A Forecaster Used the Regression Equation $Q _ { t } = a + b t + c _ { 1 } D _ { 1 } + c _ { 2 } D _ { 2 } + c _ { 3 } D _ { 3 }$

question 21

Multiple Choice

A forecaster used the regression equation $Q _ { t } = a + b t + c _ { 1 } D _ { 1 } + c _ { 2 } D _ { 2 } + c _ { 3 } D _ { 3 }$ and quarterly sales data for 2004I-2021IV (t = 1,...,64) for an appliance manufacturer to obtain the results shown below.Q is quarterly sales,and $D _ { 1 } , D _ { 2 }$ and $D _ { 3 }$ are dummy variables for quarters I,II,and III. What is the estimated intercept of the trend line in the second quarter?

• A)25
• B)26.6
• C)55
• D)65
• E)none of the above

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Definitions:

Rationalize

A method in mathematics used to eliminate the radical (such as a square root) from the denominator of a fraction.

Numerator

The top number in a fraction that indicates how many parts of a whole are being considered.

Evaluate

The process of calculating the value of an expression for a given value of its variables.

Expression

Any mathematical phrase that can contain numbers, variables, and operation symbols, but does not have an equality symbol.