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...


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6. Data on GNP per capita and Birth Rate (births per thousand inhabitants) for a sample<br>of 14 countries is displayed below, along with summary statistics (correlation<br>coefficient, sample means and standard deviations for each of the variables):<br>Country<br>Bangladesh<br>Tanzania<br>Sierra Leone<br>Sudan<br>GNP per cap<br>140<br>Birth Rate<br>47<br>280<br>47<br>320<br>46<br>380<br>47<br>Kenya<br>Indonesia<br>420<br>55<br>530<br>35<br>Panama<br>1910<br>30<br>Chile<br>2560<br>25<br>Venezuela<br>4220<br>35<br>Turkey<br>Malaysia<br>Nepal<br>Malawi<br>1540<br>33<br>1840<br>31<br>150<br>44<br>200<br>56<br>Argentina<br>2560<br>20<br>1217.857143<br>standard deviation 1253.335111<br>correlation coeffici -0.730642881,<br>mean<br>39.35714286<br>11.02170685<br>a. The equation for a line of regression, ŷ = a + bx, is:<br>bırth rate = a + bgnp<br>where gnp is the explanatory variable for the birth rate, the response variable. Using<br>the summary statistics given above, show how to calculate both the slope coefficient<br>and the intercept (do not round any numbers until the end). Show all working out.<br>The estimates of a and b (correct to 4 d.p.) from the above dataset are:<br>a = 47.1821<br>b=- 0.0064<br>

Extracted 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
f. Briefly explain what information the estimated equation in (a.) for<br>bırth rate = a + bgnp tells you about the relationship between GNP and birth<br>rates.<br>

Extracted text: f. Briefly explain what information the estimated equation in (a.) for bırth rate = a + bgnp tells you about the relationship between GNP and birth rates.

Jun 08, 2022
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