If the equation of the regression line for hours, xx, spent cycling in the summer and hours, yy, spent working in the summer is y=38−0.77xy=38-0.77x . Then as the number of cycling hours increases, the number of work hours tends to decrease. a. What is the best prediction for the number of hours someone works in the summer who does not cycle? b. What is the best prediction for the number of hours someone works in the summer who cycles 8 hours per week? c. What is the best prediction for the number of hours someone works in the summer who cycles 15 hours per week?
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.
If the equation of the regression line for hours, xx, spent cycling in the summer and hours, yy, spent working in the summer is y=38−0.77xy=38-0.77x . Then as the number of cycling hours increases, the number of work hours tends to decrease.
a. What is the best prediction for the number of hours someone works in the summer who does not cycle?
b. What is the best prediction for the number of hours someone works in the summer who cycles 8 hours per week?
c. What is the best prediction for the number of hours someone works in the summer who cycles 15 hours per week?
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