We find that the correlation between math ability ( and musical aptitude (Y) is r = +.44. The standard error of the estimate is SY′ = 3.90. Bubbles has a math score of 60 and Foofy a score of 72. (a) Based on their math scores, who is predicted to have the higher music score and why? (b) What procedure would we use to predict their music scores? (c) If our predictions are wrong, what is the “average” amount we expect to be “off”? (d) How much smaller is this error than if we don't use math scores to predict music scores? (e) What is your answer in part (d) called?
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.
We find that the
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
