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A sample of 5 observations collected in a regression study on two variables, x(independent variable) and...

  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.

  2. 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.

  3. 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.

  4. 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.

  5. 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.

Math   Statistics-And-Probability   
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