The heights (inches) and foot lengths (cm) of 33 college men are shown in the dataset. Student Height Foot Length 1 66.5 27.0 2 73.5 29.0 3 70.0 25.5 4 71.0 27.9 5 73.0 27.0 6 71.0 26.0 7 71.0 29.0 8 69.5 27.0 9 73.0 29.0 10 71.0 27.0 11 69.0 29.0 12 69.0 27.2 13 73.0 29.0 14 75.0 29.0 15 73.0 27.2 16 72.0 27.5 17 69.0 25.0 18 68.0 25.0 19 72.5 28.0 20 78.0 31.5 21 79.0 30.0 22 71.0 28.0 23 74.0 29.0 24 66.0 25.5 25 71.0 26.7 26 71.0 29.0 27 71.0 28.0 28 84.0 27.0 29 77.0 29.0 30 72.0 28.0 31 70.0 26.0 32 76.0 30.0 33 68.0 27.0 If the person who reportedly is 84 inches tall is excluded, the regression equation for the remaining 32 men is expressed with the following formula. ŷ = 0.253 + 0.384x (a) How much does average foot length increase (in cm) for each 1-inch increase in height? (Round your answer to three decimal places.) cm (b) Predict the difference in the foot lengths (in cm) of men whose heights differ by 10 inches. (Round your answer to two decimal places.) cm (c) Suppose Max is 62 inches tall and has a foot length of 24.80 centimeters. On the basis of the regression equation, what is the predicted foot length (in cm) for Max? (Round your answer to two decimal places.) cm What is the value of the prediction error (residual) for Max (in cm)? (Round your answer to two decimal places.
The heights (inches) and foot lengths (cm) of 33 college men are shown in the dataset. Student Height Foot Length 1 66.5 27.0 2 73.5 29.0 3 70.0 25.5 4 71.0 27.9 5 73.0 27.0 6 71.0 26.0 7 71.0 29.0 8 69.5 27.0 9 73.0 29.0 10 71.0 27.0 11 69.0 29.0 12 69.0 27.2 13 73.0 29.0 14 75.0 29.0 15 73.0 27.2 16 72.0 27.5 17 69.0 25.0 18 68.0 25.0 19 72.5 28.0 20 78.0 31.5 21 79.0 30.0 22 71.0 28.0 23 74.0 29.0 24 66.0 25.5 25 71.0 26.7 26 71.0 29.0 27 71.0 28.0 28 84.0 27.0 29 77.0 29.0 30 72.0 28.0 31 70.0 26.0 32 76.0 30.0 33 68.0 27.0 If the person who reportedly is 84 inches tall is excluded, the regression equation for the remaining 32 men is expressed with the following formula. ŷ = 0.253 + 0.384x (a) How much does average foot length increase (in cm) for each 1-inch increase in height? (Round your answer to three decimal places.) cm (b) Predict the difference in the foot lengths (in cm) of men whose heights differ by 10 inches. (Round your answer to two decimal places.) cm (c) Suppose Max is 62 inches tall and has a foot length of 24.80 centimeters. On the basis of the regression equation, what is the predicted foot length (in cm) for Max? (Round your answer to two decimal places.) cm What is the value of the prediction error (residual) for Max (in cm)? (Round your answer to two decimal places.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 25PFA
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Question
The heights (inches) and foot lengths (cm) of 33 college men are shown in the dataset.
| Student | Height | Foot Length |
|---|---|---|
| 1 | 66.5 | 27.0 |
| 2 | 73.5 | 29.0 |
| 3 | 70.0 | 25.5 |
| 4 | 71.0 | 27.9 |
| 5 | 73.0 | 27.0 |
| 6 | 71.0 | 26.0 |
| 7 | 71.0 | 29.0 |
| 8 | 69.5 | 27.0 |
| 9 | 73.0 | 29.0 |
| 10 | 71.0 | 27.0 |
| 11 | 69.0 | 29.0 |
| 12 | 69.0 | 27.2 |
| 13 | 73.0 | 29.0 |
| 14 | 75.0 | 29.0 |
| 15 | 73.0 | 27.2 |
| 16 | 72.0 | 27.5 |
| 17 | 69.0 | 25.0 |
| 18 | 68.0 | 25.0 |
| 19 | 72.5 | 28.0 |
| 20 | 78.0 | 31.5 |
| 21 | 79.0 | 30.0 |
| 22 | 71.0 | 28.0 |
| 23 | 74.0 | 29.0 |
| 24 | 66.0 | 25.5 |
| 25 | 71.0 | 26.7 |
| 26 | 71.0 | 29.0 |
| 27 | 71.0 | 28.0 |
| 28 | 84.0 | 27.0 |
| 29 | 77.0 | 29.0 |
| 30 | 72.0 | 28.0 |
| 31 | 70.0 | 26.0 |
| 32 | 76.0 | 30.0 |
| 33 | 68.0 | 27.0 |
If the person who reportedly is 84 inches tall is excluded, the regression equation for the remaining 32 men is expressed with the following formula.
ŷ = 0.253 + 0.384x
(a)
How much does average foot length increase (in cm) for each 1-inch increase in height? (Round your answer to three decimal places.)
cm
(b)
Predict the difference in the foot lengths (in cm) of men whose heights differ by 10 inches. (Round your answer to two decimal places.)
cm
(c)
Suppose Max is 62 inches tall and has a foot length of 24.80 centimeters. On the basis of the regression equation, what is the predicted foot length (in cm) for Max? (Round your answer to two decimal places.)
cm
What is the value of the prediction error (residual) for Max (in cm)? (Round your answer to two decimal places.)
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