MATH 302 Week 7 Knowledge Check Homework Practice Questions

Week 7 Knowledge Check Homework Practice Questions Return to Assessment List Part 1 of 9 - Linear Regression and Correlation 2.0/ 2.0 Points Question 1 of 20 Due to erosion, a river shoreline is losing several thousand pounds of soil each year. A linear equation that expresses the total amount of soil lost per year is y = 12,000x. How many pounds of soil does the shoreline lose in a year? Answer: 12000 1.0/ 1.0 Points Answer Key: 12000 Feedback: The slope is 12,000. The change in the slope impacts the linear equation. Since the slope is 12,000 and this is the change in the line, the shoreline will lose 12,000 pounds of soil each year. Question 2 of 20 Which of the following equations are linear? • A. 4y=8 • B. y2=6x3+8 • C. 3y=6x+5y2 • D. y-x=8x2 1.0/ 1.0 Points Answer Key: A Feedback: A linear equation is a linear line. If a problem has a squared or a cubed term, it isn't linear. It is a quadratic equation. Part 2 of 9 - Multiple Linear Regression 2.0/ 4.0 Points Question 3 of 20 You decided to join a fantasy Baseball league and you think the best way to pick your players is to look at their Batting Averages. 0.0/ 1.0 Points You want to use data from the previous season to help predict Batting Averages to know which players to pick for the upcoming season. You want to use Runs Score, Doubles, Triples, Home Runs and Strike Outs to determine if there is a significant linear relationship for Batting Averages. You collect data to, to help estimate Batting Average, to see which players you should choose. You collect data on 45 players to help make your decision. x1 = Runs Score/Times at Bat x2 = Doubles/Times at Bat x3 = Triples/Times at Bat x4 = Home Runs/Times at Bat x5= Strike Outs/Times at Bat Interpret the slope(s) of the significant predictors for Batting Average (if there are any). See Attached Excel for Data. Baseball 10 KB • A. When you hold Double, Triples, Home Runs and Strike Outs constant, as Runs Score increases by 1, your Batting Average will increase by .447/Times at Bat. • When you hold Runs Score, Triples, Home Runs and Strike Outs constant, as Doubles increases by 1, your Batting Average will increase by .991/Times at Bat. When you hold Runs Score, Doubles, Triples, and Home Runs constant, as Strike Outs increase by 1, your Batting Average will decrease by .285/Times at Bat. • B. When you hold Double, Triples, Home Runs and Strike Outs constant, as Runs Score increases by 1, your Batting Average will increase by .109/Times at Bat. When you hold Runs Score, Triples, Home Runs and Strike Outs constant, as Doubles increases by 1, your Batting Average will increase by .313/Times at Bat. When you hold Runs Score, Doubles, Triples, and Home Runs constant, as Strike Outs increase by 1, your Batting Average will decrease by .052/Times at Bat. • C. There are no significant predictors. • D. When you hold Double, Triples, Home Runs and Strike Outs constant, as Runs Score increases by 1, your Batting Average will increase by .225/Times at Bat. When you hold Runs Score, Triples, Home Runs and Strike Outs constant, as Doubles increases by 1, your Batting Average will increase by .358/Times at Bat. When you hold Runs Score, Doubles, Triples, and Home Runs constant, as Strike Outs increase by 1, your Batting Average will decrease by .389/Times at Bat. Answer Key: A Feedback: You can run a Multiple Linear Regression in Excel using the Data Analysis ToolPak. Data -> Data Analysis -> Scroll to Regression