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

question 42

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. At the 5 percent level of significance,is there a statistically significant trend in sales?

• A)No,because 1.5 < 2.66.
• B)No,because 1.5 < 2.00.
• C)No,because 2.14 < 2.66.
• D)Yes,because 2.14 > 2.00.
• E)none of the above

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Definitions:

Capital Gain Yield

The rate of return on an investment based on the increase in its market value over the original purchase price, excluding dividends or interest.

Income Yield

The income return on an investment, typically expressed as a percentage of the investment’s cost or current market value.

Rate of Total Return

The percentage gain or loss on an investment over a specified period, considering both price appreciation and dividends or interest.

Compounded Quarterly

A method of calculating interest in which the interest is added to the principal amount every three months, then interest is calculated on the new total.