Question

Determine the equation of the regression line for the following data, and compute the residuals. x...

Determine the equation of the regression line for the following data, and compute the residuals.

x 16 8 19 13 6

y 46 37 56 43 21

Do not round the intermediate values. (Round your answers to 3 decimal places.)


y^= ??? + ( ???)x

Do not round the intermediate values. (Round your answers to 3 decimal places.)

x y Residuals
16 46
8 37
19 56
13 43
6 21

Homework Answers

Answer #1

solution,

X Y XY X^2 Y^2
16 46 736 256 2116
8 37 296 64 1369
19 56 1064 361 3136
13 43 559 169 1849
6 21 126 36 441
n 5
sum(XY) 2781.00
sum(X) 62.00
sum(Y) 203.00
sum(X^2) 886.00
sum(Y^2) 8911.00
Numerator 1319.00
Denominator 1400.27
r 0.9420
r square 0.8873
Xbar(mean) 12.4000
Ybar(mean) 40.6000
SD(X) 4.8415
SD(Y) 11.5689
b 2.2509
a 12.6894

= a + bx

= 12.690 + 2.251x

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