1 The table gives the population in millions. Give an explanation of the evidence that the growth is essentially exponential. Date Pop Date 1880 50.2 1930 1890 62.9 1940 1900 76.0 1950 1910 92.0 1920 105.7 2 Find a regression formula for the data. Pop 122.8 131.7 151.3 1960 179.3 Date 1970 1980 1990 2000 Pop 203.3 226.5 248.7 281.4

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The table gives the population in millions. Give an explanation of the evidence that the growth is essentially exponential.

| Date | Pop  |
|------|------|
| 1880 | 50.2 |
| 1890 | 62.9 |
| 1900 | 76.0 |
| 1910 | 92.0 |
| 1920 | 105.7 |
| 1930 | 122.8 |
| 1940 | 131.7 |
| 1950 | 151.3 |
| 1960 | 179.3 |
| 1970 | 203.3 |
| 1980 | 226.5 |
| 1990 | 248.7 |
| 2000 | 281.4 |

1. Discuss the evidence that supports the exponential nature of population growth by analyzing the increase in population over time, where each decade shows a larger increase than the previous one, consistent with exponential growth trends.

2. Find a regression formula for the data: Compute the regression formula that best fits this set of population data to model the exponential growth, likely involving an exponential function.
Transcribed Image Text:The table gives the population in millions. Give an explanation of the evidence that the growth is essentially exponential. | Date | Pop | |------|------| | 1880 | 50.2 | | 1890 | 62.9 | | 1900 | 76.0 | | 1910 | 92.0 | | 1920 | 105.7 | | 1930 | 122.8 | | 1940 | 131.7 | | 1950 | 151.3 | | 1960 | 179.3 | | 1970 | 203.3 | | 1980 | 226.5 | | 1990 | 248.7 | | 2000 | 281.4 | 1. Discuss the evidence that supports the exponential nature of population growth by analyzing the increase in population over time, where each decade shows a larger increase than the previous one, consistent with exponential growth trends. 2. Find a regression formula for the data: Compute the regression formula that best fits this set of population data to model the exponential growth, likely involving an exponential function.
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