a. Construct a scatterplot of the data. b. Find the equation of the least-squares line. c. Do you think the least-squares line gives accurate predictions? Explain. d. Delete the observation with the largest x value from the data set and recalculate the equation of the least-squares line. Does this observation greatly affect the equation of the line?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
5.39 • The article "California State Parks Closure List Due
Soon" (The Sacramento Bee, August 30, 2009) gave the
following data on y = number of employees in fiscal
year 2007–2008 and x = total size of parks (in acres)
for the 20 state park districts in California:
Number of Employees, y
Total Park Size, x
95
39,334
95
324
102
17,315
69
8,244
67
620,231
77
43,501
81
8,625
116
31,572
51
14,276
36
21,094
96
103,289
71
130,023
continued
Number of Employees, y
Total Park Size, x
76
16,068
112
3,286
43
24,089
87
6,309
131
14,502
138
62,595
80
23,666
52
35,833
a. Construct a scatterplot of the data.
b. Find the equation of the least-squares line.
c. Do you think the least-squares line gives accurate
predictions? Explain.
d. Delete the observation with the largest x value
from the data set and recalculate the equation
of the least-squares line. Does this observation
greatly affect the equation of the line?
Transcribed Image Text:5.39 • The article "California State Parks Closure List Due Soon" (The Sacramento Bee, August 30, 2009) gave the following data on y = number of employees in fiscal year 2007–2008 and x = total size of parks (in acres) for the 20 state park districts in California: Number of Employees, y Total Park Size, x 95 39,334 95 324 102 17,315 69 8,244 67 620,231 77 43,501 81 8,625 116 31,572 51 14,276 36 21,094 96 103,289 71 130,023 continued Number of Employees, y Total Park Size, x 76 16,068 112 3,286 43 24,089 87 6,309 131 14,502 138 62,595 80 23,666 52 35,833 a. Construct a scatterplot of the data. b. Find the equation of the least-squares line. c. Do you think the least-squares line gives accurate predictions? Explain. d. Delete the observation with the largest x value from the data set and recalculate the equation of the least-squares line. Does this observation greatly affect the equation of the line?
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman