SCENARIO 13-1
a Manager of a Product Sales Group Believes

question 127

Multiple Choice

SCENARIO 13-1
A manager of a product sales group believes the number of sales made by an employee (Y) depends on how many years that employee has been with the company (X1) and how he/she scored on a business aptitude test (X2) .A random sample of 8 employees provides the following: $$\begin{array} { c r r r } \text { Emplovee } & { Y } & { X _ { 1 } } & X _ { 2 } \\\hline 1 & 100 & 10 & 7 \\2 & 90 & 3 & 10 \\3 & 80 & 8 & 9 \\4 & 70 & 5 & 4 \\5 & 60 & 5 & 8 \\6 & 50 & 7 & 5 \\7 & 40 & 1 & 4 \\8 & 30 & 1 & 1\end{array}$$
-Referring to SCENARIO 13-1, for these data, what is the estimated coefficient for the variable representing scores on the aptitude test, b2?

• A)0.998
• B)3.103
• C)4.698
• D)21.293

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Definitions:

Variance

A measure of the dispersion or spread of a set of values, calculated as the average of the squared deviations from the mean.

Binomial Random Variable

A type of random variable that follows a binomial distribution, signifying the number of successes in a series of independent trials.

Normal Approximations

The use of the normal distribution to approximate the distribution of sample statistics for large sample sizes, even if the data itself is not normally distributed.

Exact Probabilities

The precise likelihood, often computationally derived, of observing a particular outcome in a statistical experiment.