Population (millions)

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Presentation transcript:

Population (millions) example 4 U.S. Population The total U.S. population for selected years beginning in 1960 and projected to 2050 is shown in the table, with the population given in millions. Align the data to represent the number of years from 1960, and draw a scatter plot of the data. Create a linear equation that is the best fit for these data, where y is in millions and x is the number of years from 1960. Year Population (millions) 1960 180.671 1995 263.044 1965 194.303 1998 270.561 1970 205.052 2000 281.422 1975 215.973 2003 294.043 1980 227.726 2025 358.030 1985 238.466 2050 408.695 1990 249.948 Chapter 2.2 2009 PBLPathways

Population (millions) The total U.S. population for selected years beginning in 1960 and projected to 2050 is shown in the table, with the population given in millions. Align the data to represent the number of years from 1960, and draw a scatter plot of the data. Create a linear equation that is the best fit for these data, where y is in millions and x is the number of years from 1960. Year Population (millions) 1960 180.671 1995 263.044 1965 194.303 1998 270.561 1970 205.052 2000 281.422 1975 215.973 2003 294.043 1980 227.726 2025 358.030 1985 238.466 2050 408.695 1990 249.948

Population (millions) The total U.S. population for selected years beginning in 1960 and projected to 2050 is shown in the table, with the population given in millions. Graph the equation of the linear model on the same graph with the scatter plot and discuss how well the model fits the data. Align the data to represent the years after 1950 and create a linear equation that is the best fit for the data, where y is in millions. Year Population (millions) 1960 180.671 1995 263.044 1965 194.303 1998 270.561 1970 205.052 2000 281.422 1975 215.973 2003 294.043 1980 227.726 2025 358.030 1985 238.466 2050 408.695 1990 249.948

Population (millions) The total U.S. population for selected years beginning in 1960 and projected to 2050 is shown in the table, with the population given in millions. How do the x-values for a given year differ? Use both unrounded models to estimate the population in 1997 and in 2000. Are the estimates equal? Year Population (millions) 1960 180.671 1995 263.044 1965 194.303 1998 270.561 1970 205.052 2000 281.422 1975 215.973 2003 294.043 1980 227.726 2025 358.030 1985 238.466 2050 408.695 1990 249.948

Population (millions) Align the data to represent the number of years from 1960, and draw a scatter plot of the data. Year Population (millions) 1960 180.671 1995 263.044 1965 194.303 1998 270.561 1970 205.052 2000 281.422 1975 215.973 2003 294.043 1980 227.726 2025 358.030 1985 238.466 2050 408.695 1990 249.948

Population (millions) Align the data to represent the number of years from 1960, and draw a scatter plot of the data. Years after 1960 Population (millions) 180.671 35 263.044 5 194.303 38 270.561 10 205.052 40 281.422 15 215.973 43 294.043 20 227.726 65 358.030 25 238.466 90 408.695 30 249.948

Population (millions) Align the data to represent the number of years from 1960, and draw a scatter plot of the data. Years after 1960 Population (millions) 180.671 35 263.044 5 194.303 38 270.561 10 205.052 40 281.422 15 215.973 43 294.043 20 227.726 65 358.030 25 238.466 90 408.695 30 249.948

Population (millions) Create a linear equation that is the best fit for these data, where y is in millions and x is the number of years from 1960. Years after 1960 Population (millions) 180.671 35 263.044 5 194.303 38 270.561 10 205.052 40 281.422 15 215.973 43 294.043 20 227.726 65 358.030 25 238.466 90 408.695 30 249.948

Population (millions) Create a linear equation that is the best fit for these data, where y is in millions and x is the number of years from 1960. Years after 1960 Population (millions) 180.671 35 263.044 5 194.303 38 270.561 10 205.052 40 281.422 15 215.973 43 294.043 20 227.726 65 358.030 25 238.466 90 408.695 30 249.948

Population (millions) Create a linear equation that is the best fit for these data, where y is in millions and x is the number of years from 1960. Years after 1960 Population (millions) 180.671 35 263.044 5 194.303 38 270.561 10 205.052 40 281.422 15 215.973 43 294.043 20 227.726 65 358.030 25 238.466 90 408.695 30 249.948 Population in millions Years after 1960

Population (millions) Create a linear equation that is the best fit for these data, where y is in millions and x is the number of years from 1960. Years after 1960 Population (millions) 180.671 35 263.044 5 194.303 38 270.561 10 205.052 40 281.422 15 215.973 43 294.043 20 227.726 65 358.030 25 238.466 90 408.695 30 249.948 Population in millions Years after 1960

Population (millions) Graph the equation of the linear model on the same graph with the scatter plot and discuss how well the model fits the data. Years after 1960 Population (millions) 180.671 35 263.044 5 194.303 38 270.561 10 205.052 40 281.422 15 215.973 43 294.043 20 227.726 65 358.030 25 238.466 90 408.695 30 249.948

Population (millions) Graph the equation of the linear model on the same graph with the scatter plot and discuss how well the model fits the data. Years after 1960 Population (millions) 180.671 35 263.044 5 194.303 38 270.561 10 205.052 40 281.422 15 215.973 43 294.043 20 227.726 65 358.030 25 238.466 90 408.695 30 249.948

Population (millions) Align the data to represent the years after 1950 and create a linear equation that is the best fit for the data, where y is in millions. Year Population (millions) 1960 180.671 1995 263.044 1965 194.303 1998 270.561 1970 205.052 2000 281.422 1975 215.973 2003 294.043 1980 227.726 2025 358.030 1985 238.466 2050 408.695 1990 249.948

Population (millions) Align the data to represent the years after 1950 and create a linear equation that is the best fit for the data, where y is in millions. Years after 1950 Population (millions) 10 180.671 45 263.044 15 194.303 48 270.561 20 205.052 50 281.422 25 215.973 53 294.043 30 227.726 75 358.030 35 238.466 100 408.695 40 249.948

Population (millions) Align the data to represent the years after 1950 and create a linear equation that is the best fit for the data, where y is in millions. Years after 1950 Population (millions) 10 180.671 45 263.044 15 194.303 48 270.561 20 205.052 50 281.422 25 215.973 53 294.043 30 227.726 75 358.030 35 238.466 100 408.695 40 249.948

Population in millions Years after 1950 Population (millions) Align the data to represent the years after 1950 and create a linear equation that is the best fit for the data, where y is in millions. Population in millions Years after 1950 Years after 1950 Population (millions) 10 180.671 45 263.044 15 194.303 48 270.561 20 205.052 50 281.422 25 215.973 53 294.043 30 227.726 75 358.030 35 238.466 100 408.695 40 249.948

Population (millions) How do the x-values for a given year differ? Years after 1950 Population (millions) 10 180.671 45 263.044 15 194.303 48 270.561 20 205.052 50 281.422 25 215.973 53 294.043 30 227.726 75 358.030 35 238.466 100 408.695 40 249.948

How do the x-values for a given year differ? Population (millions) Years after 1950 Population (millions) 10 180.671 45 263.044 15 194.303 48 270.561 20 205.052 50 281.422 25 215.973 53 294.043 30 227.726 75 358.030 35 238.466 100 408.695 40 249.948 Years after 1960 Population (millions) 180.671 35 263.044 5 194.303 38 270.561 10 205.052 40 281.422 15 215.973 43 294.043 20 227.726 65 358.030 25 238.466 90 408.695 30 249.948

How do the x-values for a given year differ? Population (millions) Years after 1950 Population (millions) 10 180.671 45 263.044 15 194.303 48 270.561 20 205.052 50 281.422 25 215.973 53 294.043 30 227.726 75 358.030 35 238.466 100 408.695 40 249.948 Years after 1960 Population (millions) 180.671 35 263.044 5 194.303 38 270.561 10 205.052 40 281.422 15 215.973 43 294.043 20 227.726 65 358.030 25 238.466 90 408.695 30 249.948

Use both unrounded models to estimate the population in 1997 and in 2000. Are the estimates equal?

Population in millions Years after 1960 Population in millions Use both unrounded models to estimate the population in 1997 and in 2000. Are the estimates equal? Population in millions Years after 1960 Population in millions Years after 1950

Population in millions Years after 1960 Population in millions Use both unrounded models to estimate the population in 1997 and in 2000. Are the estimates equal? Population in millions Years after 1960 Population in millions Years after 1950

Population in millions Years after 1960 Population in millions Use both unrounded models to estimate the population in 1997 and in 2000. Are the estimates equal? Population in millions Years after 1960 Population in millions Years after 1950

Population in millions Years after 1960 Population in millions Use both unrounded models to estimate the population in 1997 and in 2000. Are the estimates equal? Population in millions Years after 1960 Population in millions Years after 1950

Population in millions Years after 1960 Population in millions Use both unrounded models to estimate the population in 1997 and in 2000. Are the estimates equal? Population in millions Years after 1960 Population in millions Years after 1950

Use both unrounded models to estimate the population in 1997 and in 2000. Are the estimates equal? Change

Use both unrounded models to estimate the population in 1997 and in 2000. Are the estimates equal? Change

Use both unrounded models to estimate the population in 1997 and in 2000. Are the estimates equal? Change

Use both unrounded models to estimate the population in 1997 and in 2000. Are the estimates equal? Change

Use both unrounded models to estimate the population in 1997 and in 2000. Are the estimates equal? Change