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Chapter 3: Q 40. (page 203)
Residual gas Refer to Exercise 38. During March, the average temperature was 46.4掳F and Joan used an average of 490 cubic feet of gas per day. Calculate and interpret the residual for this month.
Residual is
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More Starbucks How do the nutritional characteristics of food products differ from drink products at Starbucks? The scatterplot shown here enhances the scatterplot from Exercise by plotting the food products with blue squares. How are the relationships between fat and calories the same for the two types of products? How are the relationships different?
Long-term records from the Serengeti National Park in Tanzania show interesting ecological relationships. When wildebeest are more abundant, they graze the grass more heavily, so there are fewer fires and more trees grow. Lions feed more successfully when there are more trees, so the lion population increases. Researchers collected data on one part of this cycle, wildebeest abundance (in thousands of animals) and the percent of the grass area burned in the same year. The results of a least-squares regression on the data are shown here. 
a. Is a linear model appropriate for describing the relationship between wildebeest abundance and percent of grass area burned? Explain.
b. Give the equation of the least-squares regression line. Be sure to define any variables you use.
c. Interpret the slope. Does the value of the y-intercept have meaning in this context? If so, interpret the y-intercept. If not, explain why.
d. Interpret the standard deviation of the residuals and r2.
Teenagers and corn yield Identify the explanatory variable and the response variable for the following relationships, if possible. Explain your reasoning.
a. The height and arm span of a sample of teenagers.
b. The yield of corn in bushels per acre and the amount of rain in the growing season.
Heavy backpacks Ninth-grade students at the Webb Schools go on a
backpacking trip each fall. Students are divided into hiking groups of size 8 by selecting names from a hat. Before leaving, students and their backpacks are weighed. The data here are from one hiking group. Make a scatterplot by hand that shows how to backpack weight relates to body weight.
Scientists examined the activity level of 7 fish at different temperatures. Fish activity was rated on a scale of 0 (no activity) to 100 (maximal activity). The temperature was measured in degrees Celsius. A computer regression printout and a residual plot are provided. Notice that the horizontal axis on the residual plot is labeled 鈥淔itted value,鈥� which means the same thing as 鈥減redicted value.鈥� 
What is the correlation between temperature and fish activity?
a. 0.95
b. 0.91
c. 0.45
d. 鈥�0.91
e. 鈥�0.95
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