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. ? 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 8 treats. Which of the following is the most appropriate response? 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 8 treats. 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 8 treats. The regression line predicts that the dolphins will need 5.5 attempts to learn a trick if they are given 8 treats. The regression line predicts that the dolphins will need -0.5 attempts to learn a trick if they are given 8 treats.
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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. Ŷ for X = 5 would be ______ . The head dolphin trainer wants to save money by cutting down on the number of treats the dolphins get. 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 zero treats when teaching new tricks. Which of the following is an appropriate response? 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 no treats. The regression line predicts that the dolphins will need 0 attempts to learn a trick if they are given no treats. The least-squares regression line was calculated using 1 to 4 treats and should not be used to predict what would happen if the dolphins were given no treats. The regression line predicts that the dolphins will need 12 attempts to learn a trick if they are given no treats.
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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. Ŷ 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 10 treats. Which of the following is the most appropriate response? 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 10 treats. The regression line predicts that the dolphins will need -0.5 attempts to learn a trick if they are given 10 treats. The regression line predicts that the dolphins will need 5.5 attempts to learn a trick if they are given 10 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 10 treats.
Rabia S.
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 | 6 Frederick | 4 | 5 Fatima | 1 | 8 Marlin | 3 | 5 You can use the preceding sample data to obtain the regression line, where Ŷ is the predicted value of Y: Ŷ = bX + a One formula for the slope of the regression line is as follows: b = SP/SSx SP = Σ(XY) - (ΣX)(ΣY)/n, and SSxx = Σ(X^2) - (ΣX)^2/n. (Hint: For SP use the computational formula and for SSxx 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 (Ŷ) for each of the dolphins, and then calculate the residuals. Dolphin | Number of Treats | Number of Attempts | Predicted Y (Ŷ) | Residual ------- | ---------------- | ----------------- | --------------- | -------- Diana | 2 | 6 | ______ | _____ Frederick | 4 | 5 | ________ | ______ Fatima | 1 | 8 | _________ | ______ Marlin | 3 | 5 | _________ | _______ 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. Ŷ 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 10 treats. Which of the following is the most appropriate response? a. 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 10 treats. b. 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 10 treats. c. The regression line predicts that the dolphins will need 5.5 attempts to learn a trick if they are given 10 treats. d. The regression line predicts that the dolphins will need -1.5 attempts to learn a trick if they are given 10 treats.
Sri K.
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