Marketing Analyst
a Marketing Analyst Is Interested in Predicting Prospective

question 75

Essay

Marketing Analyst
A marketing analyst is interested in predicting prospective buyer's knowledge about compact disc players.A random sample of 36 buyers was taken,a questionnaire about compact disc players completed,and information about education,income and age was obtained.In estimating the equation,the variables were:
y = knowledge about compact disc players
x₁ = education (years)
x₂ = age
x₃ = income (thousands of dollars)
The resulting output using MINITAB was: $$\begin{array}{l}\text { The regression equation is }\\\begin{array} { l c c r } Y = 50.2 + 4.36 \times 1 - 0.632 \times 2 - 0.068 \times 3 & \\& & \\\text { Predictor } & \text { Coef } & \text { Stdev } & \text { t-ratio } \\\text { Constant } & 50.168 & 4.977 & 10.08 \\X 1 & 4.3609 & 0.4064 & 10.73 \\X 2 & - 0.63169 & 0.08172 & - 7.73 \\X 3 & - 0.0682 & 0.1176 & - 0.58 \\s = 4.615 & \text { R-sq } = 85.0 \% & \text { R-sq(adj) } = 83.6 \%\end{array}\end{array}$$
-Predict the questionnaire score for a buyer who is 41 years of age,has 13 years of education,and $39,000 income.

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Definitions:

Federal Unemployment

Refers to the United States federal government program that provides unemployment benefits to eligible workers.

FICA-OASDI

Refers to the Social Security portion of the Federal Insurance Contributions Act tax, used to fund the Social Security program in the United States.

Calendar Year

The 12-month period a business chooses for its accounting year. Alternatively known as fiscal year and natural business year.

State Unemployment Tax Rate

The rate at which employers are taxed by their state government to fund unemployment insurance benefits for laid-off workers.