ESSEN OF BUSINESS ANALYTICS (LL) BOM
2nd Edition
ISBN: 9781337128629
Author: Camm
Publisher: CENGAGE L
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Chapter 7, Problem 20P
The Scholastic Aptitude Test (or SAT) is a standardized college entrance test that is used by colleges and universities as a means for making admission decisions. The critical reading and mathematics components of the SAT are reported on a scale from 200 to 800. Several universities believe these scores are strong predictors of an incoming student’s potential success, and they use these scores as important inputs when making admission decisions on potential freshman. The tile RugglesCollege contains freshman year GPA and the critical reading and mathematics SAT scores for a random sample of 200 students who recently completed their freshman year at Ruggles College.
- a. Develop an estimated multiple regression equation that includes critical reading and mathematics SAT scores as independent variables. How much variation in freshman GPA is explained by this model? Test whether each of the regression parameters β0, β1, and β2, is equal to zero at a 0.05 level of significance. What are the correct interpretations of the estimated regression parameters? Are these interpretations reasonable?
- b. Using the multiple linear regression model you developed in part (a), what is the predicted freshman GPA of Bobby Engle, a student who has been admitted to Ruggles College with a 660 SAT score on critical reading and at a 630 SAT score on mathematics?
- c. The Ruggles College Director of Admissions believes that the relationship between a student’s scores on the critical reading component of the SAT and the student’s freshman GPA varies with the student’s score on the mathematics component of the SAT. Develop an estimated multiple regression equation that includes critical reading and mathematics SAT scores and their interaction as independent variables. How much variation in freshman GPA is explained by this model? Test whether each of the regression parameters β0, β1, β2, and β3 is equal to zero at a 0.05 level of significance. What are the correct interpretations of the estimated regression parameters? Do these results support the conjecture made by the Ruggles College Director of Admissions?
- d. Do you prefer the estimated regression model developed in part (a) or part (c)? Explain.
- e. What other factors could be included in the model as independent variables?
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Section 2.2 Subsets
71
Exercise Set 2.2
Practice Exercises
In Exercises 1-18, write or in each blank so that the resulting
statement is true.
1. {1, 2, 5}
{1, 2, 3, 4, 5, 6, 7}
2. {2, 3, 7}
{1, 2, 3, 4, 5, 6, 7}
3. {-3, 0, 3}
{-4,-3,-1, 1, 3, 4}
4. {-4, 0, 4}
5. {Monday, Friday}
{-3, -1, 1, 3}
{Saturday, Sunday, Monday, Tuesday, Wednesday}
6. {Mercury, Venus, Earth}
{Venus, Earth, Mars, Jupiter}
7. {x/x is a cat}
{xx is a black cat}
{x|x is a pure-bred dog}
ibrary
mbers,
ause the
entire
sual
8. {xx is a dog}
9. (c, o, n, v, e, r, s, a, t, i, o, n}
{v, o, i, c, e, s, r, a, n, t, o, n}
10. [r, e, v, o, l, u, t, i, o, n}
{t, o, l, o, v, e, r, u, i, n}
33. A = {x|x E N
and
5 < x < 12}
B
=
{x|x E N
and
2 ≤ x ≤ 11}
A_ B
34. A =
{x|x = N
and
3 < x < 10}
B =
A.
{x|x = N
and
2 ≤ x ≤ 8}
B
35. Ø
{7, 8, 9,..., 100}
36. Ø
_{101, 102, 103, . . ., 200}
37. [7, 8, 9,...}
38. [101, 102, 103, ...}
39. Ø
40. { }
{ }
e
In Exercises 41-54, determine whether each statement is true or
false. If…
A = 5.8271 ± 0.1497
=
B 1.77872 ± 0.01133
C=0.57729 ± 0.00908
1. Find the relative uncertainty of A, B, and C
2. Find A-3
3. Find 7B
4. Find A + B
5. Find A B-B
-
6. Find A * B
7. Find C/B
8. Find 3/A
9. Find A 0.3B
-
10. Find C/T
11. Find 1/√A
12. Find AB²
Why charts,graphs,table??? difference between regression and correlation analysis.
Chapter 7 Solutions
ESSEN OF BUSINESS ANALYTICS (LL) BOM
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Ch. 7 - The American Association of Individual Investors...Ch. 7 - The National Football League (NFL) records a...Ch. 7 - Johnson Filtration. Inc., provides maintenance...Ch. 7 - A study investigated the relationship between...Ch. 7 - The U.S. Department of Energys Fuel Economy Guide...Ch. 7 - A highway department is studying the relationship...Ch. 7 - A sample containing years to maturity and...Ch. 7 - In 2011, home prices and mortgage rates fell so...Ch. 7 - A recent 10-year study conducted by a research...Ch. 7 - The Scholastic Aptitude Test (or SAT) is a...Ch. 7 - Consider again the example introduced in Section...Ch. 7 - Alumni donations are an important source of...
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