Sheet 5 a. Construct two (two) scatter diagram for: i. GDP (Independent variable) and unemployment (dependent variable) ii. Unemployment (independent variable) and Inflation (dependent variable) b. Showing all workings, find the regression lines for: GDP and unemployment unemployment and inflation i. ii. c. Plot the two regression lines, inclusive of regression equation and coefficient of determination (R²2), on the scatter diagrams of part a.

The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x 11.3 8.5 y 13.4 7 3.6 2.6 2.2 2.6 0.8 11 10.2 7.4 6 5.7 6.3 4.9 * = 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 10.1 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 9.9 thousand automatic weapons? Answer = Round to 3 decimal places.

1. In a manufacturing process the assembly line speed (feet per minute) was thought to affect the number of defective parts found during the impaction process. To test this theory, managers devised a situation in which the same batch of parts was inspected visually at a variety of line speeds. They collected the following data. Line Speed (x) Number of Defective Parts Found (y) 20 21 20 19 40 15 30 16 60 14 40 17 Use Microsoft Excel to generate regression output for this problem and use the information in the output to answer the following questions.

In the graph shown below consider the horizontal line to represent the average y value for the data set and the slant line to represent the linear regression equation. use only the graph of the data to do the following: