A researcher was trying to establish a relationship between height and weight of individuals. For this purpose he decided to take a random sample of 10 persons and noted their height in cms and weight in Kgs . The data is given below.: Height in cms - 150,147,132,160,153,155,162,146,137 ,140 ; Weights (kgs) respectively are 60,47,52,65,67,55,70,63,57,64. The relationship is as follows: height = 104.93 + 0.721; weight and weight = 2.33 + 0.389 height. Please help me how to calculation the variation value. The explained variation in height based on weight is a) 28 b) 35 c) 373 d) 0.451 The explained variation in weight based on height is a) 35 b) 373 c) 451 d) 0.28
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.
A researcher was trying to establish a relationship between height and weight of individuals. For this purpose he decided to take a random sample of 10 persons and noted their height in cms and weight in Kgs . The data is given below.:
Height in cms - 150,147,132,160,153,155,162,146,137 ,140 ;
Weights (kgs) respectively are 60,47,52,65,67,55,70,63,57,64.
The relationship is as follows:
height = 104.93 + 0.721; weight and weight = 2.33 + 0.389 height.
Please help me how to calculation the variation value.
The explained variation in height based on weight is
- a) 28
- b) 35
- c) 373
- d) 0.451
The explained variation in weight based on height is
- a) 35
- b) 373
- c) 451
- d) 0.28
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