Linear regression mode, Applied Statistics

Assignment Help:

The State Department of Taxation wishes to investigate the effect of experience, x, on the amount of time, y, required to fill out Form ST 1040AVG, the state income-averaging form. In order to do this, nine people whose financial status makes income averaging advantageous are chosen at random. Each is asked to fill out the form and report (1) the time y (in hours) required to complete the form and (2) the number of times x (including this one) that he or she has filled out this form.  The following data are obtained:

       Completion time,  8.0    4.7    3.7    2.8    8.9    5.8    2.0    1.9    3.3

          y (in hours)

       Experience, x          1       8       4     16       1       2     12       5       3

       A model of these data is shown below:

                             y = βo + β1 (1/x) + €     

     a) Plot y versus x, with y being the vertical axis.

b) Plot y versus 1/x, with y being the vertical axis. Does this plot support the given simple linear regression model for y?  If your answer is yes, what is the dependent variable and what is the independent variable?


Related Discussions:- Linear regression mode

Multiple regressions, A sample of 43 houses that were purchased in the Sout...

A sample of 43 houses that were purchased in the Southern California town Monrovia within a month was collected. We are interested in the study of the relationships between Price a

Calculate total surplus, When the number of farmers growing wheat in Russia...

When the number of farmers growing wheat in Russia increases, the increase in world supply lowers the world price of wheat. Draw an appropriate diagram to analyze how this chang

Show the hypothesis test, The file Midterm Data.xls has a tab labeled "Inc...

The file Midterm Data.xls has a tab labeled "Income Data 2009". This data is collected income data from a sample of 400 people in 2009. Use a hypothesis test to see whether the av

Geometric mean, Geometric Mean The geometric mean   of numbers is defin...

Geometric Mean The geometric mean   of numbers is defined as the th root of the product of numbers .It is obtained by multiplying all the values of a variable and then extracti

Deviation measures, Deviation Measures The drawback of the range as a m...

Deviation Measures The drawback of the range as a measure of dispersion is that it takes into account the values of only two data points - the largest and the smallest. One

Cluster analysis, Cluster Analysis could be also represented more formally ...

Cluster Analysis could be also represented more formally as optimization procedure, which tries to minimize the Residual Sum of Squares objective function: where μ(ωk) - is a centr

Measurement errors models, How can we analyse data with four bilateral resp...

How can we analyse data with four bilateral response variables measured with errors and three covariated measured without errors?

The incidence of occupational disease , The incidence of occupational disea...

The incidence of occupational disease in an industry is such that the workers have a 20% chance of suffering from it. What is the probability that out of six workers 4 or more will

Compute a correlation coefficient, A researcher was interested lowering the...

A researcher was interested lowering the high school dropout level in his county. He measured the reading level of students entering middle school (based on a standard test) and th

Binomial distribution, Binomial Distribution Binomial distribution  was...

Binomial Distribution Binomial distribution  was discovered by swiss mathematician James  Bernonulli, so this distribution is called as Bernoulli distribution also, this is a d

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