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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.

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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 6PPS
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Problem Set: Chapter 14 Correlation and Regression To calculate the slope, first calculate SP and SSx: SP = V and SS = (Hint: For SP use the computational formula and for SSx 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 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. Number of Treats Number of Attempts Residual Predicted Y (Y) Dolphin Diana 2 5 Frederick 4 4 Fatima 1 7 Marlin 3 4 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. 10 9 Regression Line 8
Transcribed Image Text:Problem Set: Chapter 14 Correlation and Regression To calculate the slope, first calculate SP and SSx: SP = V and SS = (Hint: For SP use the computational formula and for SSx 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 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. Number of Treats Number of Attempts Residual Predicted Y (Y) Dolphin Diana 2 5 Frederick 4 4 Fatima 1 7 Marlin 3 4 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. 10 9 Regression Line 8
K CENGAGE MINDTAP Problem Set: Chapter 14 Correlation and Regression 15. Computing the regression line and making predictions 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 Number of Attempts Diana 2 Frederick 4 4 Fatima 1 7 Marlin 3 4 You can use the preceding sample data to obtain the regression line, where Ŷ is the predicted value of Y: Y = bx + a One formula for the slope of the regression line is as follows: b = SP₁ To calculate the slope, first calculate SP and SSx: Q Search this course Ⓡ X
Transcribed Image Text:K CENGAGE MINDTAP Problem Set: Chapter 14 Correlation and Regression 15. Computing the regression line and making predictions 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 Number of Attempts Diana 2 Frederick 4 4 Fatima 1 7 Marlin 3 4 You can use the preceding sample data to obtain the regression line, where Ŷ is the predicted value of Y: Y = bx + a One formula for the slope of the regression line is as follows: b = SP₁ To calculate the slope, first calculate SP and SSx: Q Search this course Ⓡ X
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