Vaccination Investigation !!!

    A linear model is a graph in which all the data points are plotted in a scatter plot and a line of best fit is included. This line has a slope (m) and a y-intercept (b) that illustrate the general trend of the data points. If the independent variable is doubled, the dependent variable will be twice the independent variable plus the y-intercept.

    A proportional model is similar to a linear model because it also is a scatter plot that includes a line of best fit. What distinguishes a proportional model from a linear model is the fact that the line of best fit starts from the point (0,0). This means there is no y-intercept which in turn means that there is a direct proportional relationship between the data points and the line of best fit. There is a proportionality constant (A) that when multiplied by any of the independent variables will give you a value for the dependent variable. Here if the independent variable is doubled, the dependent variable will also double.

    An inverse proportional model has a curved line that has the least amount of error between the data points. For this model, a proportionality constant is the constant that is multiplied by the inverse of the independent variable. If the independent variable is doubled, the dependent variable will be halved.
    The slope of the Pressure vs. 1/Adjusted Volume graph is positive and is also a proportional model. On the average, the pressure increases by 1109 kPa for every inverse milliliter. On this graph, 0 mL would be where the pressure is infinite. This is because originally, pressure and volume have an inverse relationship where if one is increased, the other decreases. For the pressure vs inverse volume graph, we manipulated the graph so that these two variables can have a proportional relationship. The actual data never change, so a 0 volume will still correspond to an infinite pressure. 


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