Suppose you are a dolphin trainer at SeaWorld. You teach the dolphins by rewarding them with treats after each successful attempt at a new trick. The following table lists the dolphins, the number of treats per success given to each, and the average number of attempts necessary for each to learn to perform the tricks. Dolphin Number of Treats Number of Attempts Diana 2 4 1 3 Frederick Fatima Marlin You can use the preceding sample data to obtain the regression line, where Ŷ is the predicted va of Y: Y = bX + a One formula for the slope of the regression line is as follows: b = SP = To calculate the slope, first calculate SP and SSx: 8587 and SSx = Y. (Hint: For SP use the computational formula and for SSx use the definitional formula.) The slope of the regression line is I Frederick Fatima Marlin and the Y intercept of the regression line is The difference between Y and Ŷ 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. Dolphin Number of Treats Number of Attempts Predicted Y (Ŷ) Residual Diana 2 8 4 5 1 8 3 7 On the following scatter diagram of the blue sample points (circle symbol), use the orange point (square symbol) to plot the regression line. Make sure that the orange line spans the entire grap (from left to right). A line segment will automatically connect the points.
Suppose you are a dolphin trainer at SeaWorld. You teach the dolphins by rewarding them with treats after each successful attempt at a new trick. The following table lists the dolphins, the number of treats per success given to each, and the average number of attempts necessary for each to learn to perform the tricks. Dolphin Number of Treats Number of Attempts Diana 2 4 1 3 Frederick Fatima Marlin You can use the preceding sample data to obtain the regression line, where Ŷ is the predicted va of Y: Y = bX + a One formula for the slope of the regression line is as follows: b = SP = To calculate the slope, first calculate SP and SSx: 8587 and SSx = Y. (Hint: For SP use the computational formula and for SSx use the definitional formula.) The slope of the regression line is I Frederick Fatima Marlin and the Y intercept of the regression line is The difference between Y and Ŷ 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. Dolphin Number of Treats Number of Attempts Predicted Y (Ŷ) Residual Diana 2 8 4 5 1 8 3 7 On the following scatter diagram of the blue sample points (circle symbol), use the orange point (square symbol) to plot the regression line. Make sure that the orange line spans the entire grap (from left to right). A line segment will automatically connect the points.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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