Chapter 1. Truist Bank started its operations in April 2020. Since then, they have collected monthly data regarding new accounts opened in the bank every month until September 2021. The table below shows how the new accounts for each of those 18 months. Imonth t 1 2 3 4 5 6 7 18 19 10 11 12 13 14 15 16 17 18 new Yt 200 225 235 240 245 265 280 265 290 285 270 300 305 310 320 340 360 365 accounts Based on this information, they would like to predict how many new accounts they can expect to get in the month of October (the 19th month). However, there is a disagreement among their managers on which of the following methods is the most suitable for making the predictions: • Regression Analysis (with no seasonality) • Moving Average (with m = 3) • Exponential smoothing (with alpha = 0.33) Do a comparison analysis by finding the MSES using all three methods and fill in the blanks below (round to two decimal places): 1. The MSE obtained using the Regression Analysis model is: 2. The MSE obtained using the Moving Average method is: 3. The MSE obtained using the Exponential Smoothing method is: 4. What should be the preferred method for forecasting here? : 5. The predicted value for October (19th month) new accounts =

A researcher thinks some social media sites are more prone to narcissistic behavior (excessive posting) than others. To examine the relationship between narcissism and social media, she recruits users of three different social media sites (Facebook, Twitter and Instagram), follows them for 24 hours and records the number of posts made by each user. The number of posts is given in the table below. Twitter Facebook Instagram 10 7 14 10 8. 10 10 10 11 9. www. 12 wwww. 11 13 12 8. 7 8. 11 8 10 12 11 11 a. Perform a complete hypothesis test to determine whether there are any significant differences among the three groups. Test at the .05 level of significance. SHOW ALL YOUR WORK b. Do you need to perform post hocs? Explain but do not compute the post hocs. C. Compute effect size. d. Summarize your findings in a source table. e. Write an interpretation of our results in APA-format (include means and SDs in your interpretation)

A population starts with 16 carpet beetles and in a week the population increase by 1 new beetle for every 4 beetles that were there the previous week which can be shown in the following table: Week 0 Week 1 Week 2 Week 3 = 31 Week 5 = 49 Week 4 16 20 25 = 39 How many beetles do you estimate there will be by Week 8?