Question

Find the equation of the regression line for the given data. Round values to the nearest thousandth. * -5 -3 4 1 -1 -2 0 2 3
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Answer #1

Solution:

Answer: A. ŷ = -0.206*x + 2.097

Explanation:

Here, we have to find the regression equation for the dependent variable y based on the independent variable x. The regression output by using excel is given as below:

Regression Statistics

Multiple R

0.104367175

R Square

0.010892507

Adjusted R Square

-0.112745929

Standard Error

6.305721308

Observations

10

ANOVA

df

SS

MS

F

Significance F

Regression

1

3.503030303

3.503030303

0.088099684

0.774167389

Residual

8

318.0969697

39.76212121

Total

9

321.6

Coefficients

Standard Error

t Stat

P-value

Lower 95%

Upper 95%

Intercept

2.096969697

2.024031471

1.036036112

0.330484045

-2.570455242

6.764394636

x

-0.206060606

0.694237067

-0.296815909

0.774167389

-1.806974153

1.394852941

The regression equation is given as below:

ŷ = -0.206*x + 2.097

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