Modeling jumps 2012 Here are the summary statisticsfor the Olympic long jumps and high jumps displayed inthe previous exercise. Event Mean StdDevHigh Jump 2.148 0.1939Long Jump 8.05 0.5136Correlation = 0.9125 a) Write the equation of the line of regression for esti-mating High Jump from Long Jump. b) Interpret the slope of the line.c) In a year when the long jump is 8.9 m, what high jumpwould you predict?d) Why can’t you use this line to estimate the longjump for a year when you know the high jump was2.25 m?e) Write the equation of the line you need to make thatprediction.
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.
for the Olympic long jumps and high jumps displayed in
the previous exercise.
High Jump 2.148 0.1939
Long Jump 8.05 0.5136
Correlation = 0.9125
mating High Jump from Long Jump.
c) In a year when the long jump is 8.9 m, what high jump
would you predict?
d) Why can’t you use this line to estimate the long
jump for a year when you know the high jump was
2.25 m?
e) Write the equation of the line you need to make that
prediction.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
