7. Consider the data in the table at right. Use it to answer the followingquestions.Technology Class Enrollment by YearSophomore Junior16241822(a) Find P(Junior Robotics}(b) Find P(Robotics Junior)(c) Find P(Game Design Sophomore)(d) Find P(Sophomore| Game Design)(e) Are year and technology class enrollment dependent or independent events? Explain.RoboticsGame Design

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Answered: 7. Consider the data in the table at…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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2. A real estate expert wanted to find the relationship between the sale price of houses and various characteristics of the houses. He collected data on five variables, recorded in the table, for 12 houses that were sold recently. The five variables are: Sale price of a house in thousands of dollars. Size of the lot in acres. Price: Lot Size: Living Area: Living area in square feet. Age: Type of house: town house (T) or Villa (V) Age of a house in years. Living Area Price Lot Size Age Туре of house 255 1.4 2500 8 T 178 0.9 2250 12 263 1.8 2900 127 0.7 1800 24 305 2.6 3200 10 164 1.2 2400 18 245 2.1 2700 9 146 1.1 2050 28 287 2.8 2850 13 189 1.6 2600 9 211 1.7 2300 8. 123 0.5 1700 11 a) Find the general regression equation b) Which independent variables are linearly related to price? c) How is the fit of the model? E BBBB BB>>}>> >{
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6. Assume that the scatterplot shows the median volume and median value of used cars over the years in the UK used car market. (a) As the data are graphed, which is the independent and which is the dependent variable? (b) Why do you suppose median value and volume have been used instead of the mean? (c) Using the graph, estimate the median value of sales if the median volume of used cars sold is 2.3 million. (d) Use the equation to predict the median value of sales if the median volume of used cars sold is 2.3 million. (e) What other factors besides the price of used cars might influence the volume of used cars sold? Value = 30.97 – 1.211 Volume 40 35 30 25 20 - 15 10 - 0+ 1.5 2 2.5 Median Volume of Used Cars Sold (in millions) Median Value of Used Car Sales (in billions of pounds)
2. A real estate expert wanted to find the relationship between the sale price of houses and various characteristics of the houses. He collected data on five variables, recorded in the table, for 12 houses that were sold recently. The five variables are: Sale price of a house in thousands of dollars. Size of the lot in acres. Price: Lot Size: Living Area: Living area in square feet. Age: Type of house: town house (T) or Villa (V) Age of a house in years. Price Lot Size Living Area Age Туре of house 255 1.4 2500 8 T 178 0.9 2250 12 T T. T. T. 263 1.8 2900 5 0.7 2.6 127 1800 24 305 3200 10 164 1.2 2400 18 245 2.1 2700 T V 146 1.1 2050 28 287 2.8 2850 13 V 189 1.6 2600 9 211 1.7 2300 8 V 123 0.5 1700 11 V a) Find the regression equation for the town house b) Find the regression equation for the Villa c) What is the price of a town house with a lot size of 1.3, living area of 1800, and is 7 years old? EBBBBE A> >}>l> >{
True or false. When drawing a scatter diagram, the explanatory variable is placed along the vertical axis.
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7. Consider the data in the table at right. Use it to answer the following questions. (a) Find P(Junior Robotics} (b) Find P(Robotics Junior) (c) Find P(Game Design Sophomore) Technology Class Enrollment by Year Sophomore Junior 16 24 18 22 Robotics Game Design