A value of -1 for the coefficient of correlation between two variables means that the two variables are ________________.
a)somewhat strongly related
b)weakly related
c)perfectly related
d)very weakly related
e)not related at all
2) If the correlation coefficient between variables X
and Y is roughly zero, then ______.
a)Y is independent of X
b)Y is dependent on X
c)there is a linear correlation between Y and X
d)Y is not necessarily independent of X
e)Y is caused by X.
3) People in the aerospace industry believe the cost of a space
project is a function of the mass of the major object being sent
into space. Use the following data to develop a regression model to
predict the cost of a space project by the mass of the space
object. Determine r^{2} and
s_{e}.
Weight (tons) |
Cost ($ millions) |
---|---|
1.897 |
$ 53.6 |
3.019 |
184.9 |
0.453 |
6.4 |
0.971 |
23.5 |
1.058 |
33.1 |
2.100 |
110.4 |
2.385 |
104.6 |
*(Do not round the intermediate values. Round your
answers to 4 decimal places.)
**(Round the intermediate values to 4 decimal places. Round
your answer to 3 decimal places.)
fill in the blank
ŷ = () + ()
r2 =
se =
Ans a )_A value of -1 for the coefficient of correlation between two variables means that the two variables are c)perfectly related
2) If the correlation coefficient between variables X and Y is roughly zero, then ______.
a)Y is independent of X
Simple Linear Regression Analysis | ||||||
Regression Statistics | ||||||
Multiple R | 0.9521 | |||||
R Square | 0.9065 | |||||
Adjusted R Square | 0.8878 | |||||
Standard Error | 21.0780 | |||||
Observations | 7 | |||||
ANOVA | ||||||
df | SS | MS | F | Significance F | ||
Regression | 1 | 21547.3807 | 21547.3807 | 48.4994 | 0.0009 | |
Residual | 5 | 2221.4078 | 444.2816 | |||
Total | 6 | 23768.7886 | ||||
Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | |
Intercept | -38.7124 | 18.0116 | -2.1493 | 0.0843 | -85.0126 | 7.5878 |
Weight (tons) | 66.2700 | 9.5159 | 6.9641 | 0.0009 | 41.8087 | 90.7314 |
ŷ = -38.7124 +66.27 x
r2 =0.9065
se =21.078
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