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Chapter 12: Linear Regression and Correlation

Q.45

Page 718

Does the line seem to fit the data? Why or why not?

Q.48

Page 719

Graph 鈥測ear鈥 vs. 鈥# flu cases diagnosed.鈥 Do not include pre-1981. Label both axes with words. Scale both axes

Q.51

Page 719

The scatter plot shows the relationship between hours spent studying and exam scores. The line shown is the calculated line of best fit. The correlation coefficient is 0.69.

Do there appear to be any outliers?

Q. 53

Page 719

53. What effect did the potential outlier have on the line of best fit?

Q. 56

Page 719

56. The Standard Deviation for the Sum of Squared Errors for a data set is9.8. What is the cutoff for the vertical distance that a point can be from the line of best fit to be considered an outlier?

Q. 57

Page 719

For each of the following situations, state the independent variable and the dependent variable.

a. A study is done to determine if elderly drivers are involved in more motor vehicle fatalities than other drivers. The number of fatalities per100,000 driver is compared to the age of drivers.

b. A study is done to determine if the weekly grocery bill changes based on the number of family members.

c. Insurance companies base life insurance premiums partially on the age of the applicant.

d. Utility bills vary according to power consumption.

e. A study is done to determine if a higher education reduces the crime rate in a population.

Q. 59

Page 720

59. The Gross Domestic Product Purchasing Power Parity is an indication of a country's currency value compared to another country. Table 12.16 shows the GDPPPP of Cuba as compared to US dollars. Construct a scatter plot of the data.

Year
Cuba's PPP
Year
Cuba's PPP
1999
1,700
2006
4,000
2000
1,700
2007
11,000
2002
2,300
2008
9,500
2003
2,900
2009
9,700
2004
3,000
2010
9,900
2005
3,500


Q. 60

Page 720

60. The following table shows the poverty rates and cell phone usage in the United States. Construct a scatter plot of the data

Year
Poverty Rate
Cellular Usage per Capita
2003
12.7
54.67
2005
12.6
74.19
2007
12
84.86
2009
12
90.82

Q. 61

Page 721

61. Does the higher cost of tuition translate into higher-paying jobs? The table lists the top ten colleges based on mid-career salary and the associated yearly tuition costs. Construct a scatter plot of the data.

School
Mid-Career Salary( in thousands)
Yearly Tuition
Princeton
137
28,540
Harvey Mudd
135
40,133
CalTech
127
39,900
US Naval Academy
122
0
West Point
120
0
MIT
118
42,050
Lehigh University
118
43,220
NYU-Poly
117
39,565
Babson College
117
40,400
Stanford
114
54,506

Q. 62

Page 721

62. If the level of significance is 0.05 and the p-value is 0.06, what conclusion can you draw?

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