The data shows the heart rates of students from a Statistics class during the Spring 2008 semester. Students measures their heart rates (in beats per minute), then took a brisk walk and measured their heart rates again. before 86 62 52 90 66 80 78 74 before 58 64 74 76 56 72 72 68 after 98 70 56 110 76 96 86 84 after 128 74 106 84 96 82 78 90 (a) Find the regression equation on your Ti84+. Use correct notation. (b) What is the slope? Write a sent
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.
Exercise 2. The data shows the heart rates of students from a Statistics class during the Spring 2008 semester. Students measures their heart rates (in beats per minute), then took a brisk walk and measured their heart rates again.
before 86 62 52 90 66 80 78 74 before 58 64 74 76 56 72 72 68
after 98 70 56 110 76 96 86 84 after 128 74 106 84 96 82 78 90
(a) Find the regression equation on your Ti84+. Use correct notation.
(b) What is the slope? Write a sentence that gives the interpretation of the slope.
(c) What is the y-intercept? Write a sentence that gives the interpretation of the y-intercept.
(d) Is the y-intercept outside the scope of the model? Why or why not? Give a reason.
(e) Predict the heart rate after a brisk walk for someone who had a resting heart rate of 76 bpm.
(f) What is the residual for 76 bpm? Is the residual positive or negative? What does the sign tell us about the
predicted value?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
