Question

In: Statistics and Probability

Once the independent and dependent variables are identified correctly, regression analysis is often thought of as a Three Step Process:

Once the independent and dependent variables are identified correctly, regression analysis is often thought of as a Three Step Process:

  1. What is the conclusion of the null hypothesis, Ho: B1=0;
  2. If there is an association between X and Y, how strong is this association?
  3. What are the values of the regression coefficients?

How would you explain this three step process to someone who has no knowledge of regression analysis?

Solutions

Expert Solution

 

1.H0; 1=0

This is null hypothesis.If this is true.then the population mean of y is 0

E(y)=0+1x=1=0+0=0

which tell that x has no effect on4.

here x is independent &4 is dependent variable.

1 is referred as slop.

if=0 then slop of regression line is horizontal.

2. If there is an association between x and 4.

then association is measure by correlation between x and 4. A correlation of r=0.9 suggest strong association between x and y.

3. regression coeffients denoted by bxy&bgx and it lies between - to.

# layman term of above procedure

regression analysis investigates the relationship between a dependent ( target)and

independent c prector)variable.

example;-

relation ship between rash driving and number of road accidents by a drver is studied through regression in this case.

1. ho: 1=0

if this is true than there is no

relation between rash driving and number of road accident

2.correlation is measure of association

or measure the strength how strongly rash driving also increases.

then rash driving also increases

3.regression coefficient tells that change inthe value of depentent variable i.e rash driving corresponding to the unit change inthe independent

variable i.e number of road accidents

it value lies between (- to ).


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