Life expectancy at birth is the estimated lifespan of a baby born in a particular year given the conditions of that time period. The regression line is y=0.205x-336, where x=birth year and y=US life male expectancy in years. The value of r2 is 0.981a. use the regression line to estimate the US life expetancy of a male baby born in 1990, to the nearest tenth of a year.b. use the regression line to predict the US life expectancy of a male baby born in 2014, to the nearest tenth of a year.c. what is the slope regression line and what are the units of measurement? **Title:** U.S. Male Life Expectancy at Birth**Graph Explanation:**This line graph illustrates the trend in the life expectancy of males in the United States from 1950 to 2020. **Axes:**- The horizontal axis (x-axis) represents the birth year, ranging from 1950 to 2020.- The vertical axis (y-axis) indicates life expectancy in years, ranging from 64 to 78.**Data:**- Blue diamonds represent the actual recorded data points for life expectancy at birth during each year.- A fitted line is included, showing a positive trend where life expectancy generally increases over time.**Equation and Statistics:**- The equation of the line is given as $y = 0.205x - 336$, where $y$ represents life expectancy and $x$ is the birth year. This suggests that for every passing year, life expectancy increased by approximately 0.205 years.- The $R^2$ value is 0.981, indicating a very strong correlation between the birth year and life expectancy over this period, suggesting the model fits the data well.

Answered: Life expectancy at birth is the…

MATLAB: An Introduction with Applications

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Life expectancy at birth is the estimated lifespan of a baby born in a particular year given the conditions of that time period. The regression line is y=0.205x-336, where x=birth year and y=US life male expectancy in years. The value of r²is 0.981

a. use the regression line to estimate the US life expetancy of a male baby born in 1990, to the nearest tenth of a year.

b. use the regression line to predict the US life expectancy of a male baby born in 2014, to the nearest tenth of a year.

c. what is the slope regression line and what are the units of measurement?

**Title:** U.S. Male Life Expectancy at Birth

**Graph Explanation:**

This line graph illustrates the trend in the life expectancy of males in the United States from 1950 to 2020.

**Axes:**
- The horizontal axis (x-axis) represents the birth year, ranging from 1950 to 2020.
- The vertical axis (y-axis) indicates life expectancy in years, ranging from 64 to 78.

**Data:**
- Blue diamonds represent the actual recorded data points for life expectancy at birth during each year.
- A fitted line is included, showing a positive trend where life expectancy generally increases over time.

**Equation and Statistics:**
- The equation of the line is given as $y = 0.205x - 336$, where $y$ represents life expectancy and $x$ is the birth year. This suggests that for every passing year, life expectancy increased by approximately 0.205 years.
- The $R^2$ value is 0.981, indicating a very strong correlation between the birth year and life expectancy over this period, suggesting the model fits the data well.

Expert Solution

Step 1

From the provided information, the regression equation is:

y=0.205x-336

where x=birth year and y=US life male expectancy in years. The value of r²is 0.981.

The estimated US life expectancy of a male baby born in 1990, is:

x=1990

$\begin{array}{rcl} y & = & 0.205 (1990) - 336 \\ = & 407.95 - 336 \\ = & 71.95 \\ \approx & 72 y e a r s \end{array}$

Therefore, the estimated US life expectancy of a male baby born in 1990 is 72 years.

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