Final answer:
The global temperature graph shows a positive correlation with CO₂ levels, with a clear upward trend since the 1950s. Prior to the late 1800s, Earth's temperature varied, but not with the greatest change from 1700 to 1800. Temperature did not remain constant from 1900 to 1950, as suggested by historical data.
Step-by-step explanation:
Based on the relationship between atmospheric CO₂ concentrations and global temperatures, we know that as CO₂ levels rise, so does the global temperature. Historical data indicate that before the late 1800s, Earth's temperature varied significantly. However, more recent analyses, especially from the 1950s onwards, show a clear upward trajectory in CO₂ levels, from about 280 ppm to over 390 ppm, coinciding with an approximate 1°C increase in temperature.
The correlation between CO₂ and temperature is not simple linear but rather complex due to the interactions with other greenhouse gases like water vapor. Still, the overall trend remains: higher CO₂ levels contribute to higher global temperatures. Hence, statements like 'The line in the temperature graph will run parallel to the line in the carbon dioxide graph' or 'The slope of the temperature graph will be lower than the slope of the carbon dioxide graph' potentially represent the long-term trend if no other factors were at play.
Regarding the specific historical period changes, the greatest change in temperature did not occur between 1700 to 1800, as the industrial revolution and significant emissions started after this period. Additionally, the statement 'The temperature will remain relatively constant from the years 1900 to 1950' is not supported by the data which indicate overall temperature increases during the 20th century.