The following table shows the length, In centimeters, of the humerus and the total wingspan, In centimeters, of several pterosaurs, which are extinct hying reptiles. (A graphing calculator is recommended.) Pterosaur Data Humerus, x Humerus, x 27 28 34 35 25 24 22 20 17 16 15 14 13 1.0 0.9 (a) Find the equation of the least-squares regression line for the data. Round constants to the nearest hundredth. 20.32r + 21.05 (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. 73.05 X cm

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 34EQ
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The following table shows the length, In centimeters, of the humerus and the total wingspan, In centimeters, of several ptnrosaurs, which are extinct nytng reptiles. (A
graphing calculator is recommended.)
Pterosaur Data
Humerus, X
Humerus, x
27
34
35
25
24
22
20
17
16
15
14
1.3
1.0
0.9
(a) Find the equation of the least-squares regresslon line for the data. Round constants to the nearest hundredth.
20.32x + 21.05
centimeters.
(b) Use the equation from part (a) to determine, to the nearest centimeter, the projected wingspan of a pterosaur if Its humerus is
73.05
X cm
Transcribed Image Text:The following table shows the length, In centimeters, of the humerus and the total wingspan, In centimeters, of several ptnrosaurs, which are extinct nytng reptiles. (A graphing calculator is recommended.) Pterosaur Data Humerus, X Humerus, x 27 34 35 25 24 22 20 17 16 15 14 1.3 1.0 0.9 (a) Find the equation of the least-squares regresslon line for the data. Round constants to the nearest hundredth. 20.32x + 21.05 centimeters. (b) Use the equation from part (a) to determine, to the nearest centimeter, the projected wingspan of a pterosaur if Its humerus is 73.05 X cm
(e) Is the polnt (x, y) on the least-squares line?
O Yes
O No
() Use the equation of the least-squares line to predict the value of y when x- 4.3. (Round your answer to two decimal places.)
(9) Find, to the nearest hundredth, the linear corelation coefficient.
-0.94
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Additional Materials
O Tech Guide: Excel
Tech Guide: TI-83/84
O Tech Guide: TI-Nspire
Transcribed Image Text:(e) Is the polnt (x, y) on the least-squares line? O Yes O No () Use the equation of the least-squares line to predict the value of y when x- 4.3. (Round your answer to two decimal places.) (9) Find, to the nearest hundredth, the linear corelation coefficient. -0.94 Need Help? Read It Additional Materials O Tech Guide: Excel Tech Guide: TI-83/84 O Tech Guide: TI-Nspire
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