What is the value of the correlation coefficent, r? Is the strength of the linear relationship strong, moderately strong, somewhat weak or very weak?

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What is the value of the correlation coefficent, r? Is the strength of the linear relationship strong, moderately strong, somewhat weak or very weak?

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

This line graph illustrates the trend in life expectancy for U.S. males at birth from 1950 to 2020. The x-axis represents the birth year, ranging from 1950 to 2020, while the y-axis shows life expectancy in years, ranging from 64 to 78.

Key features of the graph include:

- **Data Points (Blue Diamonds):** These represent actual life expectancy values for each year.
- **Trend Line (Black Line):** This line indicates the linear trend of increasing life expectancy over time.
- **Equation of the Line:** The trend line follows the equation \( y = 0.205x - 336 \), suggesting that life expectancy increases by approximately 0.205 years per birth year.
- **Coefficient of Determination \( R^2 = 0.981 \):** This value indicates a high degree of correlation, meaning the trend line accurately represents the data.

Overall, the graph shows a steady increase in life expectancy for U.S. males over the 70-year period.
Transcribed Image Text:**U.S. Male Life Expectancy at Birth** This line graph illustrates the trend in life expectancy for U.S. males at birth from 1950 to 2020. The x-axis represents the birth year, ranging from 1950 to 2020, while the y-axis shows life expectancy in years, ranging from 64 to 78. Key features of the graph include: - **Data Points (Blue Diamonds):** These represent actual life expectancy values for each year. - **Trend Line (Black Line):** This line indicates the linear trend of increasing life expectancy over time. - **Equation of the Line:** The trend line follows the equation \( y = 0.205x - 336 \), suggesting that life expectancy increases by approximately 0.205 years per birth year. - **Coefficient of Determination \( R^2 = 0.981 \):** This value indicates a high degree of correlation, meaning the trend line accurately represents the data. Overall, the graph shows a steady increase in life expectancy for U.S. males over the 70-year period.
Expert Solution
Step 1: Given information

Given that,

Y = 0.205x - 336

R2 = 0.981

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