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Computer project # 2: Date (Median) 06/2008 $437,097 05/2008 $449,475 04/2008 $4

ID: 3250317 • Letter: C

Question

Computer project # 2:

Date

(Median)

06/2008

$437,097

05/2008

$449,475

04/2008

$451,250

03/2008

$463,860

02/2008

$472,475

01/2008

$480,700

12/2007

$494,360

11/2007

$499,599

10/2007

$510,180

09/2007

$520,999

08/2007

$527,975

07/2007

$534,800

06/2007

$539,500

05/2007

$543,750

04/2007

$546,000

03/2007

$549,724

02/2007

$549,450

01/2007

$549,100

12/2006

$549,975

11/2006

$554,975

10/2006

$559,580

09/2006

$567,247

08/2006

$570,725

07/2006

$575,770

06/2006

$578,837

05/2006

$579,340

04/2006

$579,666

The data above is the median price of LA County from 04/2006 to 06/2008. Answer the following questions.

Define the variable and the populations.

Describe how the sample was selected.

Find 90% CI for population mean. interpreted your answer.

Find the regression line formula

Use the regression line formula to predict the average price

Date

(Median)

06/2008

$437,097

05/2008

$449,475

04/2008

$451,250

03/2008

$463,860

02/2008

$472,475

01/2008

$480,700

12/2007

$494,360

11/2007

$499,599

10/2007

$510,180

09/2007

$520,999

08/2007

$527,975

07/2007

$534,800

06/2007

$539,500

05/2007

$543,750

04/2007

$546,000

03/2007

$549,724

02/2007

$549,450

01/2007

$549,100

12/2006

$549,975

11/2006

$554,975

10/2006

$559,580

09/2006

$567,247

08/2006

$570,725

07/2006

$575,770

06/2006

$578,837

05/2006

$579,340

04/2006

$579,666

Explanation / Answer

Answer:

The data above is the median price of LA County from 04/2006 to 06/2008. Answer the following questions.

Define the variable and the populations.

variable is sales price and the population is price of all counties.

Describe how the sample was selected.

Sample data (median sales prices ) was collected over 27 months from 04/2006 to 06/2008.

Find 90% CI for population mean. interpreted your answer.

Confidence Interval Estimate for the Mean

Data

Sample Standard Deviation

27439.82349

Sample Mean

$442,365

Sample Size

27

Confidence Level

90%

Intermediate Calculations

Standard Error of the Mean

5280.796494

Degrees of Freedom

26

t Value

1.7056

Interval Half Width

9007.0211

Confidence Interval

Interval Lower Limit

433358.28

Interval Upper Limit

451372.32

90% CI= (433358.28, 451372.32).

We are 90% confident that true price will fall in the interval (433358.28, 451372.32).

Find the regression line formula

Use the regression line formula to predict the average price

Regression Analysis

0.107

n

27

r

-0.327

k

1

Std. Error

26444.178

Dep. Var.

(Median)

ANOVA table

Source

SS

df

MS

F

p-value

Regression

2,094,177,837.2460

1  

2,094,177,837.2460

2.99

.0959

Residual

17,482,363,910.3836

25  

699,294,556.4153

Total

19,576,541,747.6296

26  

Regression output

confidence interval

variables

coefficients

std. error

   t (df=25)

p-value

95% lower

95% upper

Intercept

458,195.1852

10,467.8589

43.772

3.76E-25

436,636.2262

479,754.1442

t

-1,130.7063

653.3910

-1.731

.0959

-2,476.3902

214.9775

The regression line price =458,195.1852-1,130.7063*time

Price (Median)

count

27

mean

442,365.30

sample standard deviation

27,439.82

sample variance

752,943,913.37

minimum

437072

maximum

579666

range

142594

Confidence Interval Estimate for the Mean

Data

Sample Standard Deviation

27439.82349

Sample Mean

$442,365

Sample Size

27

Confidence Level

90%

Intermediate Calculations

Standard Error of the Mean

5280.796494

Degrees of Freedom

26

t Value

1.7056

Interval Half Width

9007.0211

Confidence Interval

Interval Lower Limit

433358.28

Interval Upper Limit

451372.32

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