(a)
To calculate: To make a
(a)
Answer to Problem 34SR
Scatter plot of data is created
Explanation of Solution
Given information: Table showing the latitude and average temperature in July for the various U.S.cities
City | Latitude ( | Average July High Temperature ( |
Chicago, IL | 41 | 73 |
Dallas, TX | 32 | 85 |
Denver, CO | 39 | 74 |
New York, NY | 40 | 77 |
Duluth, MN | 46 | 66 |
Formula Used:
Line of Best fit is a straight line that best represents the data on scatter plot. Line of fit must pass through some of the points, none of the points or all the points
Calculation:
Data is given as
City | Latitude ( | Average July High Temperature ( |
Chicago, IL | 41 | 73 |
Dallas, TX | 32 | 85 |
Denver, CO | 39 | 74 |
New York, NY | 40 | 77 |
Duluth, MN | 46 | 66 |
Scatter plot is created by graphing the above points:
Conclusion:
Hence, scatter plot and line of best fit is drawn
(b)
To calculate: To write and equation for the line of fit
(b)
Answer to Problem 34SR
Theequation of line of fit is
Explanation of Solution
Given information: Table showing the latitude and average temperature in July for the various U.S.cities
City | Latitude ( | Average July High Temperature ( |
Chicago, IL | 41 | 73 |
Dallas, TX | 32 | 85 |
Denver, CO | 39 | 74 |
New York, NY | 40 | 77 |
Duluth, MN | 46 | 66 |
Formula Used:
Equation of line passing through two points is given as
Slope intercept form of line is given as
Where,
Calculation:
Data is given as
City | Latitude ( | Average July High Temperature ( |
Chicago, IL | 41 | 73 |
Dallas, TX | 32 | 85 |
Denver, CO | 39 | 74 |
New York, NY | 40 | 77 |
Duluth, MN | 46 | 66 |
Consider the points on graph as follows:
Equation of line passing through above points is
Conclusion:
Hence, equation of line of fit is
(c)
To calculate: To estimate the average July high temperature for a location with latitude
(c)
Answer to Problem 34SR
Theaverage July high temperature for a location with latitude
Explanation of Solution
Given information: Table showing the latitude and average temperature in July for the various U.S.cities
City | Latitude ( | Average July High Temperature ( |
Chicago, IL | 41 | 73 |
Dallas, TX | 32 | 85 |
Denver, CO | 39 | 74 |
New York, NY | 40 | 77 |
Duluth, MN | 46 | 66 |
Calculation:
Equation of line of fit is given as follows:
Average July high temperature for a location with latitude
Conclusion:
Hence, the average July high temperature for a location with latitude
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