Question 3 (22 points) The number of users of a social networking website is shown below. Months Number of Users (in Million) 1 30 2 29 3 31 30 31 30 18 8 19 17 10 18 11 16 12 14a. Using technology, construct a scatter plot of this data. Attach this picture to your answers. b. Describe the trend. c. Perform linear regression. i. Characterize the correlation. ii. identify the line of best fit. d. Construct a residual plot. e. Do you think this is a good model for this correlation? Explain why or why not. f. Is there evidence of a hidden variable? Explain. g. Initially this website was free. When did the website start charging a fee? How do you know? Explain the effect this had on the linear trend. h. How would you change the linear model so that it will do a betterjob of predicting the future popularity of the website? Discuss your reasoning, including any assumptions you make