Data on GNP per capita and Birth Rate (births per thousand inhabitants) for a sample of 14 countries is displayed below, along with summary statistics (correlation coefficient, sample means and standard deviations for each of the variables):   Please see attached pics and help respond to sub question a,b and c   Question A is show as a picture   b. The standard error for b is 0.0017 (correct to 4 d.p.). Using this information, calculate the t stat for the slope coefficient, b. Show all workings. c. Use the T tableto find the P Value (the probability of having a T stat value as extreme as yours). Using a significance test of 0.05, state the null hypothesis, and form a conclusion about the findings of the regression.

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
Topic Video
Question

Please help awnser

Data on GNP per capita and Birth Rate (births per thousand inhabitants) for a sample
of 14 countries is displayed below, along with summary statistics (correlation
coefficient
, sample means and standard deviations for each of the variables):

 

Please see attached pics and help respond to sub question a,b and c

 

Question A is show as a picture

 

b. The standard error for b is 0.0017 (correct to 4 d.p.). Using this information,
calculate the t stat for the slope coefficient, b. Show all workings.


c. Use the T tableto find the P Value (the probability of
having a T stat value as extreme as yours). Using a significance test of 0.05, state the
null hypothesis, and form a conclusion about the findings of the regression.

 

Thank you

a. The equation for a line of regression, ŷ = a + bx, is:
bırth rate = a + bgnp
where gnp is the explanatory variable for the birth rate, the response variable. Using
the summary statistics given above, show how to calculate both the slope coefficient
and the intercept (do not round any numbers until the end). Show all working out.
The estimates of a and b (correct to 4 d.p.) from the above dataset are:
a = 47.1821
b = - 0.0064
Transcribed Image Text:a. The equation for a line of regression, ŷ = a + bx, is: bırth rate = a + bgnp where gnp is the explanatory variable for the birth rate, the response variable. Using the summary statistics given above, show how to calculate both the slope coefficient and the intercept (do not round any numbers until the end). Show all working out. The estimates of a and b (correct to 4 d.p.) from the above dataset are: a = 47.1821 b = - 0.0064
Country
Bangladesh
Tanzania
GNP per cap Birth Rate
140
47
280
47
Sierra Leone
320
46
Sudan
380
47
420
Kenya
Indonesia
55
530
35
Panama
1910
30
Chile
2560
25
Venezuela
4220
35
33
Turkey
Malaysia
Nepal
Malawi
1540
1840
31
150
44
200
56
Argentina
2560
20
mean
1217.857143
39.35714286
standard deviation 1253.335111
11.02170685
correlation coeffici -0.730642881
Transcribed Image Text:Country Bangladesh Tanzania GNP per cap Birth Rate 140 47 280 47 Sierra Leone 320 46 Sudan 380 47 420 Kenya Indonesia 55 530 35 Panama 1910 30 Chile 2560 25 Venezuela 4220 35 33 Turkey Malaysia Nepal Malawi 1540 1840 31 150 44 200 56 Argentina 2560 20 mean 1217.857143 39.35714286 standard deviation 1253.335111 11.02170685 correlation coeffici -0.730642881
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE 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