LINEAR CORRELATION PROJECT / Topic: Does per capita income affect birth rates I need help with the trendline, the hypothesis, and conclusion, any confounding variables there might be and the r- value, and compare the r-value to the appropriate cutoff value, with correct interpretation. (remember for a sample size of 20, the absolute value of r should be greater than 0.45) The regression equation is: y=21.129−0.108xwhere y: average birth rate and x: per capita incomey and x is negatively related i.e with increase in x , y decreses and vice versa ((* for a sample size of 20, the absolute value of r should be greater than 0.45))
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
The regression equation is: y=21.129−0.108xwhere y: average birth rate and x: per capita incomey and
x is negatively related i.e with increase in x , y decreses and vice versa
((* for a sample size of 20, the absolute value of r should be greater than 0.45))
| Country | Per Capita Income | Average Birth Rate |
| Afghanistan | $ 530 | 37.9 |
| Austria | $ 51,460 | 9.5 |
| Cambodia | $ 1,530 | 23 |
| Canada | $ 46,370 | 10.3 |
| Denmark | $ 63,950 | 10.5 |
| Ecuador | $ 6,090 | 17.9 |
| Ethiopia | $ 850 | 36.5 |
| France | $ 42,450 | 12.2 |
| Haiti | $ 1,330 | 23 |
| India | $ 2,120 | 19 |
| Kenya | $ 1,750 | 23.9 |
| Monaco | $ 186,080 | 6.6 |
| Nigeria | $ 2,030 | 36.9 |
| Peru | $ 6,740 | 17.8 |
| Philippines | $ 3,850 | 23.7 |
| Switzerland | $ 85,500 | 24 |
| South Africa | $ 6,040 | 20.2 |
| Turkey | $ 9,690 | 15.7 |
| United States | $ 65,850 | 12.5 |
| Venezuela | $ 13,080 | 18.8 |
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