A random sample of ten professional athletes produced the following data where x is the number of endorsements the player has and y is the amount of money made (in millions of dollars). a. Draw a scatter plot of the data. b. Use regression to find the equation for the line of best fit. c. Draw the line of best fit on the scatter plot. d. What is the slope of the line of best fit? What does it represent?
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.
A random sample of ten professional athletes produced the following data where x is the number of endorsements the player has and y is the amount of money made (in millions of dollars).
a. Draw a
b. Use regression to find the equation for the line of best fit.
c. Draw the line of best fit on the scatter plot.
d. What is the slope of the line of best fit? What does it represent?
e. What is the y-intercept of the line of best fit? What does it represent?
f. What does an r value of zero mean?
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