Question 4 Listen The MAPE of the linear regression method is 2.47% 6.78% 9.17% 2.63% 1 Year 2 3 4 5 6 7 8 9 10 11 12 13 14 A 15 16 17 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 B Sales 45 47 48 48 52 53 56 58 59 64 69 70 73 76 79 80 C
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- Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed actress/actor ages in various years, find the best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 29 years. Is the result within 5 years of the actual Best Actor winner, whose age was 51 years? Best Actress 27 30 30 60 30 34 44 29 65 23 45 56 D Best Actor 41 38 37 46 51 46 60 51 39 55 44 34 Find the equation of the regression line. (Round the y-intercept to one decimal place as needed. Round the slope to three decimal places as needed.)12.3 Linear Regression EquationThe table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.3 8.4 6.9 3.3 2.4 2.8 2.3 0.5 yy 13.7 11 9.6 7.1 5.8 6.5 6 4.7 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation y=0.83x+4.11. Use this equation to answer the following;A) How many murders per 100,000 residents can be expected in a state with 1.8 thousand automatic weapons?Answer = _ Nearest whole value.B) How many murders per 100,000 residents can be expected in a state with 7 thousand automatic weapons?Answer = _ Nearest whole valueKidsFeet Regression Line y-Intercept The KidsFeet dataframe contains data collected on 39 fourth grade students in Ann Arbor, MI, in October 1997. Two of the measurements taken on the children were the length in centimeters, (length), and width in centimeters, (width), of their longest foot. This data could be used to answer the following Research Question: How is the width of a fourth-grade student's foot related to the length? Which of the following is the y-intercept of the regression line? ## ## Simple Linear Regression## ## Correlation coefficient r = 0.6411 ## ## Equation of Regression Line:## ## length = 9.817 + 1.658 * width ## ## Residual Standard Error: s = 1.025 ## R^2 (unadjusted): R^2 = 0.411 ( ) 1.0248 ( ) 1.6576 ( ) 22.8153 ( ) 0.411 ( ) 9.8172 ( )0.6411
- Practice Question for Simple Linear Regression: 1. The following data represent the number of flash drives sold per day at a local computer shop and their prices. Price (x) $34 Units Sold (y) TT 3 36 4 32 6 35 5 Develop a least-squares regression line and explain what the slope of the line indicates. What is the coefficient of determination?answer using minitab or excelA. Write the estimated model. Compute and interpret the adequacy of the regression model. Estimated Model: ______________________________________________________ Model Adequacy: ____________ Interpretation: B. Is the quadratic regression term is significant at α=5%. Ho (symbols and words): ______________________________________________________________ p-value: _______________ Conclusion: ___________________________
- Use the linear regression models above to answer this question. There are two break-even points. Find the smaller production level where the company breaks even. Round to the nearest treadmill. treadmills attached ss thanksWedding Cost Attendance 62700 300 50000 350 47000 150 43000 200 35000 250 32500 150 28000 250 28000 300 26000 250 26000 200 25000 150 25000 200 22000 200 22000 200 20000 200 20000 200 19000 100 18000 150 18000 200 18000 150 17000 100 12000 100 12000 150 6000 50 3000 50 Interpret the Y-intercept of the regression equation. Choose the correct answer below. A. It is not appropriate to interpret the Y-intercept because it is outside the range of observed wedding costs. B. The Y-intercept indicates that a wedding with a cost of $0 has a mean predicted attendance of b 0b0 people. C. It is not appropriate to interpret the Y-intercept because it is outside the range of observed attendances. D. The Y-intercept indicates that a wedding with an attendance of 0 people has a mean predicted cost of $b 0b0. Part 4 Identify and interpret the meaning of the coefficient of determination in this problem.…Given: Student Pre-test Scores Post-test Scores 1 84 85 2 78 86 ITT 3 88 89 4 79 83 5 84 87 Find: degree of relationship of the two variables Least-Square Regression Line Equation (LSRL) and predict the post-test score if the pre- test score is 75.
- Amazon Revenue The annual revenue of Amazon is given in the table below (source ). Year 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 Amazon Annual Revenue (Billions of US dollars) 386.064 280.522 232.887 177.866 135.987 107.006 88.988 74.452 61.093 48.077 34.204 See the Regression page in the Chapter 1: Linear Equations and Graphs module for details on creating a regression model. Apply linear regression to the data in the table to find a model y = mx + b, where y is Amazon's annual revenue in billions of US dollars, and is the number of years since 2010.The value of a sports franchise is directly related to the amount of revenue that a franchise can generate. The following data represents the value in 2014 (in $millions) and the annual revenue (in $millions) for the 30 Major League Baseball franchises. Suppose you want to develop a simple linear regression model to predict franchise value based on annual revenue generated. Team Revenue Value Baltimore 245 1000 Boston 370 2100 Chicago White Sox 227 975 Cleveland 207 825 Detroit 254 1125 Houston 175 800 Kansas City 231 700 Los Angeles Angels 304 1300 Minnesota 223 895 New York Yankees 508 3200 Oakland 202 725 Seattle 250 1100 Tampa Bay 188 625 Texas 266 1220 Toronto 226 870 Arizona 211 840 Atlanta 267 1150 Chicago Cubs 302 1800 Cincinnati 227 885 Colorado…The value of a sports franchise is directly related to the amount of revenue that a franchise can generate. The accompanying data table gives the value and the annual revenue for 15 major sport teams. Suppose you want to develop a simple linear regression model to predict franchise value based on annual revenue generated.