Explain r and r-squared- f-test and interpret its value, Financial Accounting

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To decide in what zone should be placed a store which sells video-cassettes, the manager of a firm which sells and rents cassettes makes a study to estimate the demand for each store. The independent variables are: number of inhabitants, average income of inhabitants, number of competitors situated (all these variables refer to a one mile distance) and the price of a video-cassette. You will have a number of 15 supermarkets and the values of all 5 explicative variables. The data are given below:

Demand (yi)

No. of inhabitants (x1i)

Income (x2i)

 

Competitors (x3i)

Price (x4i)

323.581

5.556

42.746

3

2.49

343.682

5.917

43.106

2

2.99

375.264

5.483

46.993

5

2.99

351.242

6.400

43.249

2

1.99

328.417

5.917

40.695

3

2.49

318.069

6.683

41.253

3

2.49

330.959

6.065

40.791

2

2.49

267.236

7.491

39.932

3

2.49

320.883

6.284

36.826

1

2.99

409.535

5.851

45.300

3

2.99

316.262

5.681

42.645

3

2.49

351.806

5.187

42.306

2

2.99

333.655

6.164

44.842

3

1.99

372.679

7.320

45.233

3

2.99

362.796

5.062

41.426

3

2.99

Questions:

1.  What can you say about R and R-squared?

2.  How do you interpret the standard error?

3.  Explain briefly the meaning of the F-test and interpret its value

4.  For which variables did you obtain a significant coefficient? Interpret all the coefficients from an economic point of view

5.  Which variables you would eliminate if you were to re-do the estimation?


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