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 R) R= 0.997496 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? 3. Write the equation of the regression line for the data below. The equation is y= 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 ) when the principal The predicted salary for teachers is $ makes $139,723.
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 R) R= 0.997496 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? 3. Write the equation of the regression line for the data below. The equation is y= 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 ) when the principal The predicted salary for teachers is $ makes $139,723.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
Related questions
Concept explainers
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Question
100%
Transcribed Image Text:Principals 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)
77.8
43.7
78.4
43.8
Teachers y vs. Principals x
80.8
45.0
80.5
45.6
R= 0.997496
• Teachers y
- 0.587x+-2.05 R = 0.995
81.5
45.9
60.0
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
40.0
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
20.0
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.
0.0
80.0
85.0
90.0
95.0
(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 usex 82.5)
Principals x
when the principal
The predicted salary for teachers is $
makes $139,723.
Teachers y
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