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 help solve sub question e given below e. Calculate Rsquared and explain what it means in statistical terms.

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Author:Amos Gilat
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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 help solve sub question e given below

e. Calculate Rsquared and explain what it means in statistical terms.

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
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