Mathematics – Statistics

Attached, two problems

3. Jean Siskel is an entertainment analyst for West Coast Securities. He is trying to develop a model to estimate gross earning generated by a new movie release. He has collected the following data on 20 movies: Gross Earnings, Production Costs, Promotion Costs, and if the movie is based on a bestseller novel: (12 pts)

Gross Earnings Production Cost Promotion Cost

Movie Millions $ Millions $ Millions $ Novel

1 28 4.2 1 0

2 35 6 3 1

3 50 5.5 6 1

4 20 3.3 1 0

5 75 12.5 11 1

6 60 9.6 8 1

7 15 2.5 0.5 0

8 72 10 12 1

9 45 6.4 8 1

10 37 7.5 5 0

11 30 5.0 1 1

12 63 10.1 10 0

13 58 7.8 9 1

14 50 6.9 10 0

15 24 3.5 4 0

16 82 11.0 15 1

17 48 10.7 1 1

18 34 6.6 2 0

19 50 8.4 3 1

20 45 10.8 5 0

a. What type of variable is novel?

b. What is the estimated multiple linear regression equation derived from this data?

c. What are the regression coefficients for each X variable? Interpret the regression coefficient.

d. Will Jean be pleased with the results?

e. Interpret the intercept value.

9. Bay Area Community College (BACC) has collected data comparing the starting salaries of their graduating students with last names beginning with the letters A through M with those whose last names begin with N through Z. The first category, A through M, provided 47 random responses . The second category, N through Z, had 52 random responses . (12 pts)

Students_A_M Students_N_Z

32,890 21098

23000 19880

29015 25098

31898 18993

29466 20891

27890 25876

30654 23091

31973 24562

21456 18076

22,999 27889

32776 22101

30434 20993

34954 21788

36987 23569

20876 20965

27654 23458

29432 24567

31876 23863

30987 20962

29670 22553

22579 21098

35985 24898

32470 21964

28763 23009

29415 21890

35071 24874

25983 19823

21880 24538

35593 24729

22,569 23789

29841 25698

32650 20436

29427 24990

29996 21343

31874 23451

23195 21099

34990 25765

29845 22567

29996 27899

33889 21005

25182 22890

36201 24321

22994 21054

35789 22378

23198 27654

29468 25645

29379 19765

23109

18654

22891

19804

25993

a) If you assume that last names should not have an impact on starting salary of graduates of BACC, then what is the appropriate null hypothesis?

b) State the research hypothesis in words and in notation.

c) Calculate the appropriate test statistic.

d) Calculate the appropriate p-value for the test statistic.

e) Is the statistic statistically significant?

f) What type of error if any has been committed?

Last Updated on February 11, 2019 by Essay Pro