In Galton's height data (Figure 7.1, in Section 7.1), the

Chapter 7, Problem 5E

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QUESTION:

In Galton’s height data (Figure 7.1, in Section 7.1), the least-squares line for predicting forearm length \((y)\) from height \((x)\) is \(y=-0.2967+0.2738x\).

a. Predict the forearm length of a man whose height is 70 in.

b. How tall must a man be so that we would predict his forearm length to be 19 in.?

c. All the men in a certain group have heights greater than the height computed in part (b). Can you conclude that all their forearms will be at least 19 in. long? Explain.

Equation Transcription:

Text Transcription:

(y)

(x)

y=-0.2967+0.2738x

Questions & Answers

QUESTION:

In Galton’s height data (Figure 7.1, in Section 7.1), the least-squares line for predicting forearm length \((y)\) from height \((x)\) is \(y=-0.2967+0.2738x\).

a. Predict the forearm length of a man whose height is 70 in.

b. How tall must a man be so that we would predict his forearm length to be 19 in.?

c. All the men in a certain group have heights greater than the height computed in part (b). Can you conclude that all their forearms will be at least 19 in. long? Explain.

Equation Transcription:

Text Transcription:

(y)

(x)

y=-0.2967+0.2738x

ANSWER:

Step 1 of 4

Given that

The least-squares line for predicting forearm length   from height  is

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