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.