The managers of a brokerage firm are interested in finding out if the number of new clients a broker brings into the firm affects the sales generated by the broker. They sample 12 brokers and determine the number of new clients they have enrolled in the last year and their sales amounts in thousands of dollars. These data are presented in the table below. Use the linear regression t-test.
Clients Sales
27 52
11 37
42 64
33 55
15 29
15 34
25 58
36 59
28 44
30 48
17 31
22 38
The estimate of the slope is?
The estimate of the y-intercept is?
The prediction for the sales for a broker who brings in 25 clients is?
The coefficient of determination is?
The coefficient of correlation is?
The critical value used for the Pearson Correlation Coefficient test is?