(b) Find the correlation between the two variables in the scatterplot. What does the size of the correlation suggest about the strength of the association between these variables? r:

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
b) r=
Each month, a government agency releases its latest estimate of construction activity in the housing industry. A key measure is the percentage change in the
number of new homes under construction. Does the release of this number come with a change in the stock market? The accompanying data show the
percentage change in the number of new, privately owned housing units started each month, as reported by the government agency. The data also include the
percentage change in the S&P 500 index on the same day the government agency releases the housing results. Complete parts a through c.
Click the icon to view the data table.
B. There is a strong, negative linear association.
OC. There is a weak, positive linear association.
OD. There is a strong, positive linear association.
E. There is little or no association.
(b) Find the correlation between the two variables in the scatterplot. What does the size of the correlation suggest about the strength of the association
between these variables?
r=
Transcribed Image Text:Each month, a government agency releases its latest estimate of construction activity in the housing industry. A key measure is the percentage change in the number of new homes under construction. Does the release of this number come with a change in the stock market? The accompanying data show the percentage change in the number of new, privately owned housing units started each month, as reported by the government agency. The data also include the percentage change in the S&P 500 index on the same day the government agency releases the housing results. Complete parts a through c. Click the icon to view the data table. B. There is a strong, negative linear association. OC. There is a weak, positive linear association. OD. There is a strong, positive linear association. E. There is little or no association. (b) Find the correlation between the two variables in the scatterplot. What does the size of the correlation suggest about the strength of the association between these variables? r=
K
Data table
Percent Change of
All Private Starts
-7.78711
3.43474
- 2.08851
1.65531
11.00218
0.54970
-0.70671
8.32421
- 13.14370
-2.71386
4.54545
- 3.80550
Percent Change
of S&P 500
2.33450
1.50492
0.69168
0.76494
0.69842
-0.79900
0.13485
0.22357
-0.20212
-0.15816
0.63702
-0.32307
Percent Change of
All Private Starts
-2.18845
3.39540
- 17.58636
8.27251
-0.14670
2.41400
0.60362
10.90205
6.12745
6.35930
0.19950
6.40420
Percent Change
of S&P 500
-3.02718
- 1.01325
0.60107
- 1.21904
- 1.18570
-0.81471
0.63541
-0.94115
0.10951
0.50632
0.36194
0.56293
Full data set
I
X
er
m
out
Transcribed Image Text:K Data table Percent Change of All Private Starts -7.78711 3.43474 - 2.08851 1.65531 11.00218 0.54970 -0.70671 8.32421 - 13.14370 -2.71386 4.54545 - 3.80550 Percent Change of S&P 500 2.33450 1.50492 0.69168 0.76494 0.69842 -0.79900 0.13485 0.22357 -0.20212 -0.15816 0.63702 -0.32307 Percent Change of All Private Starts -2.18845 3.39540 - 17.58636 8.27251 -0.14670 2.41400 0.60362 10.90205 6.12745 6.35930 0.19950 6.40420 Percent Change of S&P 500 -3.02718 - 1.01325 0.60107 - 1.21904 - 1.18570 -0.81471 0.63541 -0.94115 0.10951 0.50632 0.36194 0.56293 Full data set I X er m out
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