X y 41.4 -345.4 24.2 -501.1 33.6 255.3 35.1 645.1 48.3 1159.1 37.5 411.5 40.3 -446.1 44.1 513 41.1 1355.9 41.6 -212.6 -31.3 56.5 46.4 -509.2 41.1 -13.8 30.8 103.7 153.4 6951.2 Use your graphing calculator to determine the correlation coefficient for this data set. Round your answer to the nearest thousandth.

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
100%
X
y
-345.4
41.4
24.2 -501.1
33.6 255.3
35.1 645.1
48.3 1159.1
37.5
411.5
40.3
-446.1
44.1
513
41.1 1355.9
41.6 -212.6
56.5
-31.3
46.4 -509.2
41.1
-13.8
30.8 103.7
153.4 6951.2
Use your graphing calculator to determine the correlation coefficient for this data set. Round your answer
to the nearest thousandth.
Submit Question
Transcribed Image Text:X y -345.4 41.4 24.2 -501.1 33.6 255.3 35.1 645.1 48.3 1159.1 37.5 411.5 40.3 -446.1 44.1 513 41.1 1355.9 41.6 -212.6 56.5 -31.3 46.4 -509.2 41.1 -13.8 30.8 103.7 153.4 6951.2 Use your graphing calculator to determine the correlation coefficient for this data set. Round your answer to the nearest thousandth. Submit Question
Expert Solution
Step 1

Correlation Coefficient:

X Y X - X (X - X)2 Y-Y (Y-Y)2 (X-X)(Y-Y)
41.4 -345.4 -6.293 39.60185 -967.753 936545.869 6090.07
24.2 -501.1 -23.493 551.921 -1123.45 1262146.643 26393.28
33.6 255.3 -14.093 198.6126 -367.053 134727.9048 5172.878
35.1 645.1 -12.593 158.5836 22.747 517.426009 -286.453
48.3 1159.1 0.607 0.368449 536.747 288097.342 325.8054
37.5 411.5 -10.193 103.8972 -210.853 44458.98761 2149.225
40.3 -446.1 -7.393 54.65645 -1068.45 1141591.813 7899.073
44.1 513 -3.593 12.90965 -109.353 11958.07861 392.9053
41.1 1355.9 -6.593 43.46765 733.547 538091.2012 -4836.28
41.6 -212.6 -6.093 37.12465 -834.953 697146.5122 5087.369
56.5 -31.3 8.807 77.56325 -653.653 427262.2444 -5756.72
46.4 -509.2 -1.293 1.671849 -1131.55 1280412.192 1463.098
41.1 -13.8 -6.593 43.46765 -636.153 404690.6394 4194.157
30.8 103.7 -16.893 285.3734 -518.653 269000.9344 8761.605
153.4 6951.2 105.707 11173.97 6328.847 40054304.35 669003.4
X =715.4 Y=9335.3   (X-X)2= 12783.1893   (Y-Y)2= 47490952.14 (X-X)(Y-Y) = 726053.4453

X = 47.693Y = 622.353

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