Question

Given are five observations for two variables, x and y. xi 1 2 3 4 5...

Given are five observations for two variables, x and y.

xi 1 2 3 4 5
yi 4 7 6 11 14



The estimated regression equation is  = 1.2 + 2.4 x.

  1. Compute the mean square error using the following equation (to 3 decimals).




  2. Compute the standard error of the estimate using the following equation (to 3 decimals).




  3. Compute the estimated standard deviation b 1 using the following equation (to 3 decimals).




  4. Use the t test to test the following hypotheses ( = .05):


    e. Compute the value of the t test statistic (to 2 decimal

d.

Use the F test to test the hypotheses in part (d) at a .05 level of significance.

Complete the F table below. Calculate the Sum of Squares (to 1 decimal), the Mean Squares (to 3 decimals), and the F ratio (to 2 decimals).

Source of Variation Degrees of Freedom Sum of Squares Mean Square F
Regression
Error
Total

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