Please solve the following

Y (x - X) (x - 1)2 (V- D) ( x - D) . (1 -D) 0 6 2 2 3 4 0 SX= 10 12 a) (6 points) What are the sample means of x and y? | b) Complete the entries in the table above. Put the sums in the last row. (Show work below) c) Calculate S, and By, write out the equation for the fitted sample regression line (i.e.); = ... ) where fo and , are replaced by their actual values, interpret fo and $1- d) Use the least squares estimates from part (c) to complete the table below. Show your work below. 0 6 42. Consider the following five observations. You are to do all the parts of this exercise using only a calculator, or in an Excel spreadsheet. X x - X (x - x)2 y - y (x - x) ( y - D) 7.3 3 2.7 5 1.2 0 9 [v. = [x = Fill in the table. Put the sums in the last row. What are the sample means x and y? ge Calculate b, and by and state their interpretation. Compute )?_1 x7 , 27 1 x y;- Use the values to show that E(x - x)? = Ex; - nx2 and)(x - x) (y - y) = Exy - nxy d) Use the least squares estimates from part b to compute the fitted values of y and complete the remainder of the table below. Put the sums in the last row. X xe 7.3 3 2.7 1 5 2 1.2 0 9 4 Ine, = = = e) On graph paper (or a grid you draw), plot the points and sketch the fitted regression line " = bj + box;. Locate and plot the point of the means, (x, y). Does your fitted line pass through that point? f) Show that for the point of the means, (x, y), y = b, + b2x. g) Show that the mean of the predicted 9 is equal to y, the mean of the y. h) Compute 6. Compute the var(by)