x: 5, 9, 15
y: 12, 18, 28
从下面的数据中提出线性回归方程.
根据给出的数据 (x: 5, 9, 15; y:12, 18, 28),一个可能的线性回归方程是 y = 1.96x + 1.40.让我解释我如何达到这个方程.线性回归的第一步是计算直线的斜率,m. 这种计算可以使用公式: m = [ (x的平均值 * y的平均值) - (x的平均值 * y) ] / [ (x的平均值) ^2 - (x的平均值) ],其中x的平均值是通过将所有x值的总和划分成数据点数来计算的;而x * y的平均值是通过乘以其 y值的每个x值来计算的,再加上所有这些产品,然后再乘以点数来计算的.使用线性回归的第一步,我们可以轻松地计算: 平均值 = 107.96 x + 1. x = 1. x = 3. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. x = 1. 2. x = 1. 2. x = 1. 2. 2. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3. 3.