Answered: Listed below are the brain volumes in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Related questions

Question

Listed below are the brain volumes

in cm3

of twins and the corresponding IQ score. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using

α=0.05.

Is there sufficient evidence to conclude that there is a linear correlation between brain volume and IQ scores?

							Full Data set
Brain volume	1000	960	1030	1030	1287	1279	1059	1077	1035	1073
IQ score	97	88	86	86	100	104	104	95	127	126

Brain volume	1174	1070	1060	1105	1340	1437	1024	1103	1209	1161
IQ score	101	97	93	88	93	84	97	115	114	123

What are the null and alternative hypotheses?

H0:

ρ≠0

H1:

ρ=0

H0:

ρ=0

H1:

ρ>0

H0:

ρ=0

H1:

ρ≠0

H0:

ρ=0

H1:

ρ<0

Construct a scatterplot. Choose the correct graph below.

900150080130Brain VolumeIQ Score

A scatterplot has a horizontal scale labeled Brain Volume from 900 to 1500 in intervals of 100 and a vertical scale labeled IQ Score from 80 to 130 in intervals of 10. Twenty points are plotted with approximate coordinates as follows: (980, 98); (1050, 108); (1050, 102); (1050, 95); (1100, 100); (1110, 123); (1160, 96); (1180, 104); (1190, 108); (1220, 114); (1270, 107); (1280, 102); (1310, 114); (1340, 92); (1340, 124); (1350, 118); (1360, 112); (1360, 106); (1410, 116); (1440, 112).

900150080130Brain VolumeIQ Score

A scatterplot has a horizontal scale labeled Brain Volume from 900 to 1500 in intervals of 100 and a vertical scale labeled IQ Score from 80 to 130 in intervals of 10. Twenty points are plotted with approximate coordinates as follows: (970, 96); (1030, 98); (1040, 94); (1060, 100); (1110, 100); (1110, 98); (1170, 102); (1170, 106); (1220, 104); (1240, 108); (1270, 110); (1290, 108); (1300, 110); (1300, 112); (1350, 114); (1350, 118); (1370, 122); (1400, 116); (1410, 118); (1450, 122).

900150080130Brain VolumeIQ Score

A scatterplot has a horizontal scale labeled Brain Volume from 900 to 1500 in intervals of 100 and a vertical scale labeled IQ Score from 80 to 130 in intervals of 10. Twenty points are plotted with approximate coordinates as follows: (960, 88); (1000, 98); (1030, 86); (1020, 98); (1030, 86); (1040, 128); (1060, 104); (1060, 94); (1070, 126); (1070, 98); (1080, 96); (1110, 88); (1100, 116); (1160, 124); (1170, 102); (1210, 114); (1280, 104); (1290, 100); (1340, 94); (1440, 84).

900150080130Brain VolumeIQ Score

A scatterplot has a horizontal scale labeled Brain Volume from 900 to 1500 in intervals of 100 and a vertical scale labeled IQ Score from 80 to 130 in intervals of 10. Twenty points are plotted with approximate coordinates as follows: (950, 124); (980, 102); (1020, 100); (1040, 106); (1050, 96); (1070, 102); (1080, 116); (1100, 100); (1110, 98); (1150, 104); (1180, 100); (1210, 95); (1220, 124); (1260, 116); (1280, 92); (1350, 124); (1350, 96); (1440, 96); (1450, 102); (1460, 122).

The linear correlation coefficient r is

enter your response here.

(Round to three decimal places as needed.)

Expert Solution