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. 52 68 90 Height (inches) 130 52 68 Height (inches) Height (inches) (b) Calculate the sample correlation coefficient r. Data Table - X r= -0.049 (Round to three decimal places as needed.) Height, x IQ score, y (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. 63 107 59 100 There is no linear correlation. 64 103 67 112 Interpret the correlation. Choose the correct answer below. 58 93 63 109 Based on the correlation, there does not appear to be a linear relationship between high school girls' heights and their IQ scores. 65 116 O B. Increases in high school girls' heights cause their IQ scores to increase. 55 127 O c. As high school girls' heights increz 7s tend to increase. XD. Based on the correlation, there do be any relationship between high school girls' heights and their IQ scores. . O E. Increases in high school girls' heiç 2 scores to decrease. is not Print Done OF As high school girls' heights increa es tend to decrease. is (d) Use the table of critical values for the I an coefficient to make a conclusion about the correlation coefficient. Let a = 0.01. The critical value is . Therefore, there sufficient evidence at the 1% level of significance to conclude that V between high school girls' heights and their IQ scores. (Round to three decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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Question
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.
52
Height (inches)
68
130
Height (inches)
90
52
68
Height (inches)
(b) Calculate the sample correlation coefficient r.
Data Table
- X
r= -0.049
(Round to three decimal places as needed.)
Height, x
IQ score, y
(c) Describe the type of correlation, if any, and interpret the correlation in the context of the data.
63
107
59
100
There is
no
linear correlation.
64
103
67
112
Interpret the correlation. Choose the correct answer below.
58
93
63
109
A. Based on the correlation, there does not appear to be a linear relationship between high school girls' heights and their IQ scores.
65
116
O B. Increases in high school girls' heights cause their IQ scores to increase.
O C. As high school girls' heights increase, their IQ scores tend to increase.
55
127
CD. Based on the correlation, there does not appear to be any relationship between high school girls' heights anc
OE. Increases in high school girls' heights cause their IQ scores to dęcrease.
there is a significant linear correlation
Print
Done
OF As high school girls' heights increase, their IQ scores tend to decrease
there is no correlation
(d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation c
The critical value is. Therefore, there
sufficient evidence at the 1% level of significance to conclude that
O M
between high school girls' heights and their IQ scores.
(Round to three decimal places as needed.)
Transcribed Image Text: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. 52 Height (inches) 68 130 Height (inches) 90 52 68 Height (inches) (b) Calculate the sample correlation coefficient r. Data Table - X r= -0.049 (Round to three decimal places as needed.) Height, x IQ score, y (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. 63 107 59 100 There is no linear correlation. 64 103 67 112 Interpret the correlation. Choose the correct answer below. 58 93 63 109 A. Based on the correlation, there does not appear to be a linear relationship between high school girls' heights and their IQ scores. 65 116 O B. Increases in high school girls' heights cause their IQ scores to increase. O C. As high school girls' heights increase, their IQ scores tend to increase. 55 127 CD. Based on the correlation, there does not appear to be any relationship between high school girls' heights anc OE. Increases in high school girls' heights cause their IQ scores to dęcrease. there is a significant linear correlation Print Done OF As high school girls' heights increase, their IQ scores tend to decrease there is no correlation (d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation c The critical value is. Therefore, there sufficient evidence at the 1% level of significance to conclude that O M between high school girls' heights and their IQ scores. (Round to three decimal places as needed.)
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.
52
68
90
130
Height (inches)
52
Height (inches)
Height (inches)
68
(b) Calculate the sample correlation coefficient r.
Data Table
- X
r= -0.049
(Round to three decimal places as needed.)
Height, x
IQ score, y
(c) Describe the type of correlation, if any, and interpret the correlation in the context of the data.
63
107
59
100
There is no
linear correlation.
64
103
67
112
Interpret the correlation. Choose the correct answer below.
58
93
63
109
Based on the correlation, there does not appear to be a linear relationship between high school girls' heights and their IQ scores.
65
116
O B. Increases in high school girls' heights cause their IQ scores to increase.
55
127
O c. As high school girls' heights increz
7s tend to increase.
XD. Based on the correlation, there do
be any relationship between high school girls' heights and their IQ scores.
2 scores to decrease.
es tend to decrease.
O E. Increases in high school girls' heig
is not
Print
Done
OF. As high school girls' heights increa
is
(d) Use the table of critical values for the I
an coefficient to make a conclusion about the correlation coefficient. Let a = 0.01.
The critical value is. Therefore, there
sufficient evidence at the 1% level of significance to conclude that
V between high school girls' heights and their IQ scores.
(Round to three decimal places as needed.)
Transcribed Image Text: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. 52 68 90 130 Height (inches) 52 Height (inches) Height (inches) 68 (b) Calculate the sample correlation coefficient r. Data Table - X r= -0.049 (Round to three decimal places as needed.) Height, x IQ score, y (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. 63 107 59 100 There is no linear correlation. 64 103 67 112 Interpret the correlation. Choose the correct answer below. 58 93 63 109 Based on the correlation, there does not appear to be a linear relationship between high school girls' heights and their IQ scores. 65 116 O B. Increases in high school girls' heights cause their IQ scores to increase. 55 127 O c. As high school girls' heights increz 7s tend to increase. XD. Based on the correlation, there do be any relationship between high school girls' heights and their IQ scores. 2 scores to decrease. es tend to decrease. O E. Increases in high school girls' heig is not Print Done OF. As high school girls' heights increa is (d) Use the table of critical values for the I an coefficient to make a conclusion about the correlation coefficient. Let a = 0.01. The critical value is. Therefore, there sufficient evidence at the 1% level of significance to conclude that V between high school girls' heights and their IQ scores. (Round to three decimal places as needed.)
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