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

Rational Number Application, in the horizontal bar event the u.s.a scored 2...

in the horizontal bar event the u.s.a scored 28.636,gremany scroed 28.7,romnia scored 27.962,and chain scored 28.537 points.which list shows these scored in descending order

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

Rules of logarithms, Rule 1 The logarithm of 1 to any base is 0. Pro...

Rule 1 The logarithm of 1 to any base is 0. Proof We know that any number raised to zero equals 1. That is, a 0 = 1, where "a" takes any value. Therefore, the loga

Example of addition, Example 1 Add 4x 4 + 3x 3 - ...

Example 1 Add 4x 4 + 3x 3 - x 2 + x + 6 and -7x 4 - 3x 3 + 8x 2 + 8x - 4 We write them one below the other as shown below.

Draw a common graph y = sin ( x ), Graph y = sin ( x ) Solution : As a...

Graph y = sin ( x ) Solution : As along the first problem in this section there actually isn't a lot to do other than graph it.  Following is the graph. From this grap

How many pages must he read before he takes a break, Joey has 30 pages to r...

Joey has 30 pages to read for history class tonight. He decided in which he would take a break while he finished reading 70% of the pages assigned. How many pages must he read befo

Evaluate the volume of cylinder, If the diameter of a right cylinder is dou...

If the diameter of a right cylinder is doubled and the height is tripled, its volume is a. multiplied by 12. b. multiplied by 2. c. multiplied by 6 d. multiplied by 3.

Minima, Minima, Maxima and points of inflexion a)      Test for rela...

Minima, Maxima and points of inflexion a)      Test for relative maximum Consider the given function of x whose graph is presented by the figure given below

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