2. The owner of a car wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of 12 used cars sold at a dealership during the last year. Determine the (a) Pearson correlation coefficient; (b) Spearman rank correlation coefficient. Interpret these results Car Age (years) Selling Price ($1000) 1 9 8.1 2 4 5 6 7 12 8 7 6.0 3.6 4.0 5.0 10.0 3 11 789 10 11 8 11 10 12 6 7.6 8.0 8.0 6.0 8.6 12 6 8.0

Is the number of games won by a major league baseball team in a season related to the team batting average? The table below shows the number of games won and the batting average (in thousandths) of 8 teams. Team Games Won Batting Average 1 92 262 2 102 259 3 102 262 4 62 265 5 102 290 6 83 266 7 80 273 8 65 277 Using games won as the explanatory variable ?, do the following: (a) The correlation coefficient is ?= (b) The regression equation is ?̂ =

The data in the table below show years of teaching experience and annual salary in dollars for 12 randomly selected mathematics instructors in Illinois colleges/ universities for the 2013/2014 school year. Is there a linear correlation between a mathematics instructor’s years of experience and his or her annual salary? Number of Years:7  9  6  7  11  12  11  3  3   7   9   1 Salary (in Dollars): 48,897  62,866  54,585  56,611  53,541  53,541 47,027  47,970  46,668   48,029   46,735   45,000

Based on the scatter plot below on data from Central Harlem, would you estimate the correlation coefficient to be positive, negative, or close to 0? Select the correct correlation and corresponding explanation. Household Income vs. Serious Crime Rate (per 1,000 residents) CentralHarlem Data Scatter Plot: 22- 21- 20- 19- 18- 17 16- 15 32 34 36 38 40 42 Household_Income (thousands) Positive; As the household income increases, the serious crime rate decreases. A. Negative; As the household income increases, the serious crime rate decreases. B. Positive; As the household income increases, the serious crime rate also increases. OC. Negative; As the household income increases, the serious crime rate also increases. D. Close to 0; There is no linear correlation between household income and serious crime rate. E. A Moving to another question will save this response. Question 24 of 25 MacBook Air Serious crime_rate

Find a best fit line for ice cream consumption and murders. This is a classic example of "spurious" correlation. Ice Cream     2,1,2,3,2,4,5,3,2,1,2,1 Murders     8,21,16,18,22,25,22,30,20,10,14,9