What do you expect to happen to the crude birth rate

Reference no: EM131397013

Plot the scatter diagram using the crude birth rate as the Y variable and GDP per capita as the X variable from the data given in given Problem.

(a) Fit a least-squares regression line and compute T.

(b) Try a transformation on X and recompute r. Did it increase, and if so, why?

Problem
The following table contains data from 17 countries. These countries are a systematic sample from twice this number of countries that had a population > 30 million people in 1998 and had complete data. The data were taken from the US. Bureau of the Census, Statistical Abstracts of the United States; 1998, 118th ed., Washington, DC. It consists of the crude birth rate (CBR) or the total number of births divided by the total population in 1998, life expectancy (LifeExp) from birth in years for the overall population, and gross domestic product (GDP) per capita for 1995. The GDP has been adjusted and then converted to U.S. dollars.

Country CBR LifeExp GDP

Argentina 20 74.5 7,909

Brazil 20.9 64.4 4,080

Canada 12.1 79.2 19,000

Colombia 24.9 70.1 2,107

Egypt 27.3 62.1 746

France 11.7 78.5 26,290

India 25.9 62.9 348

Iran 31.4 68.3 2,449

Japan 10.3 80.0 41,160

Mexico 25.5 71.6 2,521

Pakistan 34.4 59.1 482

Poland 9.8 72.8 5,404

S. Africa 26.4 55.7 3,185

Tanzania 40.8 46.4 134

Thailand 16.8 69.0 2,806

United Kindgom 12.0 77.2 19,020

United States 14.4 76.1 27,550

(a) State which model the data in the table follows.

(b) Plot the scatter diagram when X = life expectancy and Y = crude birth rate and fit a regression line.

(d) If life expectancy increased by 10 years, what do you expect to happen to the crude birth rate?

(e) Test that Ho : β = 0. If you test that p = 0, will you get the same P value?

Reference no: EM131397013

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