Loose-leaf Version for The Basic Practice of Statistics 7e & LaunchPad (Twelve Month Access)
Loose-leaf Version for The Basic Practice of Statistics 7e & LaunchPad (Twelve Month Access)
7th Edition
ISBN: 9781319019334
Author: David S. Moore, William I. Notz, Michael A. Fligner
Publisher: W. H. Freeman
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Chapter 29, Problem 29.44E

a.

To determine

To fit: A multiple regression model for predicting Hgt97.

The regression standard error.

Whether the fit is good fit or not.

To comment: The value of R2.

To plot: The residuals against the predicted values.

  • b.
To determine

  • To construct: A correlation matrix with Hgt90, Hgt96, Diam96, Grow96, Hgt97, Diam97, Speed97 and Needles97.
  • To explain: The variable that is most strongly correlated with response variable of interest (Hgt97).
  • To check: Whether it makes any sense or not.

  • c.
To determine

  • To explain: Whether the model has better job in predicting tree height in 1997 after adding Hgt96 or not.

  • d.
To determine

  • To explain: Whether there is any change to the individual t statistic for Hgt90 when adding Hgt96 to the model or not.

  • e.
To determine

  • To fit: A multiple regression model for predicting Hgt97 based on the explanatory variables Diam97, Hgt96, and Fert.
  • To summarize: The results of the individual t tests.

To check: Whether the model provide a better fit, comparing with previous models by using R2 and s values for each model or not.

f.

To determine

To check: Whether the parameter estimate for the variable indicating whether a tree was fertilized or not have the expected sign.

g.

To determine

To explain: Whether the model in part (e) should be used for predicting growth in other pine seedling or not.

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To  evaluate  the  success  of  a  1-year  experimental  program  designed  to  increase  the  mathematical achievement of underprivileged high school seniors, a random sample of participants in the program will be selected and their mathematics scores will be compared with the previous year’s  statewide  average  of  525  for  underprivileged  seniors.  The  researchers  want  to  determine  whether the experimental program has increased the mean achievement level over the previous year’s statewide average. If alpha=.05, what sample size is needed to have a probability of Type II error of at most .025 if the actual mean is increased to 550? From previous results, sigma=80.
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