Question

1) A regression line was calculated as y' = 9.7 - 3.2x The slope of this...

1) A regression line was calculated as y' = 9.7 - 3.2x The slope of this line is

2) A correlation coefficient r was calculated to be 0.830. The coefficient of determination would be

3) Find the equation of the regression line x 43 56 60 52 54 51 y 209 257 281 237 255 215

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution:

1)

The slope of this line is,

b1 = 3.2

2)

The coefficient of determination is,

r2 = 0.689

3)

X Y XY X^2 Y^2
43 209 8987 1849 43681
56 257 14392 3136 66049
60 281 16860 3600 78961
52 237 12324 2704 56169
54 255 13770 2916 65025
51 215 10965 2601 46225

n 6
sum(XY) 77298.00
sum(X) 316.00
sum(Y) 1454.00
sum(X^2) 16806.00
sum(Y^2) 356110.00
Numerator 4324.00
Denominator 4700.33
r 0.9199
r square 0.8463
Xbar(mean) 52.6667
Ybar(mean) 242.3333
SD(X) 5.2175
SD(Y) 25.0244
b 4.4122
a 9.9551

The equation of the regression line is,

Yhat = 0.955 + 4.412X

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