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 1.0/ 2.0 Points Question 1 of 20 A vacation resort rents SCUBA equipment to certified divers. The resort charges an 0.0/ 1.0 Points up-front fee of $25 and another fee of $12.50 an hour. What is the dependent variable? • A. time • B. resort location • C. diver certification • D. fee amount Answer Key: D Feedback: The equation is Dollars = $12.5(hour) + $25 Dollars depends on how many hours you use the equipment for. Dollars is the dependent variable and time (in hours) is the independent variable. Question 2 of 20 Which of the following equations are linear? 1.0/ 1.0 Points • A. 8x3+4y2 • B. y=6x+8 • C. 3y=6x+5y2 • D. y-x=8x2 Answer Key: B 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 With Obesity on the rise, a Doctor wants to see if there is a linear relationship 1.0/ 1.0 Points between the Age and Weight and estimating a person's Systolic Blood Pressure. Is there a significant linear relationship between Age and Weight and a person's Systolic Blood Pressure? If so, what is/are the significant predictor(s) for Systolic Blood Pressure? See Attached Excel for Data. BP 9 KB • A. Yes, Age, p-value = 0.9388 > .05, Yes, Age is a significant predictor for Systolic BP Weight, p-value = 0 .3092 > .05, Yes Weight is a significant predictor for Systolic BP • B. No, Age, p-value = 0.9388 > .05, No, Age is not a significant predictor for Systolic BP Weight, p-value = 0 .3092 > .05, No, Weight is not a significant predictor for Systolic BP • • C. No, Age, p-value = 0. < .05, No, Age is not a significant predictor for Systolic BP Weight, p-value = 0. < .05, No, Weight is not a significant predictor for Systolic BP • D. Yes, Age, p-value = 0. < .05, Yes, Age is a significant predictor for Systolic BP Weight, p-value = 0. < .05, Yes Weight is a significant predictor for Systolic BP Answer Key: D Feedback: You can run a Multiple Linear Regression in Excel using the Data Analysis ToolPak. Data -> Data Analysis -> Scroll to Regression Highlight Systolic BP for the Y Input: Highlight Both Age and Weight columns for the X Input: Make sure you click on Labels and Click OK If done correctly then, The overall Significance F or p-value = .13112 Because the p-value < .05, Reject Ho. Yes, there is a significant relationship, but which variables are significant? In the ANOVA under the p-value column we see, Age, p-value = 0. < .05, Yes, Age is a significant predictor for Systolic BP Weight, p-value = 0. < .05, Yes Weight is a significant predictor for Systolic BP Question 4 of 20 With Obesity on the rise, a Doctor wants to see if there is a linear relationship 1.0/ 1.0 Points between the Age and Weight and estimating a person's Systolic Blood Pressure. Interpret the slope(s) of the significant predictors for Systolic BP (if there are any). See Attached Excel for Data. BP 9 KB • A. There are no significant predictors. • B. When you hold Weight constant, as Age increases by 1 year, your Systolic BP will increase by 4.0792 When you hold Age constant, as Weight increases by 1 pound, your Systolic BP will increase by 2.559 • C. When you hold Weight constant, as Age increases by 1 year, your Systolic BP will increase by 0.9388 When you hold Age constant, as Weight increases by 1 pound, your Systolic BP will increase by 0.3092 • D. When you hold Weight constant, as Age increases by 1 year, your Systolic BP will increase by 0.0013 When you hold Age constant, as Weight increases by 1 pound, your Systolic BP will increase by 0.0238