Respond to the following :
1. Mark Gershon, owner of a musical instrument distributorship, thinks that demand for guitars may be related to the number of television appearances by the popular group Maroon 5 during the previous month. Mark has collected the data shown in the following table:
|
DEMAND FOR GUITARS
|
3
|
6
|
7
|
5
|
10
|
7
|
|
MAROON 5 TV APPEARANCES
|
3
|
4
|
7
|
6
|
|
a)Graph these data to see whether a linear equation might describe the relationship between the group's television shows and guitar sales.
b)Use the least-squares regression method to derive a forecasting equation.
c)What is your estimate for guitar sales if Maroon 5 performed on TV nine times last month?
d)What are the correlation coefficient (r) and the coefficient of determination (r2) for this model, and what do they mean?
2. Thirteen students entered the business program at Sante Fe College 2 years ago. The following table indicates what each student scored on the high school SAT math exam and their grade-point averages (GPAs) after students were in the Sante Fe program for 2 years:
|
STUDENT
|
A
|
B
|
C
|
D
|
E
|
F
|
G
|
|
SAT SCORE
|
421
|
377
|
585
|
690
|
608
|
390
|
415
|
|
GPA
|
2.90
|
2.93
|
3.00
|
3.45
|
3.66
|
2.88
|
2.15
|
|
STUDENT
|
H
|
I
|
J
|
K
|
L
|
M
|
|
|
SAT SCORE
|
481
|
729
|
501
|
613
|
709
|
366
|
|
|
GPA
|
2.53
|
3.22
|
1.99
|
2.75
|
3.90
|
|
a)Is there a meaningful relationship between SAT math scores and grades?
b)If a student scores a 350, what do you think his or her GPA will be?
c)What about a student who scores 800?