(a) Make the table of contrast (a table of plus and minus signs from which all the main effects and interaction effects be calculated). (b) Calculate all the main and interaction effects. Show the steps of your calculation and only run software to check your answer. (c) Assuming the three-factor and higher order interactions to be noise, compute an estimate of the error variance of the effects. Show the steps of your calculation and only run software to check your answer. (d) Based on your results from Question 1(b) and (c), which of the estimated effects are likely to be the real effects rather than noise? 1Why? How would you interpret each of the real effect(s)? Show your interpretation graphically. Hint: see slide 1415 or reading material Section 5.8