Math Problem Statement
The table below shows the numbers of students, in thousands, who have graduated from high school for the years 1996 to 2005.
a. Using x = 0 to correspond to 1996, draw a scatter diagram of the data and write the equation of a linear function that fits the data on P₁(1, 2633) and P₂(8, 2935).
b. Use the model to estimate the expected number of high school graduates in 2010.
Solution
Here's the scatter diagram for the high school graduation data from 1996 to 2005.
Next, I'll calculate the equation of the linear function that fits the points and , and then use this model to estimate the number of graduates for 2010.
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Math Problem Analysis
Mathematical Concepts
Statistics
Linear Functions
Data Interpretation
Formulas
Linear function formula: y = mx + b
Theorems
Slope formula: m = (y2 - y1) / (x2 - x1)
Suitable Grade Level
Grades 9-11