
Concept explainers
a.
Sketch a graph of the regression line.
a.

Answer to Problem 10PPS
Explanation of Solution
Given information:
The table at the right shows the relationship between the number of students in a mathematics class and the average grade for each class.
Make a
Calculation:
Consider the table provided in the textbook which shows the relationship between the number of students in a mathematics class and the average grade of each class.
Make a scatter plot for the data using
First press STAT key. Then select option 1 for the list editor and press ENTER.
Enter the value of
Press WINDOW key and set the viewing window to fit the data.
Press 2nd key and then MODE, to quit list editor. Now, press 2nd key followed by
Press ENTER to get the stat plot in ON mode. Then scroll down, select scatter and press ENTER. Then press ENTER corresponding to
Press ZOOM key followed by the key
Enter the values for
Enter
Press ENTER to get the value of
Hence the equation for line of regression is
Enter the values for
Press 2nd key and then MODE, to quit list editor. Now, press 2nd key followed by
Press ENTER to get the stat plot in ON mode. Then scroll down, select line of regression and
Press ENTER. Then press ENTER corresponding to
Press zoom key followed by the key 9, to display the graph of a linear regression.
b.
What is the
b.

Answer to Problem 10PPS
Explanation of Solution
Given information:
The table at the right shows the relationship between the number of students in a mathematics class and the average grade for each class.
What is the
Calculation:
To calculate the correlation coefficient, press 2nd key and the 0 key to enter your calculator’s catalog. Scroll until you see “diagnostics ON”.
Press ENTER until the calculator screen says “Done”
Enter the values for
Then press 2nd key and then MODE, to quit list editor. Now press STAT key and choose CALC and select option 4 to obtain the correlation coefficient.
Enter
Press ENTER to get the correlation coefficient.
Hence, the correlation coefficient of the data is
c.
How accurate is the regression equation.
c.

Answer to Problem 10PPS
The average grade for the class decreases by about
Explanation of Solution
Given information:
The table at the right shows the relationship between the number of students in a mathematics class and the average grade for each class.
Describe the correlation? How accurate is the regression equation.
Calculation:
Consider the equation for line of regression.
It can be interpolated from the slope of regression line that the average grade for the class decreases by about
Hence, the average grade for the class decreases by about
Chapter 2 Solutions
Algebra 2
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