Number of Number of Dolphin Treats Attempts Diana 8 Frederick 4 Fatima 8 Marlin 3 You can use the preceding sample data to obtain the regression line, where Ý is the predicted value of Y: Ý = bx + a The formula for the slope of the regression line is as follows: COVXY b = To calculate the slope, first calculate covxy and s: coV XY = , and s The slope of the regression line is and the Y intercept of the regression line is The difference between Y and Ý for a particular sample point (observation) is called a residual. Calculate the predicted Y (Y) for each of the dolphins, and then calculate the residuals. Number of Number of Dolphin Treats Attempts Predicted Y (Ý) Residual Diana 2 Frederick 4 Fatima Marlin On the following scatterplot of the blue sample points (circle symbol), use the orange points (square symbol) to plot the regression line. Make sure that the orange line spans the entire graph (from left to right). A line segment will automatically connect the points. NUMBER OF ATTEMPTS 10 Regression Line 3 2 5 NUMBER OF TREATS Clear All 2. Co
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.
Use the regression line to estimate the number of trials it would take to learn these tricks if a dolphin received five treats per trick. Y for X = 5 would be _________.
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