Heptathlon 2004 again We saw the data for the wom-en’s 2004 Olympic heptathlon in Exercise 63. Are the two jumping events associated? Perform a regressionof the long-jump results on the high-jump results.a) What is the regression equation? What does the slopemean?b) What percentage of the variability in long jumps canbe accounted for by high-jump performances?c) Do good high jumpers tend to be good long jumpers?d) What does the residuals plot reveal about the model?e) Do you think this is a useful model? Would you useit to predict long-jump performance? (Compare theresidual standard deviation to the standard deviationof the long jumps.)
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.
en’s 2004 Olympic heptathlon in Exercise 63. Are the
of the long-jump results on the high-jump results.
a) What is the regression equation? What does the slope
mean?
b) What percentage of the variability in long jumps can
be accounted for by high-jump performances?
c) Do good high jumpers tend to be good long jumpers?
d) What does the residuals plot reveal about the model?
e) Do you think this is a useful model? Would you use
it to predict long-jump performance? (Compare the
residual standard deviation to the standard deviation
of the long jumps.)
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