12.63 Body Temperature and Heart Rate Is there any relationship between these two variables? To find out, we randomly selected 12 people from a data set constructed by Allen Shoemaker (Journal of Statistics Education) and recorded their body temperature and heart rate.

a. Find the correlation coefficient r, relating body temperature to heart rate.

b. Is there sufficient evidence to indicate that there is a correlation between these two variables? Test at the 5% level of significance.

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Person Temperature 1 2 34 56 35.7 36.3 37.2 37.2 37.2 36 (degrees Celsius) Heart rate (beats per minute) 70 70 68 80 75 79 75 Person 7 8 9 10 11 12 Temperature 36.9 36.9 37.1 37.1 37.3 37.4 (degrees Celsius) Heart rate 74 84 73 84 66 68 (beats per minute)