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. * 11.5 y 13.8 11.4 2.8 2.3 2.2 0.5 8.3 6.7 9.5 6.8 6.7 5.8 5.6 4.5 3.4 * = 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 9.8 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 10.1 thousand automatic weapons?
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. * 11.5 y 13.8 11.4 2.8 2.3 2.2 0.5 8.3 6.7 9.5 6.8 6.7 5.8 5.6 4.5 3.4 * = 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 9.8 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 10.1 thousand automatic weapons?
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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.
11.5
8.3
6.7
3.4
2.8
2.3
2.2
0.5
13.8
11.4
9.5
6.8
6.7
5.8
5.6
4.5
x = thousands of automatic weapons
y = murders per 100,000 residents
%3D
%3D
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 9.8 thousand automatic
weapons?
Answer =
Round to 3 decimal places.
B) How many murders per 100,000 residents can be expected in a state with 10.1 thousand automatic
weapons?
Answer =
Round to 3 decimal places.
Check Answer
11
(4,467
>>>
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Expert Solution
Step 1
From given data,
| X | Y | X*Y | X*X |
| 11.5 | 13.8 | 158.7 | 132.25 |
| 8.3 | 11.4 | 94.62 | 68.89 |
| 6.7 | 9.5 | 63.65 | 44.89 |
| 3.4 | 6.8 | 23.12 | 11.56 |
| 2.8 | 6.7 | 18.76 | 7.84 |
| 2.3 | 5.8 | 13.34 | 5.29 |
| 2.2 | 5.6 | 12.32 | 4.84 |
| 0.5 | 4.5 | 2.25 | 0.25 |
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