A traffic safety officer conducted an experiment to determine whether there is a correlation between people’s ages (X) and driving speeds (Y).  6 individuals were randomly sampled and the following data were collected.       Age 20 25 45 46 60 65 Speed (mph) 60 47 55 38 45 35       ΣX = 261 ΣY = 280 ΣXY = 11573 ΣX2 = 12991 ΣY2  = 13528           A. Calculate the Pearson's R         B. Interpret the Pearson's R (positive or negative correlation? and the strength of the correlation?)

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A traffic safety officer conducted an experiment to determine whether there is a correlation between people’s ages (X) and driving speeds (Y).  6 individuals were randomly sampled and the following data were collected. 

 

  

Age

20

25

45

46

60

65

Speed (mph)

60

47

55

38

45

35

 

 

 

ΣX = 261

ΣY = 280

ΣXY = 11573

ΣX2 = 12991

ΣY2  = 13528

     
 
 
A. Calculate the Pearson's R
 
 
 
 
B. Interpret the Pearson's R (positive or negative correlation? and the strength of the correlation?) 
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