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Helen [10]
3 years ago
8

In Galton’s height data, the least-squares line for predicting forearm length (y) from height (x) is y = −0.2967 + 0.2738x.

Mathematics
1 answer:
katovenus [111]3 years ago
4 0

Using the line of best fit, it is found that the prediction of the forearm length of a man whose height is of 72 in is of 19.417 in.

<h3>What does the line of best fit state?</h3>

It states that the predicted forearm length of a person of height x is given by:

y = -0.2967 + 0.2738x.

In this problem, the height is of x = 72 in, hence:

y = -0.2967 + 0.2738(72) = 19.417 in.

More can be learned about line of best fit at brainly.com/question/17261411

#SPJ1

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ddd [48]

Answer:

The domain of the function H(t), is [-5, 30].

The range of the function H(t), is [(10% + average), (average - 20%)]

Step-by-step explanation:

The domain of a function is the complete set of possible values of the independent variable.

For this question, the function is H(t), with the temperature, t, serving as the independent variables and H(t) the evidently dependent variable.

The domain of a function refers to all the possible independent variable values that will give corresponding real dependent variable values.

For this question, Alice's model has the probability for the occurrence of heart disease (in percents relative to the global average) at an area, H(t) varying with the temperature of that area in degree Celsius.

At a temperature of -5°C (the lowest temperature in the model), the probability is 10% above the average.

Then, the probability decreases with increase in temperature, taking a value 20% lower than the average when the temperature is at its highest of 30°C in the model.

So, temperature ranges from -5°C to 30°C and the probability for the occurrence of heart disease ranges from 10% above the average to 20% below the average.

The domain of the function H(t), from the definition given above would therefore be [-5, 30]

And the range of the function H(t), is [(10% + average), (average - 20%)]

Hope this Helps!!!

7 0
3 years ago
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4 years ago
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JulsSmile [24]

Answer:

a) i) The drawing of Zeno's route is attached

ii) The bearing of Zeno's return journey is 241° from point C to point A

b) Yes, Zeno returns to Port A before 5.15pm

Step-by-step explanation:

a) i) Please find attached the drawing of Zeno's route

ii) From the attached diagram of Zeno's route created with Microsoft Whiteboard, we find the bearing of his return journey as 241° from point C to point A

b) The distance from point C to point A = 10·√5 km

The speed with which Zeno sails as he returns = 10 km/h

The time it takes Zeno to return t = Distance/Speed

∴ The time it takes Zeno to return t = 10·√5 km/(10 km/h) = √5 h ≈ 2.2361 hours ≈ 2 hours 14 minutes and 9.845 seconds

The time Zeno arrives at point A from point A ≈ 3.00 pm + 2 hours 14 minutes and 9.845 seconds = 5:14.1641 p.m. ≈ 5:14 pm.

Therefore, Zeno returns to Port A before 5.15pm.

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rjkz [21]

Answer:

A.

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