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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O REGRESSION AND CORRELATION
Computing the sample correlation coefficie.
OOD OD
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 1
scatter plot.
Birthrate, x
(number of
Female life
еxpectancy, у
births per 1000
рор.)
(in years)
pop.
47.0
63.3
32.0
62.8
35.5
66.5
75
27.2
72.8
47.3
58.6
51.8
54.3
25.5
73.0
55
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 IU
places.
What is the value of the y-intercent of the least-squares
regression line for these data? Round your answer to at least
two decimal places.
Explanation
Check
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