Crimes: The number of murders and robberies per 100,000 population for a random selection of states is shown. We are asked the question: ""Is there a linear relationship between the variables?"
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From the given data, we can plot the number of murders and robberies per 10,000 population for each state on a graph. Show more…
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Linear Regression Application, Interpolation and Extrapolation Use the data and story to answer the following questions The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x: 11.7, 8.5, 6.9, 3.8, 2.5, 2.4, 2.3, 0.6 y: 14.1, 11.2, 9.6, 7.4, 5.9, 6.1, 5.7, 4.7 x = thousands of automatic weapons y = murders per 100,000 residents Use your calculator to determine the equation of the regression line. (Round to 2 decimal places) Determine the regression equation in y = b0 + bx(x) form and write it below. A) How many murders per 100,000 residents can be expected in a state with 3.4 thousand automatic weapons? Answer = Round to 4 decimal places. B) How many murders per 100,000 residents can be expected in a state with 3.9 thousand automatic weapons? Answer = Round to 4 decimal places.
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Linear Regression Application, Interpolation and Extrapolation Use the data and story to answer the following questions The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x | 11.8 | 8.3 | 7.2 | 3.7 | 2.4 | 2.7 | 2.6 | 0.3 y | 14.4 | 10.8 | 10.4 | 7.1 | 6.4 | 6.3 | 6.4 | 4.3 x = thousands of automatic weapons y = murders per 100,000 residents Use your calculator to determine the equation of the regression line. (Round to 2 decimal places) Determine the regression equation in y = ax + b form and write it below. A) How many murders per 100,000 residents can be expected in a state with 2 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 4.9 thousand automatic weapons? Answer = Round to 3 decimal places.
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