A pediatrician wants to determine the relation that may exist between a childs h
ID: 3022139 • Letter: A
Question
A pediatrician wants to determine the relation that may exist between a childs height and head circumference. She randomly selects 8 children, measures their height and head circumference, and obtains the data shown in the table. Head Circumference e 169 17s Height (inches Yinches) 27.25 25 25 26.5 17.4 D. 17.2 75 27.5 2625 25.75 26.75 16.9 17.5 17.2 17.2 17.4 ents cess ibrary ptions utor 169 176 Height in between the height and head anClick here to see the Table of Citical Values for Correlation Cooficient (c) Compute the linear corelation cofficient betwren the height and head Click here to see the Table of Critical Values for Correlation Coefficient clrcumference of a child Round to three decimal places as needed) Enter your answer in the answer box and then click Check Answer Check Answer ns Clear A part remaining oolsExplanation / Answer
Height(x)
Head Circumference(y)
XY
X^2
Y^2
27.25
17.4
474.15
742.5625
302.76
25.25
17
429.25
637.5625
289
26.5
17.2
455.8
702.25
295.84
25.75
16.9
435.175
663.0625
285.61
27.5
17.5
481.25
756.25
306.25
26.25
17.2
451.5
689.0625
295.84
25.75
17.2
442.9
663.0625
295.84
26.75
17.4
465.45
715.5625
302.76
211
137.8
3635.475
5569.375
2373.9
Result:Correletion coefficient to the given data is
r(X,Y)=Cov(x,y)/(S.D(x)*S.D(y)
r(x,y)= 0.893
Height(x)
Head Circumference(y)
XY
X^2
Y^2
27.25
17.4
474.15
742.5625
302.76
25.25
17
429.25
637.5625
289
26.5
17.2
455.8
702.25
295.84
25.75
16.9
435.175
663.0625
285.61
27.5
17.5
481.25
756.25
306.25
26.25
17.2
451.5
689.0625
295.84
25.75
17.2
442.9
663.0625
295.84
26.75
17.4
465.45
715.5625
302.76
211
137.8
3635.475
5569.375
2373.9
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