Stats: Modeling the World Nasta Edition Grades 9-12
Stats: Modeling the World Nasta Edition Grades 9-12
3rd Edition
ISBN: 9780131359581
Author: David E. Bock, Paul F. Velleman, Richard D. De Veaux
Publisher: PEARSON
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Chapter 27, Problem 34E

a)

To determine

To explain whether the association would appear to be weaker, stronger or the same if data had been plotted for individual babies instead of using monthly averages.

a)

Expert Solution
Check Mark

Answer to Problem 34E

The association would appear to be weaker if data had been plotted for individual babies instead of using monthly averages because the variation is more in individual than averages.

Explanation of Solution

Given:

  Stats: Modeling the World Nasta Edition Grades 9-12, Chapter 27, Problem 34E , additional homework tip  1

The association would appear to be weaker if data had been plotted for individual babies instead of using monthly averages because the variation is more in individual than averages. Therefore, if the variation increases then the association will become weaker.

b)

To determine

To test an appropriate hypothesis.

b)

Expert Solution
Check Mark

Answer to Problem 34E

There is sufficient evidence to support a claim that there is an association between Temperature and Crawling Age.

Explanation of Solution

Given:

  Stats: Modeling the World Nasta Edition Grades 9-12, Chapter 27, Problem 34E , additional homework tip  2

The null and alternative hypotheses:

  H0:β1=0Ha:β10

Using excel,

  Stats: Modeling the World Nasta Edition Grades 9-12, Chapter 27, Problem 34E , additional homework tip  3

Test statistic:

t = -3.237

Therefore, p-value would be,

P-value = .00890

Decision: P-value < 0.05, reject H0.

Conclusion: There is sufficient evidence to support a claim that there is an association between Temperature and Crawling Age.

c)

To determine

To find the 95% confidence interval for the slope of the regression line.

c)

Expert Solution
Check Mark

Answer to Problem 34E

We are 95% confident that the slope of the population of regression line is between -0.1344 and -0.0248.

Explanation of Solution

Given:

  Stats: Modeling the World Nasta Edition Grades 9-12, Chapter 27, Problem 34E , additional homework tip  4

Using excel,

  Stats: Modeling the World Nasta Edition Grades 9-12, Chapter 27, Problem 34E , additional homework tip  5

Therefore, we are 95% confident that the slope of the population of regression line is between -0.1344 and -0.0248.

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