The table below shows the life expectancy for an individual born in the United States in certain years. Year of Birth Life Expectancy 1930 59.7 1940 62.9 1950 70.2 1965 69.7 1973 71.4 1982 74.5 1987 75 1992 75.7 2010 78.7 A: Calculate the least squares line. Put the equation in the form of ŷ = a + bx.(Round your answers to three decimal places.) B: Find the estimated life expectancy for an individual born in 1973 and for one born in 2010. (Round your answers to one decimal place.) Birthdate in 1973: Birthdate in 2010: C: Using the least squares line, find the estimated life expectancy for an individual born in 1840. (Round your answer to one decimal place.) D: What is the slope of the least-squares (best-fit) line? (Round your answer to three 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.
The table below shows the life expectancy for an individual born in the United States in certain years.
| Year of Birth | Life Expectancy |
|---|---|
| 1930 | 59.7 |
| 1940 | 62.9 |
| 1950 | 70.2 |
| 1965 | 69.7 |
| 1973 | 71.4 |
| 1982 | 74.5 |
| 1987 | 75 |
| 1992 | 75.7 |
| 2010 | 78.7 |
A: Calculate the least squares line. Put the equation in the form of
| Birthdate in 1973: | |
| Birthdate in 2010: |
C: Using the least squares line, find the estimated life expectancy for an individual born in 1840. (Round your answer to one decimal place.)
D: What is the slope of the least-squares (best-fit) line? (Round your answer to three decimal places.)
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