Given n=12 data points, including (63, 112), (66, 111), (72, 107), and (52, ?), find the linear regression equation y = a + bx.

March 29, 2026Mathematics

ScanSolve AI Answer

March 29, 2026

Answer

a + bx$, we use the following formulas:

To find the values of $b$ and $a$ for a linear regression equation $y = a + bx$ , we use the following formulas: $b = \frac{n(\sum xy) - (\sum x)(\sum y)}{n(\sum x^2) - (\sum x)^2}$ $a = \frac{\sum y - b(\sum x)}{n}$

First, we need to calculate the sums of $x$ , $y$ , $xy$ , and $x^2$ from the given data. There are $n=12$ data points.

The data points $(x, y)$ are: (63, 112), (66, 111), (72, 107), (52

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To find the values of b and a for a linear regression equation y = a + bx, we use the following formulas: b = (n( xy) - ( x)( y))/(n( x^2) - ( x)^2) a = ( y - b( x))/(n) First, we need to calculate the sums of x, y, xy, and x^2 from the given data.

Asked on March 29, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on March 29, 2026

To find the values of b and a for a linear regression equation y = a + bx, we use the following formulas: b = (n( xy) - ( x)( y))/(n( x^2) - ( x)^2) a = ( y - b( x))/(n) First, we need to calculate the sums of x, y, xy, and x^2 from the given data. There are n=12 data points. The data points (x, y) are: (63, 112), (66, 111), (72, 107), (52