Study = number of hours spent studying for an exam Grade = grade on the exam Grade^ = 41.0+3.9(Study) The data point is a student who studied 10 hours and received an 81 on the exam. (a) Find the predicted value for the data point and compute the residual. Enter the exact answers. Predicted value= Residual= (b) Interpret the slope in context. Given a one hour increase in study time, expected grade will be 3.9. Given a one hour increase in study time, expected change in Grade is 3.9. Given a one point increase in Grade, expected change in Study time is 3.9 hours. (c) Does the intercept make sense in this context? Yes No
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.
Chapter 2, Section 6, Exercise 203Two variables are defined, a regression equation is given, and one data point is given.
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