Below are bivariate data giving birthrate and life expectancy information for each of twelve countries. For each of the countries, both the number of births x per one thousand people in the population and the female life expectancy y (in years) are given. These data are displayed in the Figure scatter plot. Birthrate, x (number of births per 1000 Female life expectancy, y (in years) pop.) 47.0 63.3 32.0 62.8 35.5 66.5 27.2 72.8 47.3 58.6 51.8 54.3 25.5 73.0 49.9 59.0 14.7 77.3 39.3 65.8 18.9 72.4 Figure 1 14.8 74.3 Send data to Excel The value of the sample correlation coefficient , for these data is approximately -0.938. Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. (If necessary, consult a list of formulas.) What is the value of the slope of the least-sauares.regression line for these data? Round your answer to at least two decimal U places. What is the value of the yintercent of the least-squares regression line for these data? Round your answer to at least two decimal places.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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