Concept explainers
a.
To draw: A
a.
Answer to Problem 11PPS
Explanation of Solution
Given:State fair :Refer to the beginning of the lesson, it gives the following table for the attendance at the state fair.
Calculation:
To graph a scatter plot of the data , wherex =1 represents 2005.then the table becomes,
Year x | 1 | 2 | 3 | 4 | 5 |
Attendance (millions) y | 1.633 | 1.681 | 1.682 | 1.693 | 1.790 |
To use the above data and a graphing calculator the linear regression equation is,
Graph this equation on scatterplot.
b.
To draw: A graph and analyze the residual plot.
b.
Answer to Problem 11PPS
The residuals are randomly scattered above and below the x -axis so the regression equation fits the data well. Regression model is a good fit for the data.
Explanation of Solution
Given:State fair :Refer to the beginning of the lesson, it gives the following table for the attendance at the state fair.
Calculation:
To graph a scatter plot of the data , wherex =1 represents 2005.then the table becomes,
Year x | 1 | 2 | 3 | 4 | 5 |
Attendance (millions) y | 1.633 | 1.681 | 1.682 | 1.693 | 1.790 |
To use the above data and a graphing calculator the linear regression equation is,
Graph the residuals plot. The residuals are randomly scattered above and below the x -axis so the regression equation fits the data well.
c.
To predict: The total attendance in 2025.
c.
Answer to Problem 11PPS
2.28 million people, Yes.
Explanation of Solution
Given:State fair :Refer to the beginning of the lesson, it gives the following table for the attendance at the state fair.
Calculation:
Conclusion:
2025 is 20 years after 2005 so we need to find y -value for x= 21(since x =1 represents 2005)on our graph of linear regression.
Put x= 21 in linear regression equation ,
So, the predicted attendance in 2005 is 2.28 million people. This prediction is reasonable since it is not drastically larger than the attendance in the table. The
Chapter 4 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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