linear regression application, interpolation, extrapolation

Question

The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states.

�	11.3	8.1	6.6	3.8	2.9	2.6	2.2	0.4
�	13.6	11.1	9.9	7.3	6.4	6.1	5.7	4.1

x = thousands of automatic weapons

y = murders per 100,000 residentsUse 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 3.1 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 places.

Answer 1

Determine the regression equation in y = ax + b form and write it below.

y=0.88x+3.84

A) How many murders per 100,000 residents can be expected in a state with 3.1 thousand automatic weapons

answer: 6.580

B) How many murders per 100,000 residents can be expected in a state with 3.2 thousand automatic weapons

answer: 6.668