Linear Regression Application, Interpolation and ExtrapolationUse the data and story to answer the following questionsThe table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states.

x

x

11.48.46.83.62.82.62.70.4y

y

13.811.510.17.36.766.64.6

x

x

= thousands of automatic weapons

y

y

= murders per 100,000 residentsUse your calculator to determine the equation of the regression line. (Round to 1 decimal places)

Determine the regression equation in

y

=

m

x

+

b

y

^

=

m

x

+

b

form and write it below.

y

=

y

^

=

A) How many murders per 100,000 residents can be expected in a state with 6.2 thousand automatic weapons?

Answer =Round to the nearest whole number.B) How many murders per 100,000 residents can be expected in a state with 2.1 thousand automatic weapons?

Answer =Round to the nearest whole number.