Chapter 12: Q.42 (page 718)
Plot the two given points on the following graph. Then, connect the two points to form the regression line.
The graph:
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The following table shows data on average per capita coffee consumption and heart disease rate in a random sample of \(10\) countries.
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.
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.
How many acres will be left to mow after 100 hours of work?
A point is removed, and the line of best fit is recalculated. The new correlation coefficient is . Does the point appear to have been an outlier? Why?
A vacation resort rents SCUBA equipment to certified divers. The resort charges an up-front fee of and another fee of an hour.
Find the equation that expresses the total fee in terms of the number of hours the equipment is rented.
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