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Chapter 12: Q.43 (page 718)
Write the equation: ŷ= ____________
The linear equation is shown below:
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Solve.
a. When
b. When
c. When Why doesn’t this answer make sense
63. If there are 15 data points in a set of data, what is the number of degree of freedom?
The following table shows economic development measured in per capita income PCINC.
a. What are the independent and dependent variables?
b. Draw a scatter plot.
c. Use regression to find the line of best fit and the correlation coefficient.
Ornithologists, scientists who study birds, tag sparrow hawks in \(13\) different colonies to study their population. They gather data for the percent of new sparrow hawks in each colony and the percent of those that have returned from migration.
Percent return:\(74; 66; 81; 52; 73; 62; 52; 45; 62; 46; 60; 46; 38\)
Percent new:\(5; 6; 8; 11; 12; 15; 16; 17; 18; 18; 19; 20; 20\)
a. Enter the data into your calculator and make a scatter plot.
b. Use your calculator’s regression function to find the equation of the least-squares regression line. Add this to your scatter plot from part a.
c. Explain in words what the slope and y-intercept of the regression line tell us.
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.
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