Use linear interpolation to estimate the life expectancy of a person born in 1955.Use a line of best fit to estimate the life expectancy of a person born in 1955.Use the Life Expectancy table below to answer the questions. Using the Water Level data, use interpolation to determine the height of the water at 17 seconds.What is linear modeling? What are the options to determine a linear model?.To find the value at 15 seconds, connect points (14, 21.9) and (16, 17.1) and find the equation of the straight line. As you can see below, a straight line does not fit the majority of this data. Solution Water Level in Cylinder at Various Times Time (seconds)īegin by graphing the scatter plot. The table below shows the height of the water level in the cylinder at different times. The water is drained through a hole in the bottom of the cylinder and measurements are taken at two-second intervals. The equation y=3.14x+0.42 of the relationship between diameter and circumference from the first problem applies here.ĭiameter=60 inches⇒y=3.14(60)+0.42=188.82 inchesĪ circle with a diameter of 60 inches will have a circumference that is approximately 188.82 inches.Ī cylinder is filled with water to a height of 73 centimeters.
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