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PROBLEM 7. Linear Regression We consider the following 3 data-points $B_1 = (-2 | -1)$ (5) $B_2 = (+3 | +1)$ (6) $B_3 = (+4 | +2)$ (7) (8) Calculate the equation of the regression-line $f(x) = \hat{y} = \hat{a} + \hat{b} \cdot x$. A $y = (\frac{1}{3}) + (\frac{1}{3}) \cdot x$ B $y = (\frac{1}{3}) + (\frac{1}{3}) \cdot x$ C $y = (\frac{1}{3}) + (\frac{1}{3}) \cdot x$ D $y = (\frac{1}{3}) + (\frac{1}{3}) \cdot x$ E $y = (\frac{1}{3}) + (\frac{1}{3}) \cdot x$ F $y = (\frac{1}{3}) + (\frac{1}{3}) \cdot x$ G $y = (\frac{1}{3}) + (\frac{1}{3}) \cdot x$ H None of the answers A to G is correct

          PROBLEM 7. Linear Regression
We consider the following 3 data-points
$B_1 = (-2 | -1)$
(5)
$B_2 = (+3 | +1)$
(6)
$B_3 = (+4 | +2)$
(7)
(8)
Calculate the equation of the regression-line $f(x) = \hat{y} = \hat{a} + \hat{b} \cdot x$.
A
$y = (\frac{1}{3}) + (\frac{1}{3}) \cdot x$
B
$y = (\frac{1}{3}) + (\frac{1}{3}) \cdot x$
C
$y = (\frac{1}{3}) + (\frac{1}{3}) \cdot x$
D
$y = (\frac{1}{3}) + (\frac{1}{3}) \cdot x$
E
$y = (\frac{1}{3}) + (\frac{1}{3}) \cdot x$
F
$y = (\frac{1}{3}) + (\frac{1}{3}) \cdot x$
G
$y = (\frac{1}{3}) + (\frac{1}{3}) \cdot x$
H None of the answers A to G is correct

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PROBLEM 7. Linear Regression
We consider the following 3 data-points
B1 = (-2 | -1)
(5)
B2 = (+3 | +1)
(6)
B3 = (+4 | +2)
(7)
(8)
Calculate the equation of the regression-line f(x) = ŷ = â + b̂· x.
A
y = ((1)/(3)) + ((1)/(3)) · x
B
y = ((1)/(3)) + ((1)/(3)) · x
C
y = ((1)/(3)) + ((1)/(3)) · x
D
y = ((1)/(3)) + ((1)/(3)) · x
E
y = ((1)/(3)) + ((1)/(3)) · x
F
y = ((1)/(3)) + ((1)/(3)) · x
G
y = ((1)/(3)) + ((1)/(3)) · x
H None of the answers A to G is correct

Added by Paul P.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert James Kiss

09/19/2023

Step 1

Step 1: The equation of the regression line is given by: $$f(z) = \hat{y} = \hat{a} + \hat{b} \cdot z$$ where $\hat{a}$ is the y-intercept and $\hat{b}$ is the slope. Show more…

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PROBLEM 7. Linear Regression We consider the following 3 data-points $$B_1 = (-2 | -1)$$ (5) $$B_2 = (+3 | +1)$$ (6) $$B_3 = (+4 | +2)$$ (7) (8) Calculate the equation of the regression-line $$f(z) = \hat{y} = \hat{a} + \hat{b} \cdot z$$. A $$y = (\frac{1}{2}) + (\frac{1}{2}) \cdot z$$ B $$y = (\frac{1}{2}) + (\frac{1}{2}) \cdot z$$ C $$y = (\frac{1}{2}) + (\frac{1}{2}) \cdot z$$ D $$y = (\frac{2}{3}) + (\frac{1}{3}) \cdot z$$ E $$y = (\frac{3}{4}) + (\frac{1}{4}) \cdot z$$ F $$y = (\frac{2}{3}) + (\frac{1}{3}) \cdot z$$ G $$y = (\frac{2}{3}) + (\frac{1}{3}) \cdot z$$ H None of the answers A to G is correct

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