Chapter 3: Q.2.1 (page 171)
To determine the least-squares regression line:

Short Answer
The regression equation is
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Chapter 3: Q.2.1 (page 171)
To determine the least-squares regression line:

The regression equation is
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A government report looked at the amount borrowed for college by students who graduated in and had taken out student loans.12 The mean amount was and the standard deviation was . The median wasand the quartiles were and
(a) Compare the mean and the median. Also compare the distances of Q1 and Q3 from the median. Explain why both comparisons suggest that the distribution is right-skewed.
(b) The right-skew pulls the standard deviation up. So a Normal distribution with the same mean and standard deviation would have a third quartile larger than the actual Q3.Find the third quartile of the Normal distribution withand and compare it with.
Beavers and beetles Do beavers benefit beetles? Researchers laid out circular plots, each meters in diameter, in an area where beavers were cutting down cottonwood trees. In each plot, they counted the number of stumps from trees cut by beavers and the number of clusters of beetle larvae. Ecologists think that the new sprouts from stumps are more tender than other cottonwood growth, so beetles prefer them. If so, more stumps should produce more beetle larvae. Here are the data:

Do heavier people burn more energy? The study of dieting described in Exercise 10 collected data on the lean body mass (in kilograms) and metabolic rate (in calories) for female andmale subjects. The figure below is a scatterplot of the data for all subjects, with separate symbols for males and females.

Does the same overall pattern hold for both women and men? What is the most important difference between the sexes?
Here are the weights (in milligrams) of diamonds from a nodule carried up to the earth鈥檚 surface in surrounding rock. These data represent a single population of diamonds formed in a single event deep in the earth.

Make a graph that shows the distribution of weights of these diamonds. Describe the shape of the distribution and any outliers. Use numerical measures appropriate for the shape to describe the center and spread.
Acid rainResearchers studying acid rain measured the acidity of precipitation in a Colorado wilderness area for consecutive weeks. Acidity is measured by pH. Lower pH values show higher acidity. The researchers observed a linear pattern over time. They reported that the regression line =(weeks) 铿乼 the data well.
(a) Identify the slope of the line and explain what it means in this setting.
(b) Identify the y-intercept of the line and explain what it means in this setting.
(c) According to the regression line, what was the pH at the end of this study?
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