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Please complete the following problems and show all of your work. I.Two variables are listed. Would you expect collected data on these two variables to

Please complete the following problems and show all of your work.

I.Two variables are listed. Would you expect collected data on these two variables to have a correlation coefficient which is positive, negative, or near zero? Explain.

1. height and weight

2. upper body strength and distance in the shot put

3. arm length and softball throw for distance

4. age and body temperature

5. standing long jump and vertical jump test score

6. swimming sprint speed and tennis serving accuracy

7. golf score and number of hours spent practicing

8. school grade point average and hours spent watching TV

9. years after graduation and balance on student loans

10. age and income

II. Correlation scatter plots Make a scatter plot using the following data sets. If the sets are correlated, indicate whether the 2 variables are positively correlated, negatively correlated, or not correlated.

1.QUESTION:Do winning MLB teams have greater attendance at their games? The following are statistics from the 2006 MLB Season:

WINS HOMEATTENDANCE

6015,000

6015,000

7025,000

7722,500

7727,500

8026,500

8725,000

8735,000

9035.000

9031,500

9222,500

9425,000

9430,000

9555,000

2. QUESTION:Do the Winning times in the 100 Meter Summer Olympics Run show thatmen's inning timesare correlated withwomen's winning times? (Do NOT graph the year. Just graph the men's finishing time and women's finishing time.)

YEAR MEN's WINNING TIME WOMEN's WINNING TIME

192810.80 seconds12.20 seconds

193210.3011.90

193610.3011.50

194810.4011.90

195210.5011.50

195610.5011.50

196010.2011.00

196410:0011:40

19689:9511:00

197210:1411:02

197610:0611:08

198010:2511.60

19849:9910:97

19889:9210:54

19929:9610:82

19969:8410:94

20009:6710:75

20049:8510:93

3. Question:Theweights (in pounds)of eight vehicles and thevariability of theirbraking distances (in feet)when stopping on a dry surface are shown. Can you conclude that there is a linear correlation between vehicle weight and variability in braking distance on a dry surface?

WeightVariability In Braking Distance

59401.78

53401.93

65001.91

51001.59

58501.66

48001.50

56001.61

58901.70

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