Problem 1ECP: The ordered pairs below give the median sales prices y (in thousands of dollars) of new homes sold... Problem 2ECP Problem 3ECP: The simple interest on an investment is directly proportional to the amount of the investment. For... Problem 4ECP: Neglecting air resistance, the distance s an object falls varies directly as the square of the... Problem 5ECP Problem 6ECP: The resistance of a copper wire carrying an electrical current is directly proportional to its... Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the... Problem 1E: Fill in the blanks. Two techniques for fitting models to data are direct and inverse and least... Problem 2E: Fill in the blanks. Statisticians use a measure called the ________ of the ________ ________ to find... Problem 3E: Fill in the blanks. The linear model with the least sum of the squared differences is called the... Problem 4E: Fill in the blanks. An r-value, or, of a set of data gives a measure of how well a model fits the... Problem 5E: Fill in the blanks. The direct variation model y=kxncan be described as “y varies directly as the... Problem 6E: Fill in the blanks. The mathematical model y=2xis an example of variation. Problem 7E: Fill in the blanks. Mathematical models that involve both direct and inverse variation have... Problem 8E: Fill in the blanks. The joint variation model z=kxycan be described as “z varies jointly as x and... Problem 9E: Mathematical Models In Exercises 9 and 10, (a) plot the actual data and the model of the same graph... Problem 10E: Mathematical Models In Exercises 9 and 10, (a) plot the actual data and the model of the same graph... Problem 11E: Sketching a Line In Exercises 11-16, sketch the line that you think best approximates the data in... Problem 12E Problem 13E: Sketching a Line In Exercises 11-16, sketch the line that you think best approximates the data in... Problem 14E: Sketching a Line In Exercises 11-16, sketch the line that you think best approximates the data in... Problem 15E: Sketching a Line In Exercises 11-16, sketch the line that you think best approximates the data in... Problem 16E: Sketching a Line In Exercises 11-16, sketch the line that you think best approximates the data in... Problem 17E: Sports The ordered pairs below give the winning times (in seconds) of the women’s 100-meter... Problem 18E: Broadway The ordered pairs below give the starting year and gross ticket sales S (in millions of... Problem 19E: Direct Variation In Exercises 19-24, find a direct variation model that relates y and x. x=2,y=14 Problem 20E Problem 21E: Direct Variation In Exercises 19-24, find a direct variation model that relates y and x. x=5,y=1 Problem 22E Problem 23E: Direct Variation In Exercises 19-24, find a direct variation model that relates y and x. x=4,y=8 Problem 24E: Direct Variation In Exercises 19-24, find a direct variation model that relates y and x. x=,y=1 Problem 25E: Direct Variation as an nthPower In Exercises 25-28, use the given values of k and n to complete the... Problem 26E Problem 27E: Direct Variation as an nthPower In Exercises 25-28, use the given values of k and n to complete the... Problem 28E: Direct Variation as an nthPower In Exercises 25-28, use the given values of k and n to complete the... Problem 29E: Inverse Variation as an nth Power In Exercises 29-32, use the given values of k and n to complete... Problem 30E Problem 31E: Inverse Variation as an nth Power In Exercises 29-32, use the given values of k and n to complete... Problem 32E Problem 33E: Think About It In Exercises 33 and 34, use the graph to determine whether y varies directly as some... Problem 34E: Think About It In Exercises 33 and 34, use the graph to determine whether y varies directly as some... Problem 35E: Determining Variation In Exercises 35-38, determine whether the variation model represented by the... Problem 36E Problem 37E: Determining Variation In Exercises 35-38, determine whether the variation model represented by the... Problem 38E: Determining Variation In Exercises 35-38, determine whether the variation model represented by the... Problem 39E: Finding a Mathematical Model In Exercises 39-48, find a mathematical model for the verbal statement.... Problem 40E Problem 41E: Finding a Mathematical Model In Exercises 39-48, find a mathematical model for the verbal statement.... Problem 42E Problem 43E: Finding a Mathematical Model In Exercises 39-48, find a mathematical model for the verbal statement.... Problem 44E Problem 45E: Finding a Mathematical Model In Exercises 39-48, find a mathematical model for the verbal statement.... Problem 46E Problem 47E: Finding a Mathematical Model In Exercises 39-48, find a mathematical model for the verbal statement.... Problem 48E: Finding a Mathematical Model In Exercises 39-48, find a mathematical model for the verbal statement.... Problem 49E: Describing a Formula In Exercises 49-52, use variation terminology to describe the formula. y=2x2 Problem 50E Problem 51E: Describing a Formula In Exercises 49-52, use variation terminology to describe the formula. A=12bh Problem 52E: Describing a Formula In Exercises 49-52, use variation terminology to describe the formula. K=12mv2 Problem 53E: Finding a Mathematical Model In Exercises 53-60, find a mathematical model that represents the... Problem 54E Problem 55E: Finding a Mathematical Model In Exercises 53-60, find a mathematical model that represents the... Problem 56E Problem 57E: Finding a Mathematical Model In Exercises 53-60, find a mathematical model that represents the... Problem 58E Problem 59E: Finding a Mathematical Model In Exercises 53-60, find a mathematical model that represents the... Problem 60E Problem 61E: Simple Interest The simple interest on an investment is directly proportional to the amount of the... Problem 62E Problem 63E: Measurement Use the fact that 13 inches is approximately the same length as 33 centimeters to find a... Problem 64E: Measurement Use the fact that 14 gallons is approximately the same amount as 53 liters to find a... Problem 65E: Hooke’s Law In Exercises 65-68, use Hooke’s Law, which states that the distance a spring stretches... Problem 66E: Hooke’s Law In Exercises 65-68, use Hooke’s Law, which states that the distance a spring stretches... Problem 67E: Hooke’s Law In Exercises 65-68, use Hooke’s Law, which states that the distance a spring stretches... Problem 68E: Hooke’s Law In Exercises 65-68, use Hooke’s Law, which states that the distance a spring stretches... Problem 69E: Ecology The diameter of the largest particle that a stream can move is approximately directly... Problem 70E: Work The work W required to lift an object varies jointly with the object’s mass m and the height h... Problem 71E Problem 72E Problem 73E: Music The fundamental frequency (in hertz) of a piano string is directly proportional to the square... Problem 74E: Beam Load The maximum load that a horizontal beam can safely support varies jointly as the width of... Problem 75E Problem 76E Problem 77E Problem 78E: HOW DO YOU SEE IT? Discuss how well a linear model approximates the data shown in each scatter plot. Problem 79E format_list_bulleted