Help part B

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 22EQ
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Help part B

The data table found below contains the listed prices and weights of the diamonds in 20 rings offered for sale in a newspaper in a foreign city. The prices are in local dollars with the weights in carats. Complete parts (a) through (g) below.
E Click the icon to view the data table
(a) Scatterplot the listed prices of the rings on the weights of the rings. Does the trend in the average price seem linear?
i Data Table
Which scatterplot below shows the listed prices of the rings on the weights of the rings?
A.
OB.
C.
Price (dollars)
Weight (carats)
0.27
1400-
0.5-
0.5-
761
0.24
602
0.22
600
0.11
135
0.30
905
04
0-
0+
0.31
900
0.5
1400
1400
0.13
192
Weight (carats)
Price (dollars)
Price (dollars)
0.39
1,157
0.31
897
Does there seem to be a linear trend?
1,013
1,028
354
0.35
0.34
A. Yes, because the scatterplot does not show any obvious pattern.
0.15
0.18
392
O B. No, because the scatterplot shows an obvious curved line.
1,170
468
0.37
0.20
O c. Yes, because the scatterplot shows an approximate linear pattern.
0.19
469
D. No, because the scatterplot does not show any obvious pattern.
0.32
896
0.35
0.24
1,075
655
(b) Estimate the linear equation using least squares. Interpret the fitted intercept and slope. Be sure to include their units. Note if either estimate represents a large extrapolation and is consequently not reliable.
0.38
1,216
Complete the equation for the fitted line below.
Estimated Price (local dollars) = + Weight (carats)
(Round to two decimal places as needed.)
Print
Done
Price (doll ars)
Weight (carats)
Transcribed Image Text:The data table found below contains the listed prices and weights of the diamonds in 20 rings offered for sale in a newspaper in a foreign city. The prices are in local dollars with the weights in carats. Complete parts (a) through (g) below. E Click the icon to view the data table (a) Scatterplot the listed prices of the rings on the weights of the rings. Does the trend in the average price seem linear? i Data Table Which scatterplot below shows the listed prices of the rings on the weights of the rings? A. OB. C. Price (dollars) Weight (carats) 0.27 1400- 0.5- 0.5- 761 0.24 602 0.22 600 0.11 135 0.30 905 04 0- 0+ 0.31 900 0.5 1400 1400 0.13 192 Weight (carats) Price (dollars) Price (dollars) 0.39 1,157 0.31 897 Does there seem to be a linear trend? 1,013 1,028 354 0.35 0.34 A. Yes, because the scatterplot does not show any obvious pattern. 0.15 0.18 392 O B. No, because the scatterplot shows an obvious curved line. 1,170 468 0.37 0.20 O c. Yes, because the scatterplot shows an approximate linear pattern. 0.19 469 D. No, because the scatterplot does not show any obvious pattern. 0.32 896 0.35 0.24 1,075 655 (b) Estimate the linear equation using least squares. Interpret the fitted intercept and slope. Be sure to include their units. Note if either estimate represents a large extrapolation and is consequently not reliable. 0.38 1,216 Complete the equation for the fitted line below. Estimated Price (local dollars) = + Weight (carats) (Round to two decimal places as needed.) Print Done Price (doll ars) Weight (carats)
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