use the most accurate equation to predict the dependent variable for the years 1980 and 1995.

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justaguide | College Teacher | (Level 2) Distinguished Educator

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The number of infant deaths from the year 1948 to 1972 is given. This has to be used to forecast the number of infant deaths in the years 1980 and 1995.

Take the x value for the year 1948 as 1 and it increases for each subsequent year. The scatter plot of these values of x and the corresponding number of infant deaths represented in the y-axis is shown in the image given below. A second degree polynomial is created using Excel to approximate the values as closely as possible. The subsequent equation is: y = -17.552*x^2 + 25.507*x + 15555.

For the years 1980 and 1995, the corresponding x values are 33 and 48 respectively. If these are substituted in the equation of the polynomial derived, the values of y are -2717.397 and-23660.472. The number of infants dying cannot be negative. This indicates that if the current trend were to continue there would be no deaths in the given years.

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