The following table shows the length, in centimeters, of the humerus and the total wingspan, in centimeters, of several pterosaurs, which are extinct flying reptiles. (A graphing calculator is recommended.) Pterosaur Data Humerus, x Wingspan, y Humerus, x 24 32 22 17 13 4.4 3.2 1.5 610 760 cm 440 380 280 69 53 24 20 27 15 15 9 4.4 2.9 Wingspan, y 510 580 300 320 250 55 49 (a) Find the equation of the least-squares regression line for the data. (Where x is the independent variable.) Round constants to the nearest hundredth. ŷ = (b) Use the equation from part (a) to determine, to the nearest centimeter, the projected wingspan of a pterosaur if its humerus is 52 centimeters. HER
The following table shows the length, in centimeters, of the humerus and the total wingspan, in centimeters, of several pterosaurs, which are extinct flying reptiles. (A graphing calculator is recommended.) Pterosaur Data Humerus, x Wingspan, y Humerus, x 24 32 22 17 13 4.4 3.2 1.5 610 760 cm 440 380 280 69 53 24 20 27 15 15 9 4.4 2.9 Wingspan, y 510 580 300 320 250 55 49 (a) Find the equation of the least-squares regression line for the data. (Where x is the independent variable.) Round constants to the nearest hundredth. ŷ = (b) Use the equation from part (a) to determine, to the nearest centimeter, the projected wingspan of a pterosaur if its humerus is 52 centimeters. HER
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
The following table shows the length, in centimeters, of the humerus and the total wingspan, in centimeters, of several pterosaurs, which are extinct flying reptiles. (A graphing calculator is recommended.)
(a) Find the equation of the least-squares regression line for the data. (Where × is the independent variable.) Round constants to the nearest hundredth.
y= ?
(b) Use the equation from part (a) to determine, to the nearest centimeter, the projected wingspan of a pterosaur if its humerus is 52 centimeters.
? cm
Transcribed Image Text:ASK YOUR TEACHER
The following table shows the length, in centimeters, of the humerus and the total wingspan, in centimeters, of several pterosaurs, which are extinct flying reptiles. (A graphing calculator is
recommended.)
Pterosaur Data
Humerus, x
ŷ =
24
32
22
17
13
4.4
3.2
1.5
Wingspan, y Humerus, x
610
cm
760
440
380
280
69
53
24
20
27
15
15
9
4.4
2.9
Wingspan, y
510
580
300
320
250
55
(a) Find the equation of the least-squares regression line for the data. (Where x is the independent variable.) Round constants to the nearest hundredth.
49
(b) Use the equation from part (a) to determine, to the nearest centimeter, the projected wingspan of a pterosaur if its humerus is 52 centimeters.
PRACTICE ANOTHER
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