# Using Regression Functions

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Demonstrate using regression functions by explaining what a regression function is and the factors which should be considered when interpreting results.

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##### Solution Summary

Regression functions are discussed.

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For example, there are n students in a class, we want to analyze if there is a linear relationship between their weight Y and their height X. Now we can get the data of their weight and height, say (x1,y1),(x2,y2),...,(xn,yn). We can use the regression method to find the regression function, say Y=f(X)=a+bX, where a and b are two coefficients, which reflects the relationship ...

###### Education

- BSc , Wuhan Univ. China
- MA, Shandong Univ.

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- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
- "Thank you"
- "Thank you very much for your valuable time and assistance!"

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