6. 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): GNP per cap Birth Rate Country Bangladesh Tanzania 140 47 280 320 47 Sierra Leone 46 Sudan 380 47 Kenya Indonesia 420 55 530 1910 2560 4220 35 Panama 30 Chile 25 Venezuela Turkey Malaysia Nepal Malawi 35 1540 33 1840 31 150 200 44 56 Argentina 2560 20 1217.857143 standard deviation 1253.335111 correlation coeffici -0.730642881, mean 39.35714286 11.02170685 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.

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6. 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):
Country
Bangladesh
Tanzania
Sierra Leone
Sudan
GNP per cap
140
Birth Rate
47
280
47
320
46
380
47
Kenya
Indonesia
420
55
530
35
Panama
1910
30
Chile
2560
25
Venezuela
4220
35
Turkey
Malaysia
Nepal
Malawi
1540
33
1840
31
150
44
200
56
Argentina
2560
20
1217.857143
standard deviation 1253.335111
correlation coeffici -0.730642881,
mean
39.35714286
11.02170685
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:6. 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): Country Bangladesh Tanzania Sierra Leone Sudan GNP per cap 140 Birth Rate 47 280 47 320 46 380 47 Kenya Indonesia 420 55 530 35 Panama 1910 30 Chile 2560 25 Venezuela 4220 35 Turkey Malaysia Nepal Malawi 1540 33 1840 31 150 44 200 56 Argentina 2560 20 1217.857143 standard deviation 1253.335111 correlation coeffici -0.730642881, mean 39.35714286 11.02170685 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
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