SCENARIO 12-4
the Managers of a Brokerage Firm Are Interested

question 202

Short Answer

SCENARIO 12-4
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 that follows. $\begin{array}{lll}\text { Broker } & \text {Clients} & \text {Sales }\\1 & 27 & 52 \\2 & 11 & 37 \\3 & 42 & 64 \\4 & 33 & 55 \\5 & 15 & 29 \\6 & 15 & 34 \\7 & 25 & 58 \\8 & 36 & 59 \\9 & 28 & 44 \\10 & 30 & 48 \\11 & 17 & 31 \\12 & 22 & 38\end{array}$
-Referring to Scenario 12-4, the managers of the brokerage firm wanted to test the hypothesis that the population slope was equal to 0.At a level of significance of 0.01, the decision that should bemade implies that(there is a or there is no) linear dependent relationship between theindependent and dependent variables.

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Definitions:

Multiple Coefficient

Often refers to the coefficient of determination in multiple regression that measures the proportion of the variance in the dependent variable predictable from the independent variables.

SST

In the context of statistical analysis, particularly ANOVA, this can refer to the Total Sum of Squares, which measures the total variation in the data. NO.

Categorical Independent Variable

An independent variable with categorical data.

Dependent Variable

A variable in an experiment or study whose changes depend on the manipulation of the independent variables.