Regression line (Edexcel GCSE Statistics): Flashcards

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Regression line
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What is the formula for a regression line in statistics?

y = mx + c, where m is gradient and c is y-intercept.

How to plot a regression line from an equation?

Choose x-values, find y, plot points, draw line through.

What does the y-intercept tell us?

Where line crosses y-axis; shows predicted y at x=0.

What is a limitation of the y-intercept?

May not be realistic if outside data range.

How to interpret a gradient of 1.05?

Y increases by 1.05 for each 1 unit increase in X.

What does the gradient tell us about variable change?

Rate at which y changes for a unit increase in x.

What is the key purpose of a regression line?

Understand relationship and make predictions.

Find two points for y=1.05x-3 using x=30 and x=80

(30,28.5) and (80,81)

Using gradient 1.05, find y change for x+5

y increases by 1.05×5 = 5.25

Find two points on y=1.05x-3 for x=20 and x=90

(20,18) and (90,91.5)

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