Question: Please note that this question contains multiple parts. This question requires that you use STATA-generated output

Physicians have used the ‘diving reflex’ to reduce abnormally rapid heartbeats in humans by submerging the patients face in cold water. The reflex, triggered by cold water temperatures, is an involuntary response that shuts off circulation to the skin, muscles, and internal organs to divert extra oxygen-rich blood to the heart, lungs and brain.

A research physician conducted an experiment to investigate the effects of various cold water temperatures on the pulse rate of small children. The data for seven 6-year-old children are shown in the table directly below.

1. From this data, test the hypothesis that the above variables are correlated. (5 points)
2. Construct a scatter plot of these two variables with a line of best fit (3 points)
3. If we consider ‘Temperature of Water as the explanatory variable, and ‘Decrease in Pulse rate in beats per minute’ as the response variable, develop the linear regression equation. (3 points)
4. If the water temperature is 60°F, predict the drop in pulse rate for a six-year-old child. What would the drop in pulse rate be for a water temperature of 52°F? (4 points)

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