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:
State | Number of Automatic Weapons (thousands) | Murder Rate (per 100,000 residents)
------|----------------------------------------|-----------------------------------
A | 3.3 | 2.5
B | 2.2 |
C | | 13.8
Use your calculator to determine the equation of the regression line (Round to decimal places). Determine the regression equation in the form of y = mx + b and write it below.
A) How many murders per 100,000 residents can be expected in a state with 4.8 thousand automatic weapons? (Round to decimal places)
B) How many murders per 100,000 residents can be expected in a state with 2.0 thousand automatic weapons? (Round to decimal places)