The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.6 8.3 7.1 3.9 2.7 2.5 2.5 0.3 yy 13.6 10.8 10.3 7.3 6 6.3 6 4.5 xx = thousands of automatic weapons yy = murders per 100,000 residents This data can be modeled by the equation ˆy=0.82x+4.09.y^=0.82x+4.09. Use this equation to answer the following. A) How many murders per 100,000 residents can be expected in a state with 4 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 3.2 thousand automatic weapons? Answer = Round to 3 decimal place

The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.6 8.3 7.1 3.9 2.7 2.5 2.5 0.3 yy 13.6 10.8 10.3 7.3 6 6.3 6 4.5 xx = thousands of automatic weapons yy = murders per 100,000 residents This data can be modeled by the equation ˆy=0.82x+4.09.y^=0.82x+4.09. Use this equation to answer the following. A) How many murders per 100,000 residents can be expected in a state with 4 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 3.2 thousand automatic weapons? Answer = Round to 3 decimal place

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 2AGP

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xx	11.6	8.3	7.1	3.9	2.7	2.5	2.5	0.3
yy	13.6	10.8	10.3	7.3	6	6.3	6	4.5

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If your graphing calculator is capable of computing a least-squares sinusoidal regression model, use it to find a second model for the data. Graph this new equation along with your first model. How do they compare?
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.7 8.4 7 3.8 2.7 2.3 2.5 0.3 yy 14.2 11.4 10.2 7.4 6.3 6.1 6 4 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation ˆy=0.89x+3.89.y^=0.89x+3.89. Use this equation to answer the following;Note: Verify this equation using your calculator.A) How many murders per 100,000 residents can be expected in a state with 2.8 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 8.5 thousand automatic weapons?Answer = Round to 3 decimal places.
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The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.6 8.3 6.9 3.4 2.3 2.6 2.3 0.7 yy 13.8 11 9.9 6.7 5.8 6.1 5.7 4.7 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation y=0.86x+3.89. Use this equation to answer the following;Special Note: I suggest you verify this equation by performing linear regression on your calculator.Use the equation with the values rounded to two decimal places to make your predictions.A) How many murders per 100,000 residents can be expected in a state with 1.7 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 5.7 thousand automatic weapons?Answer = Round to 3 decimal places.
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