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To calculate the slope, first calculate SP and SS: SP= , and SS₂ = (Hint: For SP use the computational formula and for SS, use the definitional formula.) The slope of the regression line is and the Y intercept of the regression line is The difference between Y and Ÿ 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 Diana 3 Frederick 2 Fatima 4 Marlin 1 Number of Attempts 5 6 5 8 Predicted Y (Y) Residual

To calculate the slope, first calculate SP and SS: SP= , and SS₂ = (Hint: For SP use the computational formula and for SS, use the definitional formula.) The slope of the regression line is and the Y intercept of the regression line is The difference between Y and Ÿ 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 Diana 3 Frederick 2 Fatima 4 Marlin 1 Number of Attempts 5 6 5 8 Predicted Y (Y) Residual

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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On the following scatter diagram 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 9 8 1 0 & 0 O O O 3 NUMBER OF TREATS O -0- Regression Line 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 The head dolphin trainer is pressuring you to teach the dolphins many new tricks quickly. She has asked you to use the least-squares regression line to predict how fast the dolphins can learn tricks if you were to give them 9 treats. Which of the following is the most appropriate response? The regression line predicts that the dolphins will need -0.5 attempts to learn a trick if they are given 9 treats. O The regression line predicts that the dolphins will need 5.5 attempts to learn a trick if they are given 9 treats. Since the regression line predicts that the dolphins will need a negative number of attempts, you can assume the dolphins need 0 attempts if given 9 treats. O The regression line was estimated using 1 to 4 treats and should not be used to predict what would happen if the dolphins were given 9 treats.
Transcribed Image Text:On the following scatter diagram 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 9 8 1 0 & 0 O O O 3 NUMBER OF TREATS O -0- Regression Line 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 The head dolphin trainer is pressuring you to teach the dolphins many new tricks quickly. She has asked you to use the least-squares regression line to predict how fast the dolphins can learn tricks if you were to give them 9 treats. Which of the following is the most appropriate response? The regression line predicts that the dolphins will need -0.5 attempts to learn a trick if they are given 9 treats. O The regression line predicts that the dolphins will need 5.5 attempts to learn a trick if they are given 9 treats. Since the regression line predicts that the dolphins will need a negative number of attempts, you can assume the dolphins need 0 attempts if given 9 treats. O The regression line was estimated using 1 to 4 treats and should not be used to predict what would happen if the dolphins were given 9 treats.
Suppose you are a dolphin trainer at SeaWorld. You teach the dolphins by rewarding them with fish 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 Diana 3 Frederick 2 Fatima 4 Marlin Ý=bX+a You can use the preceding sample data to obtain the regression line, where Ỹ is the predicted value of Y: b SP = 1 One formula for the slope of the regression line is as follows: To calculate the slope, first calculate SP and SS: Number of Attempts 5 6 and SSx = Fatima Marlin (Hint: For SP use the computational formula and for SS, use the definitional formula.) Dolphin Number of Treats Diana 3 Frederick 2 4 The slope of the regression line is The difference between Y and Ỹ 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. 1 and the Y intercept of the regression line is 5 8 Number of Attempts in 10 in co 5 6 5 8 Predicted Y (Y) Residual
Transcribed Image Text:Suppose you are a dolphin trainer at SeaWorld. You teach the dolphins by rewarding them with fish 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 Diana 3 Frederick 2 Fatima 4 Marlin Ý=bX+a You can use the preceding sample data to obtain the regression line, where Ỹ is the predicted value of Y: b SP = 1 One formula for the slope of the regression line is as follows: To calculate the slope, first calculate SP and SS: Number of Attempts 5 6 and SSx = Fatima Marlin (Hint: For SP use the computational formula and for SS, use the definitional formula.) Dolphin Number of Treats Diana 3 Frederick 2 4 The slope of the regression line is The difference between Y and Ỹ 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. 1 and the Y intercept of the regression line is 5 8 Number of Attempts in 10 in co 5 6 5 8 Predicted Y (Y) Residual
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