What is the coefficient of determination, Basic Statistics

Assignment Help:

The data in the table below are the results of a random sample of recent home sales in your neighborhood that your boss has asked you to use to estimate the relationship between the selling price of the house and the number of square feet in it.

Observation Number

Sale Price     (in thousands)

Square Feet (in hundreds)

1

280

20.3

2

328

30.0

3

281

21.5

4

293

25.4

5

263

14.5

6

291

22.3

7

320

31.0

8

256

37.2

9

311

27.1

10

352

30.2

11

288

21.2

12

356

37.2

13

293

23.0

14

272

26.7

15

308

26.5


a. First plot the data, with number of square feet on the "X" axis and the price of the house on the "Y" axis. Explain why housing price is the dependent variable and square feet is the independent variable.

b. What is the estimated regression line?  What does the coefficient of square feet represent?

c. Is the sample size large enough for the estimated coefficient of square feet to be statistically significant at the 5% level?

d. What is the coefficient of determination (R2)?

e. Perform an F-test, again at the 5% level.


Related Discussions:- What is the coefficient of determination

Define best appraise , Define best appraise To make and calculate of valu...

Define best appraise To make and calculate of value of a resource, for example a good financial commitment or financial commitment resource, particularly of the value of property

Characteristics of statistics, Mention the characteristics of statistics. E...

Mention the characteristics of statistics. Explain any two application of Statistics

TRENDS , Why do we particularly omit the middle year when using the semi-av...

Why do we particularly omit the middle year when using the semi-average method to fit a trend line

Adaptations, what are flatworms adaptations

what are flatworms adaptations

Calculate the mean absolute percentage error, Littlefield Laboratories is a...

Littlefield Laboratories is a state-of-the-art highly automated blood samples testing lab. The demand of blood sample testing for the previous 20 days (day 1 to day 20) are given i

Hypothesis testing.., Miller (2008) examined the energy drink consumption o...

Miller (2008) examined the energy drink consumption of college undergraduates and found that males use energy drinks significantly more often than females. To further investigate t

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd