The population growth of a city since 1900 is represented by a linear model. Interpret the slope and tje y intercept

1 answer

The slope of the linear model represents the rate at which the population of the city is growing. It tells us how much the population increases (or decreases) on average for each unit increase in time (in this case, each year since 1900).

For example, if the slope is positive and equal to 100, it means that on average, the population is increasing by 100 people each year since 1900. Conversely, if the slope is negative and equal to -100, it means that on average, the population is decreasing by 100 people each year since 1900.

The y-intercept of the linear model represents the initial population of the city in the year 1900. It indicates the population size when the time variable is zero. For example, if the y-intercept is 10,000, it means that the estimated population of the city in 1900 was 10,000 people.