TABLE 13-4 The Managers of a Brokerage Firm Are Interested in Finding

question 173

Short Answer

TABLE 13-4
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.
-Referring to Table 13-4, the managers of the brokerage firm wanted to test the hypothesis that the number of new clients brought in had a positive impact on the amount of sales generated. For a test with a level of significance of 0.01, the null hypothesis should be rejected if the value of the test statistic is ________.

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Definitions:

Level of Significance

A statistical measure that defines how strong the evidence must be to reject the null hypothesis in a hypothesis test.

Regression Model

A regression model is a statistical tool used to estimate the relationships among variables, typically between a dependent variable and one or more independent variables.

Multicollinearity

Multicollinearity occurs when independent variables in a regression model are highly correlated, potentially distorting the results and making coefficients unreliable.

Standard Errors

Measures that provide an estimation of the variability or precision of a sample statistic as an estimate of a population parameter.