Height, xIQ score, y621116010566111681176099641136712356130 The accompanying table shows the height (in inches) of 8 high school girls and their scores on an IQ test. Complete parts (a) through (d) below.Click here to view the data table. Click here to view the table of critical values for the Pearson correlation coefficient.(a) Display tne data in a scatter piot. hoose the correct graph pelow.O A.о в.O D.Q72-68-64-72-140-130-120-140-130-120-110-100-90+52Height (inches)68-64-60-56-52+90110-60-100-90+52Height (inches)56-52+90Height (inches)7214072140Height (inches)(b) Calculate the sample correlation coefficient r.r=(Round to three decimal places as needed.)(c) Describe the type of correlation, if any, and interpret the correlation in the context of the data.There isV linear correlation.Interpret the correlation. Choose the correct answer below.O A. Based on the correlation, there does not appear to be a linear relationship between high school girls' heights and their lQ scores.B. Increases in high school girls' heights cause their IQ scores to increase.O C. Based on the correlation, there does not appear to be any relationship between high school girls' heights and their IQ scores.O D. Increases in high school girls' heights cause their IQ scores to decrease.O E. As high school girls' heights increase, their IQ scores tend to increase.O F. As high school girls' heights increase, their IQ scores tend to decrease.(d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let a = 0.01.The critical value is |. Therefore, thereV sufficient evidence at the 1% level of significance to conclude thatbetween high school girls' heights and their IQ scores.(Round to three decimal places as needed.)IQ scoreIQ scoreIQ scoreC.IQ score

(a) For the given data, scatter plot can be obtained using Excel: Steps to follow: Enter the data…

Answered: Height, x IQ score, y 62 111 60 105 66…

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Statistics

Height, x IQ score, y 62 111 60 105 66 111 68 117 60 99 64 113

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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Concept explainers

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

Question

Height, x
IQ score, y
62
111
60
105
66
111
68
117
60
99
64
113
67
123
56
130

The accompanying table shows the height (in inches) of 8 high school girls and their scores on an IQ test. Complete parts (a) through (d) below.
Click here to view the data table. Click here to view the table of critical values for the Pearson correlation coefficient.
(a) Display tne data in a scatter piot. hoose the correct graph pelow.
O A.
о в.
O D.
Q
72-
68-
64-
72-
140-
130-
120-
140-
130-
120-
110-
100-
90+
52
Height (inches)
68-
64-
60-
56-
52+
90
110-
60-
100-
90+
52
Height (inches)
56-
52+
90
Height (inches)
72
140
72
140
Height (inches)
(b) Calculate the sample correlation coefficient r.
r=
(Round to three decimal places as needed.)
(c) Describe the type of correlation, if any, and interpret the correlation in the context of the data.
There is
V linear correlation.
Interpret the correlation. Choose the correct answer below.
O A. Based on the correlation, there does not appear to be a linear relationship between high school girls' heights and their lQ scores.
B. Increases in high school girls' heights cause their IQ scores to increase.
O C. Based on the correlation, there does not appear to be any relationship between high school girls' heights and their IQ scores.
O D. Increases in high school girls' heights cause their IQ scores to decrease.
O E. As high school girls' heights increase, their IQ scores tend to increase.
O F. As high school girls' heights increase, their IQ scores tend to decrease.
(d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let a = 0.01.
The critical value is |. Therefore, there
V sufficient evidence at the 1% level of significance to conclude that
between high school girls' heights and their IQ scores.
(Round to three decimal places as needed.)
IQ score
IQ score
IQ score
C.
IQ score

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