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 dividends, suresh invested rs.1080 in shares of face value rs.50...

suresh invested rs.1080 in shares of face value rs.50 at rs.54.After receiving dividend on them at 8% he sold them at 52.In each of the transaction he paid 2 % brokerage.Hpw much d

Profit and loss, a shopkeeper buys two cameras at the same price . he sells...

a shopkeeper buys two cameras at the same price . he sells one camera at a profit of 18% and the other at a price of 10% less than the selling price of the first camera. find his p

Sequencing., how to select out time for m2

how to select out time for m2

Show that tan = 1/v3 , If 7sin 2 ?+3cos 2 ? = 4, show that tan? =   1/√3  ...

If 7sin 2 ?+3cos 2 ? = 4, show that tan? =   1/√3                      . Ans:    If 7 Sin 2 ? + 3 Cos 2 ? = 4 S.T. Tan?  1/√3 7 Sin 2 ? + 3 Cos 2 ? = 4 (Sin 2 ? + Cos 2 ?)

digraph of r, Let R be the relation on S = {1, 3, 6, 9, 27} defined by aRb...

Let R be the relation on S = {1, 3, 6, 9, 27} defined by aRb iff a|b. (a) Write down the matrix of R. (b) Draw the digraph of R. (c) Explain whether R is reflexive, irrere

Pair of straight lines, the adjacent sides of a parallelogram are 2x2-5xy+3...

the adjacent sides of a parallelogram are 2x2-5xy+3y2=0 and one diagonal is x+y+2=0 find the vertices and the other diagonal

Logorithms, log base 5 (3-2x) + log base 5 (2+x) = 1

log base 5 (3-2x) + log base 5 (2+x) = 1

Find out a vector that is orthogonal to the plane, A plane is illustrated b...

A plane is illustrated by any three points that are in the plane.  If a plane consists of the points P = (1, 0,0) , Q = (1,1,1) and R = (2, -1, 3) find out a vector that is orthogo

Design a diagram by transformation, On a graph, design a diagram by transfo...

On a graph, design a diagram by transformation the given graph of f (x), -2 ≤ x ≤ 2. Briefly Define the other graphs in terms of f (x) and specify their domains. The diagram n

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