Question

the slope of the regression line is calculated to be 5.5 and the intercept 15 then

the value of Y when X is 6
solu
a+bX
15+5.5(6)
48​

Answer 1

SOLUTION

GIVEN

The slope of the regression line is calculated to be 5.5 and the intercept 15

TO DETERMINE

The value of Y when X is 6

EVALUATION

Let the required equation of the regression line is

Y = aX + b

Since slope is calculated to be 5.5 and the intercept 15

So we have a = 5.5 & b = 15

So the equation of the regression line becomes

Y = 5.5X + 15

Now it is given that X = 6

So we have

Y = ( 5.5 × 6 ) + 15

⇒ Y = 33 + 15

⇒ Y = 48

FINAL ANSWER

Hence the required value of Y = 48

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