Teachers y 1. Repeat the steps from tab #1 using this data to construct a scatter plot graph and calculate the correlation coefficient R. (Recall the correlation coefficient is R and not R2) Principals x 77.8 43.7 78.4 43.8 80.8 45.0 80.5 45.6 R=0.997497 81.5 45.9 2. Does the R value represent a positive, negative or no correlation between the salaries of the teachers and principals? As teacher salaries increase, what happens to prinicipal salaries? 84.8 48.2 87.7 49.3 91.6 51.3 93.6 52.9 3. Write the equation of the regression line for the data below. The equation is y= 95.7 54,4 95.7 54.2 4. Use the regression equation that you found in exercise #3 to predict the average annual salary of public school classroom teachers when the average annual salary of public school principals is $139,723. Show your work in the cells to the right. (Be careful when entering the x-value in the equation. The table shows numbers that have been adjusted in terms of the thousands. Example: if the salary is $82,500, then use x = 82.5 ) The predicted salary for teachers is $ when the principal makes $139,723.

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1. Repeat the steps from tab #1 using this data to construct a scatter plot graph and
calculate the correlation coefficient R. (Recall the correlation coefficient is R and not
R2)
Principals x Teachers y
77.8
43.7
78.4
43.8
80.8
45.0
80.5
45.6
R=0.997497
81.5
45.9
2. Does the R value represent a positive, negative or no correlation between the
salaries of the teachers and principals? As teacher salaries increase, what happens to
84.8
48.2
87.7
49.3
prinicipal salaries?
91.6
51.3
93.6
52.9
3. Write the equation of the regression line for the data below.
The equation is y=
95.7
54.4
95.7
54.2
4. Use the regression equation that you found in exercise #3 to predict the average
annual salary of public school classroom teachers when the average annual salary of
public school principals is $139,723. Show your work in the cells to the right.
(Be careful when entering the x-value in the equation. The table shows numbers that
have been adjusted in terms of the thousands. Example: if the salary is $82,500, then
use x= 82.5 )
The predicted salary for teachers is_$
when the principal makes $139,723.
Transcribed Image Text:1. Repeat the steps from tab #1 using this data to construct a scatter plot graph and calculate the correlation coefficient R. (Recall the correlation coefficient is R and not R2) Principals x Teachers y 77.8 43.7 78.4 43.8 80.8 45.0 80.5 45.6 R=0.997497 81.5 45.9 2. Does the R value represent a positive, negative or no correlation between the salaries of the teachers and principals? As teacher salaries increase, what happens to 84.8 48.2 87.7 49.3 prinicipal salaries? 91.6 51.3 93.6 52.9 3. Write the equation of the regression line for the data below. The equation is y= 95.7 54.4 95.7 54.2 4. Use the regression equation that you found in exercise #3 to predict the average annual salary of public school classroom teachers when the average annual salary of public school principals is $139,723. Show your work in the cells to the right. (Be careful when entering the x-value in the equation. The table shows numbers that have been adjusted in terms of the thousands. Example: if the salary is $82,500, then use x= 82.5 ) The predicted salary for teachers is_$ when the principal makes $139,723.
Teachers y
60.0
y 0.5873x-2.0507
50.0
R =0.995
40.0
R.
0.997497
30.0
20.0
10.0
0.0
0.0
20.0
40.0
60.0
80.0
100.0
120.0
Transcribed Image Text:Teachers y 60.0 y 0.5873x-2.0507 50.0 R =0.995 40.0 R. 0.997497 30.0 20.0 10.0 0.0 0.0 20.0 40.0 60.0 80.0 100.0 120.0
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