Sequential sum of squares

Assignment Help Basic Statistics
Reference no: EM13921775

a) Fill in the blanks in the following tables. The column labeled "Seq SS" represents "sequential sums of squares" (measures the reduction in the SS when a term is added to a model that contains only the terms before it), while the column labeled "Adj SS" represents "adjusted sums of squares" (measures the reduction in the SS for each term relative to a model that contains all of the remaining terms). [Hint: The t-statistics in the Coefficients table assume all other predictors are included in the model, so if we square these we get the F-statistics in the Anova table based on Adjusted Sums of Squares.]

Source    df    Seq SS    Adj SS    F-statistic
based on Adj SS    p-value
based on Adj SS
Regression    3    100.866        35.14    0.000
X1    1    67.444    33.031    34.52    0.000
X2    1    3.883            
X3    1            30.88    0.000
Error    93            ----    -------
Total    96    189.842    189.842    ----    -------

Coefficients
Term    Coef    SE coef    t-statistic    p-value
Constant    0.58    1.24    0.45    0.652
X1    0.34    0.058    5.88    0.000
X2    -0.01    0.0245        
X3    0.06    0.0103    5.56    0.000

b) Calculate SSR(X3|X1), that is the sequential sum of squares obtained by adding X3 to a model already containing only the predictor X1. Show your work.

c) Calculate the value of an F-statistic for testing H0: β2 = β3 = 0 within the model Yi = β0 + β1 Xi,1 + β2 Xi,2 + β3 Xi,3 + εi. It is not necessary to carry out the test - just calculate the value of F. Show your work.

d) Calculate the value of the coefficient of partial determination R2Y,2|1.

Reference no: EM13921775

Questions Cloud

Name and describe the four types of prisons for adults : Directions: Unless otherwise stated, answer in complete sentences, and be sure to use correct English spelling and grammar. Your textbook discusses prison security levels. Name and describe the four types of prisons for adults
Describe the revocation hearing process : Your textbook discusses a revocation hearing. For this assignment, describe the revocation hearing process. Include two options after a finding of "guilty," other than prison or continued supervision
Purchase and installation costs of equipment : A building in which a car wash could be installed is available under a five-year lease at a cost of $3,300 per month.Purchase and installation costs of equipment would total $305,000. In five years the equipment could be sold for about 10% of its ori..
Describe chase-production, level production : In production strategies, describe chase-production, Level Production and mixed-combination. Give an example of each in logistics field.
Sequential sum of squares : Calculate SSR(X3|X1), that is the sequential sum of squares obtained by adding X3 to a model already containing only the predictor X1. Show your work.
Discuss the likely short-run and long-run effects : How can cross elasticities be used to help define the relevant firms in an industry? Suppose the price of heating oil increases significantly. Discuss the likely short-run and long-run effects.
In mass selection method the progenies are grow in : In mass selection method the progenies are grow in?
Discuss the legal position in this case : Frank Williams and Matilda Jackson met ten years ago. Three years later, Matilda moved into Frank's house, which he inherited from his parents. Discuss the legal position in this case
Partial anova table : What is the difference between linear impact and linear correlation?

Reviews

Write a Review

Basic Statistics Questions & Answers

  Normal probability and margin of error

A population has a mean of 80 and a standard deviation of 7. A sample of 49 observations will be taken. The probability that the sample mean will be larger than 82 is?

  Given that z is standard normal random variable compute the

given that z is standard normal random variable compute the following probabilitiesa p-1lt-zlt-0b

  Major league baseball mlb uses a best of 7 series to

major league baseball mlb uses a best of 7 series to determine the winner for the finals the winner must win 4 games.

  The number of misprints per page of text is commonly

the number of misprints per page of text is commonly modeled by a poisson distribution. it is given that the parameter

  Find mean and standard deviation of sampling distribution

Find the mean and the standard deviation of the sampling distribution of x, and find an interval containing 95.44 percent of all possible sample mean returns.

  Construct a 95 confidence interval for the average waiting

the macburger restaurant chain claims that customers mean waiting time is 3 minutes. the quality assurance department

  Chi-square for independence of attributes and marasuilo

Is there evidence of a difference in objection to sharing information among the organizational groupings? (use α = 0.05)

  Find the standard error of the sample proportions

For a random sample of 200 undergraduates he finds that 70 have some kind of allergy. What is the standard error of the sample proportions?

  State your null and alternative hypotheses formally state

a researcher is studying the weight changes that women go through over the course of pregnancy childbirth and

  Your firm which sells a technologically advanced product

your firm which sells a technologically advanced product directly to consumers has developed a new website that has a

  How many students would you need to sample to estimate the

in a large lecture class the professor announced that the scores on a recent exam were normally distributed with a

  Find the probability of randomly selecting an

A standard I.Q. test produces normally distributed results with a mean of 100 and a standard deviation of 15. If an average I.Q. is defined to be any I.Q. between 90 and 109, find the probability of randomly selecting an I.Q. which is average.

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