Question
1. A sample of 11observationscollected 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
1. A sample of 11observationscollected 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=27, summation (x_i-xbar)(y_i-ybar)=51, xbar=3, ybar=10
Calculate the slope of the estimated regression equation.
2. A sample of 11observationscollected 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=28, summation (x_i-xbar)(y_i-ybar)=70, xbar=3, ybar=10
Calculate the y-intercept (b_0) of the estimated regression equation.
3. A sample of 5observationscollected in a regression study on two variables,x(independent variable) and y(dependent variable).The sample resulted in the following data.
SSR=60, SST=86
Calculate an unbiased estimate of the variance of the error term epsilon.
4. A sample of 5observationscollected in a regression study on two variables,x(independent variable) and y(dependent variable).The sample resulted in the following data.
SSR=67, SST=88, summation (x_i-xbar)2=25, summation (x_i-xbar)(y_i-ybar)=55.
Calculate the t test statistics todetermine whether a statisticallylinear relationship exists between x and y.
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