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During a Science Lab, Students Heated Water, Allowed It to Cool

Question 106

Essay

During a science lab, students heated water, allowed it to cool, and recorded the temperature over time. They computed the difference between the water temperature and the room temperature. The results are in the table.

 Time (in minutes) 102030405060 Difference in temp. (degrees F) 6836201064\begin{array}{|l|l|l|l|l|l|l|}\hline\text { Time (in minutes) }& 10 & 20 & 30 & 40 & 50 & 60 \\\hline\text { Difference in temp. (degrees F) }& 68 & 36 & 20 & 10 & 6 & 4 \\\hline\end{array}

-Researchers investigating the association between the size and strength of muscles measured the forearm circumference (in inches) of 20 teenage boys. Then they measured the strength of the boys' grips (in pounds). Their data are plotted below.

 During a science lab, students heated water, allowed it to cool, and recorded the temperature over time. They computed the difference between the water temperature and the room temperature. The results are in the table.   \begin{array}{|l|l|l|l|l|l|l|} \hline\text { Time (in minutes) }& 10 & 20 & 30 & 40 & 50 & 60 \\ \hline\text { Difference in temp. (degrees F) }& 68 & 36 & 20 & 10 & 6 & 4 \\ \hline \end{array}   -Researchers investigating the association between the size and strength of muscles measured the forearm circumference (in inches) of 20 teenage boys. Then they measured the strength of the boys' grips (in pounds). Their data are plotted below.      a. Write a few sentences describing the association. b. Estimate the correlation. r =_____ c. If the point in the lower right corner (at about 14  and 38 lbs.) were removed, would the correlation become stronger, weaker, or remain about the same? d. If the point in the upper right corner (at about 15  and 75 lbs.) were removed, would the correlation become stronger, weaker, or remain about the same?
a. Write a few sentences describing the association. b. Estimate the correlation. r =_____
c. If the point in the lower right corner (at about 14" and 38 lbs.) were removed, would the correlation become stronger, weaker, or remain about the same?
d. If the point in the upper right corner (at about 15" and 75 lbs.) were removed, would the correlation become stronger, weaker, or remain about the same?

Correct Answer:

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a. There is a moderate, positive, linear...

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