The accompanying table shows the height (in inches) of 8 high school girls and their scores on an l0 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. 130 120 110 100- 130 120 110 g 100 64 64 +++++ 60 60 130 Heght nches) Height (nohes) Heght nehes) Heght nches) (b) Calculate the sample correlation coefficient r. (Round to three decimal places as needed) Data table (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. There is [ ] inear correlation. Height, x Ю score, y no 61 105 Interpret the correlation. Choose the correct answer below. 58 99 65 102 O A. As high school girls'heights increase, their IQ scores tend to decrease. O B. Increases in high school girls' heights cause their IQ scores to decrease. OC. Based on the correlation, there does not appear to be a linear relationship between high school girls' heights and their IQ scores. OD. Increases in high school girls' heights cause their IQ scores to increase. OE. Based on the correlation, there does not appear to be any relationship between high school girls' heights and their IQ scores. OF. As high school girls' heights increase, their IQ scores tend to increase. 66 111 59 90 64 108 64 115 55 122 . (d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let a=0.01. Print Done V sufficient evidence at the 1% level of significance to conclude that V . | between high school gits heights and their 1Q scores. The critical value is Therefore, there (Raund te three decimal places as needed)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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.
68-
130-
130-
68-
120-
120-
64-
64-
110-
110-
60-
60-
100-
100-
56-
90-
90-
56-
52+
80
80+
52
80-
52
52+
80
130
Height (inches)
68
68
130
Height (inches)
Height (inches)
Height (inches)
(b) Calculate the sample correlation coefficient r.
r=D
(Round to three decimal places as needed.)
Data table
(c) Describe the type of correlation, if any, and interpret the correlation in the context of the data.
There is
linear correlation.
Height, x
IQ score, y
no
61
105
Interpret the correlation. Choose the correct answer below.
58
99
65
102
O A. As high school girls' heights increase, their IQ scores tend to decrease.
66
111
O B. Increases in high school girls' heights cause their IQ scores to decrease.
59
90
64
108
OC. Based on the correlation, there does not appear to be a linear relationship between high school girls' heights and their IQ scores.
64
115
O D. Increases in high school girls' heights cause their IQ scores to increase.
55
122
O E. Based on the correlation, there does not appear to be any relationship between high school girls' heights and their IQ scores.
O F. As high school girls' heights increase, their IQ scores tend to increase.
(d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let a = 0.01.
Print
Done
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.)
1Q score
1Q score
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. 68- 130- 130- 68- 120- 120- 64- 64- 110- 110- 60- 60- 100- 100- 56- 90- 90- 56- 52+ 80 80+ 52 80- 52 52+ 80 130 Height (inches) 68 68 130 Height (inches) Height (inches) Height (inches) (b) Calculate the sample correlation coefficient r. r=D (Round to three decimal places as needed.) Data table (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. There is linear correlation. Height, x IQ score, y no 61 105 Interpret the correlation. Choose the correct answer below. 58 99 65 102 O A. As high school girls' heights increase, their IQ scores tend to decrease. 66 111 O B. Increases in high school girls' heights cause their IQ scores to decrease. 59 90 64 108 OC. Based on the correlation, there does not appear to be a linear relationship between high school girls' heights and their IQ scores. 64 115 O D. Increases in high school girls' heights cause their IQ scores to increase. 55 122 O E. Based on the correlation, there does not appear to be any relationship between high school girls' heights and their IQ scores. O F. As high school girls' heights increase, their IQ scores tend to increase. (d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let a = 0.01. Print Done 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.) 1Q score 1Q score
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