Data collected on the yearly registrations for a Six Sigma seminar at the Quality College are shown in the following table:
a. Develop a 3-Year moving average to forecast registrations from year 4 to 12.
b. Estimate demand again for year 4 to 12 with a 3-Year weighted moving average in which
registrations in the most recent years are given a weight of 0.7, and registrations in the other 2
years are each given a weight of 0.15 and 0.15 respectively.
c. Use exponential smoothing with a smoothing constant of 0.4, 0.6 and 0.7 to forecast the
registration at the seminar. To begin the forecast, assume the year 1 forecast is 5,500 people
signing up.
a. What is the MAD?
b. What is the MSE?
c. Which model is best?
d. Graph the actual data and the forecast data of all the above-mentioned models.

Ascientist studied a population of workers to determine whether verbal praise and/or tangible rewards affect employee productivity. in the study, some workers were offered verbal praise, some were offered tangible rewards (gift cards, presents, and some were offered neither. the productivity of each participant was measured throughout the study by recording the number of daily tasks completed by each employee. which inference might the scientists make based on the given information? a.) the number of daily tasks completed by each employee may influence the dependent variable, which is whether the employee receives verbal praise, tangible rewards, or neither. b.) verbal praise and/or tangible rewards may influence the independent variable, which is the number of daily tasks completed by each employee. c.) verbal praise and/or tangible rewards may influence the dependent variable, which is the number of daily tasks completed by each employee. d.) the dependent variables, which are verbal praise and tangible rewards, may influence the number of daily tasks completed by each employee.