If a given data point is (1,4) and the line of best fit is y = 1.5x + 3.25, what's the residual value?
1 answer:
Answer:
The residual value is -0.75
Step-by-step explanation:
we know that
The residual value is the observed value minus the predicted value.
RESIDUAL VALUE=[OBSERVED VALUE-PREDICTED VALUE]
where
Predicted value.--> the predicted value given the current regression equation
Observed value. --> The observed value for the dependent variable.
in this problem
we have the point (1,4)
so
The observed value is 4
<em>Find the predicted value for x=1 </em>
predicted value is 4.75
so
RESIDUAL VALUE=(4-4.75)=-0.75
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See the attached figure
DB = 4 and DC = 6 , We need to find AD
Using <span>Euclid's theorem for the right triangle
</span><span>
</span><span>∴ DB² = AD * DC
</span><span>
</span><span>∴ 4² = AD * 6
</span><span>
</span><span>∴ 6 AD = 16
</span><span>
</span><span>
</span><span>∴ AD = 16/6 = 8/3 ≈ 2.67
</span>
DB = 4 and DC = 6 , We need to find AD
Using <span>Euclid's theorem for the right triangle
</span><span>
</span><span>∴ DB² = AD * DC
</span><span>
</span><span>∴ 4² = AD * 6
</span><span>
</span><span>∴ 6 AD = 16
</span><span>
</span><span>
</span><span>∴ AD = 16/6 = 8/3 ≈ 2.67
</span>