Correlation and regression, Mathematics

Assignment Help:

1. Using given data set (Assignment_1data in the folder)

a) Make scatterplot between "Years since first marriage" and "Total children ever born"

b) Make scatterplot between "Age at first birth" and "Total children ever born".

c) Describe the overall pattern of the relationship. Is the relationship reasonably strong or quite weak? Is it linear? Is there a positive or negative association, or neither? Do variables satisfy the assumption of normality and homoscedasticity?

2. Now use correlation analysis to assess the strength and the direction of the relationship between

a) "Years since first marriage" and "Total children ever born"

b) "Age at first birth" and "Total children ever born".

c) Do the sign and the magnitude of the correlation coefficient confirm the conclusions you reached in Question 1? Explain briefly.

3. Using Regression tool

a) Report the equation of the regression line to predict "Total children ever born" from "Age at first birth". What percent of the variation in "Total children ever born" is explained by "Age at first birth"? Predict total number of children born if age at first birth is 20 yrs.

b) Similarly, report the equation of the least-squares regression line to predict "Total children ever born" from "Years since first marriage". What percent of the variation in "Total children ever born" is explained by "Years since first marriage"? Predict total number of children born for 6 years since first marriage.

c) Explain which of the independent variables is a better predictor of the event and why?


Related Discussions:- Correlation and regression

Probability, Mike sells on the average 15 newspapers per week (Monday – Fri...

Mike sells on the average 15 newspapers per week (Monday – Friday). Find the probability that 2.1 In a given week he will sell all the newspapers

Progressions, The sum of the series 1+1/2+1/4+......is

The sum of the series 1+1/2+1/4+......is

Decision trees illustration, A company is considering whether to enter a ve...

A company is considering whether to enter a very competitive market. In case company decided to enter in market this must either install a new forging process or pay overtime wages

Trignometric functions, sir kindly guide me in 1st order linear equations.

sir kindly guide me in 1st order linear equations.

Example of least common denominator, Example of Least Common Denominator: ...

Example of Least Common Denominator: Example: Add 1/7 +2 /3 + 11/12 + 4/6 Solution: Step 1:             Find out primes of each denominator. 7 = 7 (already is

Testing the hypothesis equality of two variances, Testing the hypothesis eq...

Testing the hypothesis equality of two variances The test for equality of two population variances is based upon the variances in two independently chosen random samples drawn

Horizontal asymptotes, Horizontal asymptotes : Such as we can have vert...

Horizontal asymptotes : Such as we can have vertical asymptotes defined in terms of limits we can also have horizontal asymptotes explained in terms of limits. Definition

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd