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Mathematics 12 Online
zarkam21:

Help please on this

zarkam21:

1 attachment
Vocaloid:

when it comes to regression there are two quantities: expected value and observed value

Vocaloid:

the equation y^ = 20 - 1.5x gives the expected value for y, or the values on the regression line, for every x

Vocaloid:

first, use the equation to calculate the expected y value for x = 3

Vocaloid:

y^ = 20 - 1.5x = what when x = 3?

zarkam21:

-4.5?

Vocaloid:

hm not quite

Vocaloid:

20 - 1.5x = 20 - 1.5(3) = ?

zarkam21:

15.5

zarkam21:

:/

Vocaloid:

yes good

Vocaloid:

now let's look at the coordinate given in the problem (3,15.5) this is the observed value notice how it is the same as the predicted value

Vocaloid:

this implies that the point falls on the regression line (option c)

zarkam21:

Oh okay so because the points fall on that line it is c?

Vocaloid:

yes, this one point in particular

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