please answer fast tq all answer The managers of a brokerage firm are interested in finding out if the number of new cli

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please answer fast tq all answer
The managers of a brokerage firm are interested in finding outif the number of new clients a broker brings into the firm affectsthe sales generated by the broker. They sample 12 brokers anddetermine the number of new clients they have enrolled in the lastyear and their sales amounts in thousands of dollars. These dataare presented in the table that follows. Broker Clients Sales 1 2752 2 11 37 3 42 64 4 33 55 5 15 29 6 15 34 7 25 58 8 36 59 9 28 4410 30 48 11 17 31 12 22 38
a. Draw a scatter plot based on the data above. (3 marks)
b. Determine the following:
i. The least squares estimate of the slope
ii. The least squares estimate of the Y-intercept
iii. The total sum of squares (SST)
iv. The regression sum of squares (SSR)
v. The error or residual sum of squares (SSE)
vi. The coefficient of determination
vii. The coefficient of correlation (14 marks)
c. Calculate the prediction for the amount of sales (in $1,000s)for a person who brings 25 new clients into the firm. (3 marks)[Total: 20 marks]