## MATH 221 Week 7 Homework Results (Fall 2018)

**MATH 221 Week 7 Homework (Attempt 3)**

**Question:**Two variables have a negative non-linear correlation. Does the dependent variable increase or decrease as the independent variable increases?**Question:**What does the variable µ represent?**Question:**A golfer wants to determine if the type of driver she uses each year can … improvement in her game. Which variable would … the explanatory variable?**Question:**Two variables have a negative linear correlation. Where would the y-intercept of the regression line … located on the y-axis?**Question:**A value of the independent variable that corresponds to the value of y_{i}would … given the notation of:**Question:**What would … the notation for the mean of the x values?**Question:**Which of the following graphs displays the regression equation of**Question:**Find the regression equation for the following data set**Question:**A data set whose original x values ranged from 41 through 78 was used to generate a regression equation of ŷ=5.3x – 21.9. Use the regression equation to … the value of y when x=81.**Question:**A data set whose original x values ranged from 120 through 351 was used to generate a regression equation of ŷ=0.06x + 14.2. Use the regression equation to predict the value of y when x=110.**Question:**Find the regression equation for the following data set

x 7 8 5 9 4 3 9 6 7 8

y 4 2 8 3 7 9 3 5 6 9**Question:**A data set whose original x values ranged from 137 … regression equation of ŷ=-4.5x + 51. Use the regression equation to predict the value of y when x=141.**Question:**If the linear correlation coefficient is 0.681, what is the value of the coefficient of determination?**Question:**If the linear correlation coefficient is -0.471, what is the value of the coefficient of determination?**Question:**If the coefficient of determination is 0.497, what percentage of the data about the regression line is … ?**Question:**If the coefficient of determination is 0.822, what percentage of the data about the regression line is … ?**Question:**A regression equation can have more than one ____________ .**Question:**The equation used to predict how tall a dog will … as an adult is ŷ=4.5 + 0.7x_{1}+ 0.55x_{2}, where x_{1}is the height of the mother and x_{2}is the height of the father. Use this equation to predict the height of a puppy whose mother is 45.2 inches tall and whose father is 41.6 inches tall.**Question:**The equation used to predict how long it will take to receive a package through the mail is ŷ=0.5 + 0.02x_{1}+ 0.85x_{2 }days, where x_{1}is the distance to travel and x_{2}is the weight of the package. Use this equation to predict the how long it will take to receive a package that is 85 miles away and weighs 6.7 pounds.**Question:**The equation used to predict how long a cold will last is ŷ=-1.8 + 0.09x_{1}+ 3.2x_{2 }– 1.9x_{3}, where x_{1 }is person’s temperature on the first day, x_{2}is number of people seen each day, and x_{3}is the amount of sleep the person gets. Use this equation to predict how long a cold will last with a temperature of 100.4 degrees, an average of 6 people seen each day, and 4 hours of sleep.

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## STATUS

**MATH 221 Week 7 Homework (Attempt 4)**

**Question:**Two variables have a negative linear correlation. Does the dependent variable increase or decrease as the independent variable increases?**Question:**What does the variable r^{2 }represent?**Question:**A baseball player wants to determine if the type of bat he uses each year can … used to predict the amount of improvement in his game. Which variable would be the response variable?**Question:**Two variables have a negative linear correlation. Where would the y-intercept of the regression line be located on the y-axis?**Question:**A value of the y-intercept of the regression line would be given the notation of:**Question:**What would be the notation for the mean of the y values?**Question: …**displays the regression equation of =-0.30x + 6.25**Question:**Find the regression equation for the following data set

**x**123 146 127 161 122 174 134 155

**y**80 51 59 41 44 59 51 63**Question:**A data set whose original x values ranged from 41 through 78 was used to generate a regression equation of ŷ=5.3x – 21.9. Use the regression equation to predict the value of y when x=56.**Question:**A data set whose original x values ranged from 120 through 351 was used to generate a regression equation of ŷ=0.06x + 14.2. Use the regression equation to predict the value of y when x=110.**Question:**Find the regression equation for the following data set

**x**7 8 5 9 4 10 9 6 7 8

**y**4 2 8 3 7 9 3 5 6 3**Question:**A data set whose original x values ranged from 137 through 150 … general a regression equation of ŷ=-4.5x + 51. Use the regression equation to predict the value of y when x=141.**Question:**If the linear correlation coefficient is 0.482, what is the value of the coefficient of determination?**Question: …**-0.156, what is the value of the coefficient of determination**Question:**If the coefficient of determination is 0.497, what percentage of the data about the regression line is … ?**Question: …**0.394, what percentage of the data about the regression line is … ?**Question:**If the independent variables explained more than 50% of the variation in the dependent variables. Which of the following would be true?**Question:**The equation used to predict how tall a dog will be as an adult is ŷ=4.5 + 0.7x_{1}+ 0.55x_{2}, where x_{1}is the height of the mother and x_{2}is the height of the father. Use this equation to predict the height of a puppy whose mother is 40.3 inches tall and whose father is 45.9 inches tall.**Question:**The equation used to predict how long it will take to receive a package through the mail is ŷ=0.5 + 0.02x_{1}+ 0.85x_{2 }days, where x_{1}is the distance to travel and x_{2}is the weight of the package. Use this equation to predict the how long it will take to receive a package that is 85 miles away and weighs 6.7 pounds.**Question:**The equation used to predict how long a cold will last is ŷ=-1.8 + 0.09x_{1}+ 3.2x_{2 }– 1.9x_{3}, where x_{1}

is person’s temperature on the first day, x_{2}is number of people … each day, and x_{3}is the amount of sleep the person gets. Use this equation to predict how long a cold will last with a temperature of 100.4 degrees, an average of 4 people seen each day, and 6 hours of sleep.