336. The table at right shows how many seconds are needed for a stone to fall...

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336. The table at right shows how many seconds are needed for a stone to fall to earth from various heights (measured in meters). Make a scatter plot of this data. Explain how the data suggests that the underlying relationship is not linear. (a) Calculate the squares of the times and enter them in a third column. A scatter plot of the relation between the first and third columns does suggest a linear relationship. Use LinReg to find it, letting stand for height and y stand for the square of the time. (b) It is now easy to write a nonlinear relation between h and t by ex- pressing t in terms of h. Use this equation to extrapolate how long it will take for a stone to fall from a height of 300 meters. Is this a reasonable prediction? height 10 20 30 40 50 60 70 80 90 100 time 1.42 2.01 2.46 2.85 3.18 3.49 3.76 4.02 4.27 4.50 336. The table at right shows how many seconds are needed for a stone to fall to earth from various heights (measured in meters). Make a scatter plot of this data. Explain how the data suggests that the underlying relationship is not linear. (a) Calculate the squares of the times and enter them in a third column. A scatter plot of the relation between the first and third columns does suggest a linear relationship. Use LinReg to find it, letting stand for height and y stand for the square of the time. (b) It is now easy to write a nonlinear relation between h and t by ex- pressing t in terms of h. Use this equation to extrapolate how long it will take for a stone to fall from a height of 300 meters. Is this a reasonable prediction? height 10 20 30 40 50 60 70 80 90 100 time 1.42 2.01 2.46 2.85 3.18 3.49 3.76 4.02 4.27 4.50

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The image presents a math problem that asks the student to analyze a set of data given in a table The table contains two columns heights from which a ... View the full answer