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 (thousands of dollars) Operating Costs (thousands of dollars) 17 99 74 363 811 3,618 380 1,377 33 241 427 768 500 1,034 734 2,205 760 1,620 (a) Construct a scatterplot of the data. A scatterplot has 9 points. The horizontal axis is labeled "x" and ranges from approximately 0 to 900. The vertical axis is labeled "y" and ranges from 0 to 4,000. The points are plotted from left to right in a horizontal band, starting from the middle left of the diagram. The points are somewhat scattered, becoming more scattered from left to right, and are between the approximate horizontal axis values of 10 and 820 and between the approximate vertical axis values of 100 and 2,000. A scatterplot has 9 points. The horizontal axis is labeled "x" and ranges from approximately 0 to 900. The vertical axis is labeled "y" and ranges from 0 to 4,000. The points are plotted from left to right in a downward, diagonal direction starting from the upper left corner of the diagram. The points are somewhat scattered, becoming less scattered from left to right, and are between the approximate horizontal axis values of 10 and 820 and between the approximate vertical axis values of 0 and 3,700. A scatterplot has 9 points. The horizontal axis is labeled "x" and ranges from approximately 0 to 900. The vertical axis is labeled "y" and ranges from 0 to 4,000. The points are plotted from left to right in an upward, diagonal direction starting from the lower left corner of the diagram. The points are somewhat scattered, becoming more scattered from left to right, and are between the approximate horizontal axis values of 10 and 820 and between the approximate vertical axis values of 0 and 3,700. A scatterplot has 9 points. The horizontal axis is labeled "x" and ranges from approximately 0 to 900. The vertical axis is labeled "y" and ranges from 0 to 4,000. The points are plotted from left to right in an upward, diagonal direction starting from the lower left corner of the diagram. The points have very little scatter and are between the approximate horizontal axis values of 10 and 820 and between the approximate vertical axis values of 0 and 2,900. Describe the scatterplot. There is a ---Select--- linear relationship between user fees collected and operating costs. (b) Find the equation of the least squares regression line (the equation of the best fit line). Hint: use Excel to perform calculations with larger datasets. (Round your answers to three decimal places.) ŷ = + x (c) Is the slope of the least squares regression line positive or negative? Is this consistent with your description in part (a)? The slope is positive, which is consistent with the description in part (a). The slope is positive, which is not consistent with the description in part (a). The slope is negative, which is not consistent with the description in part (a). The slope is negative, which is consistent with the description in part (a). (d) Based on the scatterplot, do you think that the correlation coefficient for this data set would be less than 0.5 or greater than 0.5? Explain. The correlation coefficient would be less than 0.5, because the relationship appears weak. The correlation coefficient would be greater than 0.5, because the relationship appears weak. 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 moderate or strong. The correlation coefficient would be less than 0.5, because the values are not all colinear.
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 (thousands of dollars) Operating Costs (thousands of dollars) 17 99 74 363 811 3,618 380 1,377 33 241 427 768 500 1,034 734 2,205 760 1,620 (a) Construct a scatterplot of the data. A scatterplot has 9 points. The horizontal axis is labeled "x" and ranges from approximately 0 to 900. The vertical axis is labeled "y" and ranges from 0 to 4,000. The points are plotted from left to right in a horizontal band, starting from the middle left of the diagram. The points are somewhat scattered, becoming more scattered from left to right, and are between the approximate horizontal axis values of 10 and 820 and between the approximate vertical axis values of 100 and 2,000. A scatterplot has 9 points. The horizontal axis is labeled "x" and ranges from approximately 0 to 900. The vertical axis is labeled "y" and ranges from 0 to 4,000. The points are plotted from left to right in a downward, diagonal direction starting from the upper left corner of the diagram. The points are somewhat scattered, becoming less scattered from left to right, and are between the approximate horizontal axis values of 10 and 820 and between the approximate vertical axis values of 0 and 3,700. A scatterplot has 9 points. The horizontal axis is labeled "x" and ranges from approximately 0 to 900. The vertical axis is labeled "y" and ranges from 0 to 4,000. The points are plotted from left to right in an upward, diagonal direction starting from the lower left corner of the diagram. The points are somewhat scattered, becoming more scattered from left to right, and are between the approximate horizontal axis values of 10 and 820 and between the approximate vertical axis values of 0 and 3,700. A scatterplot has 9 points. The horizontal axis is labeled "x" and ranges from approximately 