Simple linear regression results: Dependent Variable: Height (in.) Independent Variable: Shoe Size (in.) Height (in.) = 52.293743 + 1.3679745 Shoe Size (in.) Sample size: 16 R (correlation coefficient) = 0.72170907 R-sq = 0.52086398 Estimate of error standard deviation: 2.6920127 Parameter estimates: Intercept 52.293743 3.4200195 Slope Parameter Estimate Std. Err. AlternativeDF T-Stat P-value +0 1415.290481<0.0001 +0 14 3.901187 0.0016 1.36797450.35065598 Analysis of variance table for regression model: Source DF SS MS F-stat P-value Model 1110.29295110.2929515.21926 0.0016 Error 14101.457057.2469323 Positiu Total 15 211.75 with Fitted line 0.72 Plot Sh in sho Sontee TIses. Close 64in. Shoe. Height (in.) 72 70 68 66 64o 62 60 12 10 Shoe Size (in.) ito
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.
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