A business analyst is hired by a local real estate firm to före sales on a quarterly basis over the next several years. The firm provides the analyst with three years worth of quarterly condo sales data. Noticing that the data exhibits increasing trend and a seasonal pattern, the analyst chooses to create a multiple regression model for generating the forecasts: y 130 + 16 Qtr1 + (-98) Qtr2 + (-85) Qtr3 + 9t %3D In the equation above, Qtr1, Qtr2, and Qtr3 are dummy variables corresponding to the first, second, and third quarters of the calendar year and t is the time period number, starting with t = 1 for the first quarter of year 1. Using the model described above, what is the forecast for the number of condo sales the firm can expect during the second quarter of year 5? (Hint: the second quarter of year 5 would be time period t = 18.)

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A business analyst is hired by a local real estate firm to forecast how condo sales on
a quarterly basis over the next several years. The firm provides the analyst with three
years worth of quarterly condo sales data. Noticing that the data exhibits increasing
trend and a seasonal pattern, the analyst chooses to create a multiple regression
model for generating the forecasts:
y = 130 + 16 OQtr1+(-98) Qtr2 + (-85) Qtr3 + 9 t
In the equation above, Qtr1, Qtr2, and Qtr3 are dummy variables corresponding to
the first, second, and third quarters of the calendar year and t is the time period
number, starting with t = 1 for the first quarter of year 1.
%3D
Using the model described above, what is the forecast for the number of condo sales
the firm can expect during the second quarter of year 5?
(Hint: the seeond quarter of year 5 would be time perlodt- 18.)
Transcribed Image Text:A business analyst is hired by a local real estate firm to forecast how condo sales on a quarterly basis over the next several years. The firm provides the analyst with three years worth of quarterly condo sales data. Noticing that the data exhibits increasing trend and a seasonal pattern, the analyst chooses to create a multiple regression model for generating the forecasts: y = 130 + 16 OQtr1+(-98) Qtr2 + (-85) Qtr3 + 9 t In the equation above, Qtr1, Qtr2, and Qtr3 are dummy variables corresponding to the first, second, and third quarters of the calendar year and t is the time period number, starting with t = 1 for the first quarter of year 1. %3D Using the model described above, what is the forecast for the number of condo sales the firm can expect during the second quarter of year 5? (Hint: the seeond quarter of year 5 would be time perlodt- 18.)
Examine the following two quantitative variables. Create a quadratic model to
predict y using x as the predictor variable.
X Y
0.82.1
2.12.9
3.43.5
4.5 7.2
5.8 10.2
6.2 10.1
(Hint: copy-and-paste the data into Excel or statistical software and use the
computer to calculate the correlation.)
y =2.977-0.856x +0.31x2
y = -0.126+1.154x +0.079r2
y = 3.989- 1.573x +0.397r
y = 1.662 0.203r + 0.24x
y 1.939 - 0.121r+ 0. 249r
Transcribed Image Text:Examine the following two quantitative variables. Create a quadratic model to predict y using x as the predictor variable. X Y 0.82.1 2.12.9 3.43.5 4.5 7.2 5.8 10.2 6.2 10.1 (Hint: copy-and-paste the data into Excel or statistical software and use the computer to calculate the correlation.) y =2.977-0.856x +0.31x2 y = -0.126+1.154x +0.079r2 y = 3.989- 1.573x +0.397r y = 1.662 0.203r + 0.24x y 1.939 - 0.121r+ 0. 249r
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