Question

The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. * y 11.7 14.1 8 10.6 6.8 10.1 3.7 7.2 2.5 6. 3 2.4 6 2.2 6 0.8 4.6 = thousands of automatic weapons y-murders per 100,000 residents Determine the regression equation in y - ax + b form and write it below. (Round to 2 decimal places) A) How many murders per 100,000 residents can be expected in a state with 6.7 thousand automatic weapons? Answer - Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 8.1 thousand automatic weapons? Answer = Round to 3 decimal places.

lists steps for TI-84 calculator.

Answer 1

The required regression equation is :

$\hat{y} = 4.03+0.86x$

Steps:

Go to stat -> enter X values under L1 -> enter Y values under L2 -> again click stat -> go to CALC -> go to the 4 th option of linear regression LinReg(aX+b) -> X_list =L1 -> Y_list = L2 (It may be given ther by default ) -> just skip other options and go to Calculate and you will get the result .

A) predicted number of murders = 4.03 + 0.86*6.7 = 9.792

B) predicted number of murders = 4.03 + 0.86*8.1 = 10.996

(this shoul be calculated manually using the calculator as above.)