This dataset of size n - 51 is for the 50 states and the District of Columhia in the United States. The variables are y= year 2002 birth rate per 1000 females 15 to 17 years old and =- poverty rate (the percent of the state's population living in households with in comes below the federally defined poverty level) - 51, - 13.1 - 221 S -E( -2) - 914.7 S-E(. - 2)(w – ) - 1, 256.2 sSE - E - - 1, 509.6 S - E( - ) -3, 2349 1. Find . A and r. 2. Write the fitted linear regression model for g, in terms of z, A and A- For A and A, use the values you obtained in problem 1. 3. Interpret the slope of the least squares line based on the context. 4. Flad SST, SSE and sSR. 5. Find R and . 6. Complete a chart for ANOVA Source Regression Eror Total MS pvalue 7. Complete a chart for Parameter Estimates. Parameter Estimate Intercept Slope E-value pvalue Se. 8. What is the residual e, for the ohservation (, ) - (20.1, 31.5)? 9. What is the conclusion for the test Ha : -0 vs Hạ : A+0 with a - a0G? 10. Find 95% confidence interval for and . 11. Based on the linear regression model estimated above, what is the predicted value of . which is . when za- 15.0?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
This dataset of size n - 51 is for the 50 states and the District of Columbia in the
United States. The variables are
- year 2002 birth rate per 1000 females 15 to 17 years old and
z- poverty rate (the percent of the state's population living in households with in-
comes below the federally defined poverty level)
i- 13.1
- 22.3
R- 51,
Su - E(-2) - 914.7
S, - E( -2)( - 6) - 1, 256.2
Su - E(m - M) - 3, 249
SSE - E(w - - 1, 509.6
1. Find A. A and r.
2. Write the fitted linear regression model for ý, in terms of z, A, and A- For A
and , use the values you obtained in problem 1.
3. Interpret the slope of the least squares line based on the context.
4. Find SST, SE and SSR.
5. Find R* and .
6. Complete a chart for ANOVA
df
MS
pvalue
Source
Regression
Error
Total
7. Complete a chart for Parameter Estimates.
t-value
pvalue
Parameter
Intercept
Slope
Estimate
S.e.
8. What is the residual e, for the observation (.) - (20.1,31.5)?
9. What is the conclusion for the test Ha : -0 vs Ho : +0 with a - 0.0G?
10. Find 95% confidence interval for a and A.
11. Based on the linear regression model estimated above, what is the predicted
value of a. which is a, when za - 15.0?
Transcribed Image Text:This dataset of size n - 51 is for the 50 states and the District of Columbia in the United States. The variables are - year 2002 birth rate per 1000 females 15 to 17 years old and z- poverty rate (the percent of the state's population living in households with in- comes below the federally defined poverty level) i- 13.1 - 22.3 R- 51, Su - E(-2) - 914.7 S, - E( -2)( - 6) - 1, 256.2 Su - E(m - M) - 3, 249 SSE - E(w - - 1, 509.6 1. Find A. A and r. 2. Write the fitted linear regression model for ý, in terms of z, A, and A- For A and , use the values you obtained in problem 1. 3. Interpret the slope of the least squares line based on the context. 4. Find SST, SE and SSR. 5. Find R* and . 6. Complete a chart for ANOVA df MS pvalue Source Regression Error Total 7. Complete a chart for Parameter Estimates. t-value pvalue Parameter Intercept Slope Estimate S.e. 8. What is the residual e, for the observation (.) - (20.1,31.5)? 9. What is the conclusion for the test Ha : -0 vs Ho : +0 with a - 0.0G? 10. Find 95% confidence interval for a and A. 11. Based on the linear regression model estimated above, what is the predicted value of a. which is a, when za - 15.0?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman