An instructor in a statistics course set a final examination and also required the students to do a data analysis project. For a random sample of 10 students, the scores obtained are shown in the table. Find the sample correlation between the examination and project scores. Examination 81 62 74 78 93 69 72 83 90 84 Project 76 71 69 76 87 62 80 75 92 79
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.
An instructor in a statistics course set a final examination and also required the students to do a data analysis project. For a random sample of 10 students, the scores obtained are shown in the table. Find the sample
Examination 81 62 74 78 93 69 72 83 90 84
Project 76 71 69 76 87 62 80 75 92 79
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cov(x,y) =∑xiyi÷n-xbar*ybar
=60862÷10-78.6*76.7
= 57.58
v(x) = ∑xi2÷n-xbar2
= 62604÷10-78.62
= 82.44
σx = 9.079
v(y) = ∑yi2÷n-ybar2
=59497÷10-76.72
= 66.9
σy =8.179
please help me write the formula a little bit clearly and clear solution.
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