Mathematics
27.11.2020 02:08
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3. At a swim meet, Matthew dives from a diving board that is 48 feet high. His position

3. At a swim meet, Matthew dives from a diving board that is 48 feet high. His position above the water is modeled by the function h(t)--16t?+24t+40 where represents the time in seconds and h is the height in feet.
a. What is the maximum height the diver reaches?
b. How long does it take for the diver to reach her maximum height?
c. How long did it take till the diver hit the water?
d. How high was the diver after 1.5 seconds?
e. After how many seconds was the diver 24 feet above the water?
Show Answers
rue61
rue61
4,6(33 marks)

The residual value comes out to be 2.94 cm and height is 157.06 cm

Explanation:

The regression equation is calculated at the first step.

height = 105.08 plus 2.599 multiply foot length

At foot length = 20cm, height = 105.08 plus 2.599 multiply 20

= 157.06 cm

Residual = Actual minus predicted value = 160 minus 157.06

=2.94 cm

B) The residual standard deviation generally gives  a sense of the goodness of fit of goodness of regression equation on our data. The magnitude tells us that how much will be predicted values from model will vary from actual values. the linear model is justified.

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