Math Problem Statement

Doctorates The following table shows the annual number of PhD graduates in a country in various fields. Natural Sciences Engineering Social Sciences Education 2010 5,000 7,600 7,800 5,200 2012 5,400 8,400 8,400 4,800 2014 5,900 9,600 8,700 4,800 2016 6,200 9,500 9,000 5,100 2018 6,300 10,200 8,900 4,800 2020 6,700 10,800 8,900 4,600 (a) With x = the number of social science doctorates and y = the number of education doctorates, use technology to obtain the regression equation. (Round coefficients to three significant digits.)

Solution

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Math Problem Analysis

Mathematical Concepts

Linear Regression
Data Analysis
Algebra

Formulas

Linear regression equation: y = mx + b
Slope formula: m = (Σ(xy) - n*mean(x)*mean(y)) / (Σ(x^2) - n*(mean(x)^2))

Theorems

Least Squares Method

Suitable Grade Level

College Level