data.

SSR=76, SST=83,  summation (x_i-xbar)2=25,summation (x_i-xbar)(y_i-ybar)=49.

Calculate the t test statistics to determine whether astatistically linear relationship exists between x and y.

d)

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

SSR=73, SST=86

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

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