the number of rubber bands used and the distance, incentimeters, of her jump. When they created a scatterplotthe relationship appeared to be linear, and the correlationwas r = 0.996. After discussing these results, the teacherinstructed the students to convert the distances to inches.What effect will this have on the correlation between thetwo variables?a) Because 1 cm = 0.393701 inches, the correlationwill become .392126.b) Because 1 cm = 0.393701 inches, the correlationwill become 2.5298.c) Because only the length measurements have changed,the correlation will decrease substantially.d) Because changing from centimeters to inches doesnot affect the value of the correlation, the correlationwill remain 0.996. e) Because inches is a much more common measure-ment for distance in the United States, the relation-ship between the data will be stronger and thus the correlation will increase.
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.
centimeters, of her jump. When they created a scatterplot
the relationship appeared to be linear, and the
was r = 0.996. After discussing these results, the teacher
instructed the students to convert the distances to inches.
What effect will this have on the correlation between the
two variables?
a) Because 1 cm = 0.393701 inches, the correlation
will become .392126.
b) Because 1 cm = 0.393701 inches, the correlation
will become 2.5298.
c) Because only the length measurements have changed,
the correlation will decrease substantially.
d) Because changing from centimeters to inches does
not affect the value of the correlation, the correlation
will remain 0.996.
ment for distance in the United States, the relation-
ship between the data will be stronger and thus
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