(c) Determine whether there is a linear relation between x and y. Because the correlation coefficient is and the absolute value of the correlation coefficient, is V than the critical value for this data set, V linear relation exists betw (Round to three decimal places as needed.)
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
3
![For the accompanying data set, (a) draw a scatter diagram of the data, (b) by hand, compute the correlation coefficient, and (c) determine whether there is a linear relation between x and y.
Click here to view the data set.
Click here to view the critical values table.
(a) Draw a scatter diagram of the data. Choose the correct grap
Data set
A.
Ay
20-
Ay
20-
2
4
6.
6
7
y
4
11
14
19
X
0-
0-
10
10
10
Print
Done
(b) By hand, compute the correlation coefficient.
The correlation coefficient isr= .94. (Round to three decimal places as needed.)
(c) Determine whether there is a linear relation between x and y.
Because the correlation coefficient is
and the absolute value of the correlation coefficient,
is
than the critical value for this data set,
linear relation exists between x and
у.
(Round to three decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6a2d4d80-cdb0-43d9-af03-99b246cbf538%2Ff899fc14-1512-49dc-8c3b-37cf9e307d50%2Fmatxmyh_processed.png&w=3840&q=75)
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