Chapter 12: Q.33 (page 717)
How many acres will be left to mow after hours of work?
The number of acres that will be left to mow after hours of work is acres
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Emma’s Extreme Sports hires hang-gliding instructors and pays them a fee of per class as well as per student in the class. The total cost Emma pays depends on the number of students in a class. Find the equation that expresses the total cost in terms of the number of students in a class.
A researcher is investigating whether population impacts homicide rate. He uses demographic data from Detroit, MI to compare homicide rates and the number of the population that are white males.
a. Use your calculator to construct a scatter plot of the data. What should the independent variable be? Why?
b. Use your calculator’s regression function to find the equation of the least-squares regression line. Add this to your
scatter plot.
c. Discuss what the following mean in context.
i. The slope of the regression equation
ii. The y-intercept of the regression equation
iii. The correlation \(r\)
iv. The coefficient of determination \(r2\).
Write the equation: ŷ= ____________
Due to erosion, a river shoreline is losing several thousand pounds of soil each year. A linear equation that expresses the total amount of soil lost per year is .
How many pounds of soil does the shoreline lose in a year?
Recently, the annual number of driver deaths per \(100,000\) for the selected age groups was as follows:
a. For each age group, pick the midpoint of the interval for the \(x\) value. (For the \(75+\) group, use \(80\).)
b. Using “ages” as the independent variable and “Number of driver deaths per \(100,000\)” as the dependent variable,
make a scatter plot of the data.
c. Calculate the least squares (best–fit) line. Put the equation in the form of: \(\hat{y}=a+bx\)
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