1 A city wants to see if there is a linear relationship between property tax

# 1 a city wants to see if there is a linear

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1. A city wants to see if there is a linear relationship between property tax and annual income of its residents. A random sample of seven residents was selected with the following results: Property Tax in thousands of dollars (X) 3.5 5.2 9.4 7.1 1.2 15.8 6.3 Annual Income thousands of dollars (Y) 55 65 125 102 23 205 85 2. A county relief organization wants to determine if there is a linear relationship between the number of children and annual household income in thousands of dollars. Number of children (X) 3 6 2 5 1 2 4 Annual Income thousands of dollars (Y) 47 21 75 30 94 81 35 3. A fraternity at a large university wanted to determine if there is a linear relationship between the number of alcoholic beverages consumed per week not including weekends and the grade point average (GPA) of its members. Number of Alcoholic Beverages Consumed (X) 4 18 7 0 10 6 12 3 15 Grade Point Average (Y) 3.8 2.3 3.5 3.7 2.8 4.0 3.2 3.6 2.9 4. A psychologist wants to find out if there is a linear relationship between the number of sunny days in a year and positive attitude. The psychologist measures positive attitude on a 100 point scale where a score of 100 indicates the highest possible positive attitude and 0 indicates a completely negative attitude (or the lowest possible positive attitude). Number of Sunny Days (X) 240 315 142 85 330 220 123 98 57 Psychologists Attitude Test (Y) 73 89 65 25 68 78 81 58 32
8.5 Correlation page 372 By Will Tenney 5. A high school soccer coach wants to determine if there is a linear relationship between the number of days of practice and the number of wins in a season. She compares wins and days of practice for her last six seasons. Number of Days of Practice (X) 45 56 48 60 52 58 Number of Wins (Y) 5 8 9 5 7 8 6. A regional manager for McDonald’s believes that there is a linear relationship between a town’s population and the number of successful McDonald’s franchises in a town. Population in tens of thousands (X) 25 37 6 15 11 9 53 3 28 Number of successful franchises (Y) 12 17 3 14 7 3 21 4 17 For the following problems, consider the following scatter plots: A B C D E 0 5 10 15 0 5 10 15 0 5 10 15 20 0 5 10 15 0 5 10 0 10 20 0 5 10 15 0 5 10 15 0 5 10 15 0 5 10 15
8.5 Correlation page 373 By Will Tenney State which graph has the following correlation coefficient. 7. r = 0.82 8. r = -1.00 9. r = - 0.72 10. r = 1.00 11. r = 0.08 For the following problems you may use a calculator that finds the correlation coefficient or the formula. It is easier and quicker to use a calculator with the correlation coefficient feature.