The data shown to the right for the dependent variable, y, and the independent variable, x, have been collected using simple random sampling. y 100 10 15 140 a. Construct a scatter plot for these data. Based on the scatter plot, how would you describe the relationship between the two variables? b. Compute the correlation coefficient. 11 110 13 130 14 150 11 120 15 170 12 140
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.
![The data shown to the right for the dependent variable, y, and the independent
variable, x, have been collected using simple random sampling.
y
100
10
15
140
a. Construct a scatter plot for these data. Based on the scatter plot, how would
you describe the relationship between the two variables?
b. Compute the correlation coefficient.
11
110
13 130
14 150
11 120
15 170
12 140
a. Which graph below shows a scatter plot for these data?
O A.
OB.
OC.
OD.
15-
180-
180-
15-
10-
10-
180
10
15
10
180
There appears to be
linear relationship between x and y.
b. What is the correlation coefficient?
r=
(Round to two decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F491b5c0a-5aee-42f5-9251-cecee0be8a10%2Ffcc30ee8-85df-46e5-bba4-c6513ef58968%2F7rhm4tl_processed.png&w=3840&q=75)
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