A chemical engineer studied the relationship between production quality and cost, the results as shown in the table below: Use X – test to find out whether there is an association between production quality and cost ? production quality cost 1 2 3 4 1 60 25 15 10 66 32 13 3. 120 40 25 15

The following data represents the winning percentage (the number of wins out of 162 games in a season) as well as the teams Earned Run Average, or ERA.The ERA is a pitching statistic. The lower the ERA, the less runs an opponent will score per game. Smaller ERA's reflect (i) a good pitching staff and (ii) a good team defense. You are to investigate the relationship between a team's winning percentage - Y, and its Earned Run Average (ERA) - X. Winning Proportion - Y Earned Run Average (ERA) - X 0.623457 3.13 0.512346 3.97 0.635802 3.68 0.604938 3.92 0.518519 4.00 0.580247 4.12 0.413580 4.29 0.407407 4.62 0.462963 3.89 0.450617 5.20 0.487654 4.36 0.456790 4.91 0.574047 3.75 (b) Use R-Studio to find the least squares estimate of the linear model that expressed a teams winning percentage as a linear function of is ERA. Use four decimals in each of your answers.Y^i = ? + - Xi(e) A certain professional baseball team had an earned run average of 3.45 this past…

The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. X Y 11.4 8.4 6.6 13.7 11 9.3 X = thousands of automatic weapons y = murders per 100,000 residents 3.7 7.5 This data can be modeled by the equation y = Answer = 2.4 2.6 2.4 0.4 6.3 5.9 6.2 4.1 to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. Answer = 0.84x +4.01. Use this equation A) How many murders per 100,000 residents can be expected in a state with 6.2 thousand automatic weapons? Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 6.9 thousand automatic weapons? Round to 3 decimal places.

The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. X Y 11.4 8.6 7.2 3.6 13.5 11.3 10.1 x = thousands of automatic weapons y = murders per 100,000 residents 2.4 2.8 2.3 0.9 7 6.1 6.6 5.9 4.7 This data can be modeled by the equation y = 0.83x +4.06. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. Answer = A) How many murders per 100,000 residents can be expected in a state with 2.7 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 11 thousand automatic weapons? Round to 3 decimal places.