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

SHARES AND DIVIDEND, PLEASE PROVIDE SOME STUFF TO WRITE ON SHARES AND DIVID...

PLEASE PROVIDE SOME STUFF TO WRITE ON SHARES AND DIVIDEND

Multiplication and division should be learnt intermeshed, E1) Do you agree ...

E1) Do you agree that multiplication and division should be learnt intermeshed with each other, or not? Give reasons for your answer.  E2) How would you explain to children wh

What is transitive relations:, R is called as a transitive relation if (a, ...

R is called as a transitive relation if (a, b) € R, (b, c) € R → (a, c) € R In other terms if a belongs to b, b belongs to c, then a belongs to c.         Transitivity be uns

Determine series is convergent or divergent by radio test, Determine if the...

Determine if the following series is convergent or divergent by using Radio Test. Solution With this first illustration let's be a little careful and ensure that we h

Calculus, Calculus Calculus is a branch of mathematics which describes...

Calculus Calculus is a branch of mathematics which describes how one variable changes in relationship to another variable. It enables us to determine the rate of change of one

Definition of inverse functions, Definition of inverse functions :  Given...

Definition of inverse functions :  Given two one-to-one functions f ( x ) and g ( x ) if ( f o g ) ( x ) = x  AND  ( g o f ) ( x ) = x then we say that f ( x ) & g ( x ) are i

Determine the domain and range of function, Determine the domain of each of...

Determine the domain of each of the following functions.                         f( x ) = x - 4 / x 2 - 2 x -15 Solution With this problem we have to avoid division by

Velocity of a skydiver (calculus), using v=g/k(1-e^-kt) find the velocity o...

using v=g/k(1-e^-kt) find the velocity of the skydiver when k is 0.015

Combination, three complain forces of magnitudes 20N 30N and 45N

three complain forces of magnitudes 20N 30N and 45N

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