0 to 900. The vertical axis is labeled "y" and ranges from 0 to 4,000. The points are plotted from left to right in an upward, diagonal direction starting from the lower left corner of the diagram. The points have very little scatter and are between the approximate horizontal axis values of 10 and 820 and between the approximate vertical axis values of 0 and 2,900. Describe the scatterplot. There is a ---Select--- linear relationship between user fees collected and operating costs. (b) Find the equation of the least squares regression line (the equation of the best fit line). Hint: use Excel to perform calculations with larger datasets. (Round your answers to three decimal places.) ŷ = + x (c) Is the slope of the least squares regression line positive or negative? Is this consistent with your description in part (a)? The slope is positive, which is consistent with the description in part (a). The slope is positive, which is not consistent with the description in part (a). The slope is negative, which is not consistent with the description in part (a). The slope is negative, which is consistent with the description in part (a). (d) Based on the scatterplot, do you think that the correlation coefficient for this data set would be less than 0.5 or greater than 0.5? Explain. The correlation coefficient would be less than 0.5, because the relationship appears weak. The correlation coefficient would be greater than 0.5, because the relationship appears weak. 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 moderate or strong. The correlation coefficient would be less than 0.5, because the values are not all colinear.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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
(thousands of dollars) Operating Costs
(thousands of dollars)
17 99
74 363
811 3,618
380 1,377
33 241
427 768
500 1,034
734 2,205
760 1,620
(a)
Construct a scatterplot of the data.
A scatterplot has 9 points.
The horizontal axis is labeled "x" and ranges from approximately 0 to 900.
The vertical axis is labeled "y" and ranges from 0 to 4,000.
The points are plotted from left to right in a horizontal band, starting from the middle left of the diagram.
The points are somewhat scattered, becoming more scattered from left to right, and are between the approximate horizontal axis values of 10 and 820 and between the approximate vertical axis values of 100 and 2,000.
A scatterplot has 9 points.
The horizontal axis is labeled "x" and ranges from approximately 0 to 900.
The vertical axis is labeled "y" and ranges from 0 to 4,000.
The points are plotted from left to right in a downward, diagonal direction starting from the upper left corner of the diagram.
The points are somewhat scattered, becoming less scattered from left to right, and are between the approximate horizontal axis values of 10 and 820 and between the approximate vertical axis values of 0 and 3,700.
A scatterplot has 9 points.
The horizontal axis is labeled "x" and ranges from approximately 0 to 900.
The vertical axis is labeled "y" and ranges from 0 to 4,000.
The points are plotted from left to right in an upward, diagonal direction starting from the lower left corner of the diagram.
The points are somewhat scattered, becoming more scattered from left to right, and are between the approximate horizontal axis values of 10 and 820 and between the approximate vertical axis values of 0 and 3,700.
A scatterplot has 9 points.
The horizontal axis is labeled "x" and ranges from approximately 0 to 900.
The vertical axis is labeled "y" and ranges from 0 to 4,000.
The points are plotted from left to right in an upward, diagonal direction starting from the lower left corner of the diagram.
The points have very little scatter and are between the approximate horizontal axis values of 10 and 820 and between the approximate vertical axis values of 0 and 2,900.
Describe the scatterplot.
There is a
---Select---
linear relationship between user fees collected and operating costs.
(b)
Find the equation of the least squares regression line (the equation of the best fit line). Hint: use Excel to perform calculations with larger datasets. (Round your answers to three decimal places.)
ŷ =
+
x
(c)
Is the slope of the least squares regression line positive or negative? Is this consistent with your description in part (a)?
The slope is positive, which is consistent with the description in part (a).
The slope is positive, which is not consistent with the description in part (a).
The slope is negative, which is not consistent with the description in part (a).
The slope is negative, which is consistent with the description in part (a).
(d)
Based on the scatterplot, do you think that the correlation coefficient for this data set would be less than 0.5 or greater than 0.5? Explain.
The correlation coefficient would be less than 0.5, because the relationship appears weak.
The correlation coefficient would be greater than 0.5, because the relationship appears weak.
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 moderate or strong.
The correlation coefficient would be less than 0.5, because the values are not all colinear.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 6 steps with 4 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman