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A state's park system statistical report for the 2014/2015 fiscal year gave the accompanying data on x-amount of money collected in user fees (in thousands of dollars) and y operating cost (in thousands of dollars) for nine state parks in a certain district. User Fees Operating Costs (thousands of dollars) (thousands of dollars) 17 4000 3000 811 2000 380 33 1000. 427 (a) Construct a scatterplot of these data. 500 734 760 LAUSE SALT 4000 3000 DULE. 2000 1000 800 3,618 1,363 239 200 752 1,054 2,227 1,636 400 600 800 Describe any interesting features of the scatterplot There is a positive 4000 3000 2000 1000 200 400 600 linear relationship between user fees collected and operating costs. (b) Find the equation of the least squares line. (Round your answers to four decimal places.) 9- 1x +(1 x x (c) Is the slope of the least squares line positive or negative? Is this consistent with your description of the scatterplot in part (a)? The slope is negative, which is consistent with the description in part (a). O The slope is positive, which is not consistent with the description in part (a). O The slope is negative, which is not consistent with the description in part (a). The slope is positive, which is consistent with the description in part (a). 200 400 (4) Based on the scatterplot, do you think that the value of the correlation coefficient for this data set would be less than 0.5 or greater than 0.5? Explain. The correlation coefficient would be greater than 0.5, because the relationship appears moderate or strong O The correlation coefficient would be less than 0.5, because the values are not all colinear. O The correlation coefficient would be less than 0.5, because the relationship appears weak O The correlation coefficient would be less than 0.5, because the relationship appears moderate or strong The correlation coefficient would be greater than 0.5, because the relationship appears weak. 600 800 4000 3000 2000 1000 200 400 600

A state's park system statistical report for the 2014/2015 fiscal year gave the accompanying data on x-amount of money collected in user fees (in thousands of dollars) and y operating cost (in thousands of dollars) for nine state parks in a certain district. User Fees Operating Costs (thousands of dollars) (thousands of dollars) 17 4000 3000 811 2000 380 33 1000. 427 (a) Construct a scatterplot of these data. 500 734 760 LAUSE SALT 4000 3000 DULE. 2000 1000 800 3,618 1,363 239 200 752 1,054 2,227 1,636 400 600 800 Describe any interesting features of the scatterplot There is a positive 4000 3000 2000 1000 200 400 600 linear relationship between user fees collected and operating costs. (b) Find the equation of the least squares line. (Round your answers to four decimal places.) 9- 1x +(1 x x (c) Is the slope of the least squares line positive or negative? Is this consistent with your description of the scatterplot in part (a)? The slope is negative, which is consistent with the description in part (a). O The slope is positive, which is not consistent with the description in part (a). O The slope is negative, which is not consistent with the description in part (a). The slope is positive, which is consistent with the description in part (a). 200 400 (4) Based on the scatterplot, do you think that the value of the correlation coefficient for this data set would be less than 0.5 or greater than 0.5? Explain. The correlation coefficient would be greater than 0.5, because the relationship appears moderate or strong O The correlation coefficient would be less than 0.5, because the values are not all colinear. O The correlation coefficient would be less than 0.5, because the relationship appears weak O The correlation coefficient would be less than 0.5, because the relationship appears moderate or strong The correlation coefficient would be greater than 0.5, because the relationship appears weak. 600 800 4000 3000 2000 1000 200 400 600

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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A state's park system statistical report for the 2014/2015 fiscal year gave the accompanying data on x = amount of money collected in user fees (in thousands of dollars) and y = operating cost (in thousands of dollars) for nine state parks in a certain district. 17 74 363 811 3,618 380 1,363 M 33 239 427 752 500 1,054 734 760 4000 (a) Construct a scatterplot of these data. 3000 User Fees Operating Costs (thousands of dollars) (thousands of dollars) 2000 1000 USE SALT 200 Need Help? 400 Submit Answer 600 99 Describe any interesting features of the scatterplot. There is a positive Read It 2,227 1,636 800 Watch It y 4000 3000 LILL 2000 1000 0 200 400 y 4000 3000 2000 1000 0 0 (b) Find the equation of the least squares line. (Round your answers to four decimal places.) ŷ = X + |× )x 200 400 linear relationship between user fees collected and operating costs. (c) Is the slope of the least squares line positive or negative? Is this consistent with your description of the scatterplot in part (a)? O The slope is negative, which is consistent with the description in part (a). O The slope is positive, which is not consistent with the description in part (a). O The slope is negative, which is not consistent with the description in part (a). ● The slope is positive, which is consistent with the description in part (a). (d) Based on the scatterplot, do you think that the value of the correlation coefficient for this data set would be less than 0.5 or greater than 0.5? Explain. ● The correlation coefficient would be greater than 0.5, because the relationship appears moderate or strong. O The correlation coefficient would be less than 0.5, because the values are not all colinear. O The correlation coefficient would be less than 0.5, because the relationship appears weak. O The correlation coefficient would be less than 0.5, because the relationship appears moderate or strong. O The correlation coefficient would be greater than 0.5, because the relationship appears weak. 600 800 600 y 800 4000 3000 2000 1000 0 0 200 400 600 800 X
Transcribed Image Text:A state's park system statistical report for the 2014/2015 fiscal year gave the accompanying data on x = amount of money collected in user fees (in thousands of dollars) and y = operating cost (in thousands of dollars) for nine state parks in a certain district. 17 74 363 811 3,618 380 1,363 M 33 239 427 752 500 1,054 734 760 4000 (a) Construct a scatterplot of these data. 3000 User Fees Operating Costs (thousands of dollars) (thousands of dollars) 2000 1000 USE SALT 200 Need Help? 400 Submit Answer 600 99 Describe any interesting features of the scatterplot. There is a positive Read It 2,227 1,636 800 Watch It y 4000 3000 LILL 2000 1000 0 200 400 y 4000 3000 2000 1000 0 0 (b) Find the equation of the least squares line. (Round your answers to four decimal places.) ŷ = X + |× )x 200 400 linear relationship between user fees collected and operating costs. (c) Is the slope of the least squares line positive or negative? Is this consistent with your description of the scatterplot in part (a)? O The slope is negative, which is consistent with the description in part (a). O The slope is positive, which is not consistent with the description in part (a). O The slope is negative, which is not consistent with the description in part (a). ● The slope is positive, which is consistent with the description in part (a). (d) Based on the scatterplot, do you think that the value of the correlation coefficient for this data set would be less than 0.5 or greater than 0.5? Explain. ● The correlation coefficient would be greater than 0.5, because the relationship appears moderate or strong. O The correlation coefficient would be less than 0.5, because the values are not all colinear. O The correlation coefficient would be less than 0.5, because the relationship appears weak. O The correlation coefficient would be less than 0.5, because the relationship appears moderate or strong. O The correlation coefficient would be greater than 0.5, because the relationship appears weak. 600 800 600 y 800 4000 3000 2000 1000 0 0 200 400 600 800 X
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