The data in the chart shows the maximum and corresponding resting heart rate of a healthy 20-year old man. Fit a regression line to the date. Then find the coefficient of correlation. Finally, use the regression line to predict the maximum heart rate for a resting heart rate of 41, 56, and 77. Resting 50 60 70 80 90 Maximum 169 172 172 176 176 A) Which is the correct regression line? a) y = 0.18x - 160.4 b) y = 0.18x + 160.4 c) y = 160.4 d) y = 160.4x + 0.18 What is the coefficient of correlation rounded to 3 decimal places? B) What is the predicted maximum heart rate for a resting heart rate of 41 (round to nearest integer)? What is the predicted maximum heart rate for a resting heart rate of 56 (round to nearest integer)? What is the predicted maximum heart rate for a resting heart rate of 77 (round to nearest integer)?
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.
The data in the chart shows the maximum and corresponding resting heart rate of a healthy 20-year old man. Fit a regression line to the date. Then find the coefficient of
| Resting | 50 | 60 | 70 | 80 | 90 |
| Maximum | 169 | 172 | 172 | 176 | 176 |
A) Which is the correct regression line?
a) y = 0.18x - 160.4
b) y = 0.18x + 160.4
c) y = 160.4
d) y = 160.4x + 0.18
What is the coefficient of correlation rounded to 3 decimal places?
B) What is the predicted maximum heart rate for a resting heart rate of 41 (round to nearest integer)?
What is the predicted maximum heart rate for a resting heart rate of 56 (round to nearest integer)?
What is the predicted maximum heart rate for a resting heart rate of 77 (round to nearest integer)?
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