Homework help.docx - 1. The cars owned by all people living...

1. The cars owned by all people living in a city are, on average, 7.3 years old with a
standard deviation of 2.2 years.
a. Using Chebyshev’s theorem, find at least what percentage of cars in this city is
(i.) 1.8 to 12.8 years old (ii). .7 to 13.9 years old
b. Using Chebyshev’s theorem, find the interval that contains the ages of at least 2. Use the given information to answer the following questions: see attached work and
verify
X 0 1
f 1
0
1
Range Variance
Standard Deviation

3. Please fill in the blank and answer the following questions: see attached notes and pages
from book.
SUMMARY OUTPUT
Regression Statistics
Multiple R ______
R Square ______
Adjusted R Square 0.125
Standard Error ______
Observations ______
ANOVA
df SS MS F Significance F
Regression 1 0.828 ______ ______ ______
Residual ______ 2.227 ______
Total 6 ______
Coefficients
Standard
Error
t Stat P-Value
Lower
95%
Upper
95%
Lower
95.0%
Upper
95.0%
Intercept 112.413 9.484 11.853 7.52722E-05 88.033 136.793 ______ ______
X -19.137 -------- -1.364 0.231 -55.211 16.937 ______ ______
a. What is the coefficient of determination? b. What is the coefficient of correlation?

c. Interpret the coefficient of determination. d. Interpret the coefficient of correlation.
e. Interpret the meaning of the Y intercept b
0
.
4. Below is the printout for a simple linear regression. (Must show step by step to get full
credits) need help with all
Observation Y X XY Y^2 X^2 Y Hat e e^2
1 3 1 3 9 1 2.4 0.6 0.36
2 1 2 2 1 4 1.7 -0.7 0.49
3 1 3 3 1 9 1 0 0
4 0 4 0 0 16 0.3 -0.3 0.09
5 0 5 0 0 25 -0.4 0.4 0.16
Total 5 15 8 11 55 5 -6.7E-16 1.1

a. Calculate the values in the coefficients column (
b
0
,b
1
)
b. Calculate the degrees of freedom (df) column.
c. Calculate the values in the SS column (SSR, SSE, SST).
d. Calculate the values in the MS column (MSR, MSE).
e. Calculate the F value and t Statistics for the independent variable.
f. Calculate the
R
2
,
adjusted R square and standard error of the Regression
model.
5. A firm has 231 employees classified by age and job category as follows. Need help with
all. Check my answer on (a)
Age Category