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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?

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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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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