On the following scatter diagram of the blue sample points (circle symbol), use the orange points (square symbol) to plot the regression line. Makesure that the orange line spans the entire graph (from left to right). A line segment will automatically connect the points.NUMBER OF ATTEMPTS109810 &0OOO3NUMBER OF TREATSO-0-Regression LineUse 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 wouldbeThe head dolphin trainer is pressuring you to teach the dolphins many new tricks quickly. She has asked you to use the least-squares regression lineto 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 0attempts 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 9treats. 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 learnto perform the tricks.Dolphin Number of TreatsDiana3Frederick2Fatima4MarlinÝ=bX+aYou can use the preceding sample data to obtain the regression line, where Ỹ is the predicted value of Y:bSP =1One formula for the slope of the regression line is as follows:To calculate the slope, first calculate SP and SS:Number of Attempts56and SSx =FatimaMarlin(Hint: For SP use the computational formula and for SS, use the definitional formula.)Dolphin Number of TreatsDiana3Frederick24The slope of the regression line isThe 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.1and the Y intercept of the regression line is58Number of Attemptsin 10 in co5658Predicted Y (Y)Residual

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Accepted Answer

From given data:
n1=4,
Mean of Number of treats x¯=∑xin1=104=2.5
also,
n2=4,
Mean of Number of…