Given the data set X = 3 6 5 2 Y = 0 15 12 5 Already calculated: ?¯x¯ = 4 and ?¯y¯ = 8 and ??Sx = 1.83 and ??Sy = 6.78 a. Calculate Σ(??−?¯)(??−?¯)Σ(xi−x¯)(yi−y¯) Answer = Answer. b. Calculate correlation coefficient (r). Answer = Answer. Write your answer in 2 decimals.
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.
Given the data set
X = 3 6 5 2
Y = 0 15 12 5
Already calculated: ?¯x¯ = 4 and ?¯y¯ = 8 and ??Sx = 1.83 and ??Sy = 6.78
a. Calculate Σ(??−?¯)(??−?¯)Σ(xi−x¯)(yi−y¯)
Answer = Answer.
b. Calculate
Answer = Answer. Write your answer in 2 decimals.
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