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
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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?
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