## MATH 533 Week 7 Quiz (Summer 2019)

**Question:**Suppose a statistician built a multiple regression model for predicting the total number of runs scored by a baseball team during a season. Using data for n = 200 samples, the results below were … Complete parts a through d.**Question:**Suppose a statistician built a multiple regression model for predicting the total number of runs scored by a baseball team during a season. Use the β estimates to predict the number of runs scored by a team with 282 walks, 966 singles, 219 doubles, 15 triples, and 160 home runs.**Question:**Suppose you fit the first-order multiple regression model y = β_{0}+ β_{1}x_{1 }+ β_{2}x_{2}+ Ԑ to n = 25 data points and obtain the prediction equation ŷ = 31.26 + 1.59x_{1}+ 2.48x_{2}. The estimated standard deviations of the sampling distributions of β_{1 }and β_{2}are 0.32 and 0.32 respectively.**Question:**The equation used to predict the total body weight (in pounds) of a female athlete at a certain school is ŷ = – 127 + 4.03x_{1}+ 1.38x_{2}, where x_{1}is the female athlete’s height (in inches) and x_{2}is the female athlete’s percent body fat, measured as x_{2}%. Use the multiple regression equation to predict the total body weight for a female athlete who is 65 inches tall and has 18% body fat.**Question:**Suppose a statistician built a multiple regression model for predicting the total number of runs scored by a baseball team during a season. Using data for n = 200 samples, the results below were obtained. Complete parts a through d.**Question:**Data were gathered from a simple random sample of cities. The variables are Violent Crime (crimes per 100,000 population), Police Officer Wage (mean $/hr), and Graduation Rage (%). Using the accompanying regression table to answer the following questions consider the coefficient of Graduation Rate. Complete parts a through e.**Question:**Researchers developed a safety performance function (SPF), which estimates the probability of occurrence of a crash for a given segment of roadway. Using data on over 100 segments of roadway, they fit the model E(y) = β_{0}+ β_{1}x_{1}+ β_{2}x_{2, }where y = number of crashes per three years, x_{1 }= roadway length (miles), and x_{2}average annual daily traffic. (number of vehicles) = AADT.**Question 12.3.4.T:**Suppose you fit the first-order multiple regression model y = β_{0}+ β_{1}x_{1 }+ β_{2}x_{2}+ Ԑ to n = 25 data points and obtain the prediction equation ŷ = -50.11 + 5.44x_{1}+ 1.33x_{2}. The estimated standard deviations of the sampling distributions of β_{1 }and β_{2}are 0.98 and 0.25 respectively.**Question 12.3.13:**Researchers developed a safety performance function (SPF), which estimates the probability of occurrence of a crash for a given segment of roadway. Using data on over 100 segments of roadway, they fit the model E(y) = β_{0}+ β_{1}x_{1}+ β_{2}x_{2, }where y = number of crashes per three years, x_{1 }= roadway length (miles), and x_{2}average annual daily traffic. (number of vehicles) = AADT.**Question 9.4.3:**The equation used to predict the total body weight (in pounds) of a female athlete at a certain school is ŷ = -113 + 3.34x_{1 }+ 1.05x_{2}, where x_{1}female athlete’s height (in inches) and x_{2}is the female athlete’s percent body fat, … as x_{2}%. Use the multiple regression equation to predict the total body weight for a female athlete who is 64 inches tall and has 30% body fat.**Question 12.4.26:**Suppose a statistician built a multiple regression model for predicting the total number of runs scored by a baseball team during a season. Use the β estimates to predict the number of runs scored by a team with 286 walks, 865 singles, 172 doubles, 32 triples, and 138 home runs.**Question Section 15.4 Exercise 8:**Data were … from a simple random sample of cities. The variables are Violent Crime (crimes per 100,000 population), Police Officer Wage (mean $/hr), and Graduation Rage (%). Using the accompanying regression table to answer the following questions consider the coefficient of Graduation Rate. Complete parts a through e.

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