Fitting a Linear Model to the Data (VCE SSCE General Mathematics): Quizzes

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Fitting a Linear Model to the Data
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What is the process of fitting a straight line to data showing a linear association called?

Linear regression

In the regression line equation y=a+bxy = a + bx, what does aa represent?

The y-intercept

In the regression line equation y=a+bxy = a + bx, what does bb represent?

The slope

What does fitting a line 'by eye' involve?

Using a ruler to balance data points

What is a residual?

Vertical distance from point to line

When is a residual positive?

When data point lies above the line

What does the least squares method minimize?

Sum of squared residuals

Why are residuals squared in the least squares method?

To prevent positive/negative cancel out

What is the formula for the slope in the least squares method?

b=rsysxb = r \frac{s_y}{s_x}

Which should be calculated first when finding the least squares line?

The slope bb

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