Chi Squared Tests (Edexcel A-Level Further Mathematics): Quizzes

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Chi Squared Tests for Standard Distributions
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What does 'regression of yy on xx' mean?

yy depends on xx

What does the least squares regression line minimise?

Squares of vertical distances

What is extrapolation?

Predicting outside the data range

When is the regression line a reliable predictor?

Data is linearly correlated

What is the formula for the regression coefficient bb?

b=SxySxxb = \frac{S_{xy}}{S_{xx}}

In y=a+bxy = a + bx, what is the formula for aa?

a=yˉbxˉa = \bar{y} - b\bar{x}

If y=59+57xy = -59 + 57x, what does the coefficient 5757 represent?

Increase in yy per unit increase in xx

A dexterity study has data from x=2.5x = 2.5 to 88. Is predicting at x=6x = 6 reasonable?

Yes, within data range

For data with xx from 2.52.5 to 88, is predicting at x=14x = 14 reasonable?

No, outside data range

When uncertain which variable depends on which, what should xx be?

The control variable

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