Question: The table below shows the temperature in degrees F for different water depths, in feet, of Little Lake in Marquette County, Michigan. Depth (feet) Temperature

The table below shows the temperature in degrees F for different water depths, in feet, of Little Lake in Marquette County, Michigan.

Depth (feet) Temperature (F)
6 72.2
12 72.1
18 71.6
24 67.5
30 56.5
38 52.3

a) Let dd represent the depth of the water and TT represent the temperature. Use technology and all the data points to calculate the regression ("best fit") linear model for the temperature in terms of the depth of the water. (Round to 2 decimal places.)

T(d)=T(d)=

b) Find the TT intercept: (d,T)=(d,T)=

c) To the nearest foot, at what depth will the temperature be 40 degrees F?

At a depth of feet, the temperature will be 40 degrees F.

d) What does the slope tell you about the relationship between the depth of the water and the temperature? Select one of the following responses. A. As the depth increases by 0.69 foot, the temperature decreases by 1 degree F. B. As the depth decreases by 0.69 foot, the temperature increases by 1 degree F. C. As the depth decreases by 1 foot, the temperature decreases by 0.69 degrees F. D. As the depth increases by 1 foot, the temperature decreases by 0.69 degrees F.

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