Assignment -
Part A -
Please fill in the blank and circle your decision or answer the following questions.
Q1. State whether H0 should be accepted or rejected for α = 0.05, given the following; F* = computed F (fill in the blank and circle your decision)
a)F* = 2.34; df = 2 and 11
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Computed F
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Critical F
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Decision
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2.34
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___________
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Reject / Fail to reject
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b) F* = 2.52; df = 4 and 20
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Computed F
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Critical F
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Decision
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2.52
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___________
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Reject / Fail to reject
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c) F* = 4.29; df = 3 and 24
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Computed F
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Critical F
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Decision
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4.29
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___________
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Reject / Fail to reject
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Q2. Use problem 4 on page 14-11 to fill in the table and answer the following questions.
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Source
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SS
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df
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MS
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F
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Treatments
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_____
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180
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_____
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_____
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Error
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_____
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60
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_____
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Total
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_____
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_____
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a) What is the hypothesis being tested in this problem?
b) In the above ANOVA table, is the factor significant at the 5% level?
c) Number of observations?
Q3. Use problem 5 on page 14-12 to fill in the table and answer the following questions.
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Source
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SS
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df
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MS
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F
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Treatments
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12.10
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2
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6.05
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_____
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Error
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_____
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_____
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0.87
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Total
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27.81
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20
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a) What is the hypothesis being tested in this problem?
b) In the above ANOVA table, is the factor significant at the 5% level?
c) Number of observations?
Q4. Use problem 6 on page 14-12 to fill in the table and answer the following questions.
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Source
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SS
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df
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MS
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F
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Treatments
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20.46
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3
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6.82
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0.23
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Error
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_____
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20
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_____
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Total
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623.96
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_____
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a) What is the hypothesis being tested in this problem?
b) In the above ANOVA table, is the factor significant at the 5% level?
c) Number of observations?
Part B -
Work Problem - All work in part must be shown step by step.
Q5. Use problem number 1 on page 9-18 to answer the following questions (a-e).
a) Use Z or T test? And why?
b) At α = 0.05, what is the rejection rule?
c) Compute the value of the test statistic.
d) What is the p-value?
e) What is your conclusion?
Q6. Use problem number 6 on page 9-18 to answer the following questions (a-e).
a) Use Z or T test? And why?
b) At α = 0.05, what is the rejection rule?
c) Compute the value of the test statistic.
d) What is the p-value?
e) What is your conclusion?
Q7. Use problem number 20 on page 9-21 to answer to following questions (a-h).
a) What is the sample mean?
b) What is the sample standard deviation?
c) Use Z or T test? And why?
d) What is your hypothesis test?
e) At α = 0.05, what is the rejection rule when using the method you choose in (C)?
f) Compute the value of the test statistic.
g) What is the p-value?
h) What is your conclusion?
Q8. Use problem number 18 on page 9-21 to answer the following questions (a-e).
a) Use Z or T test? And why?
b) At α = 0.05, what is the rejection rule?
c) Compute the value of the test statistic.
d) What is the p-value?
e) What is your conclusion?
Q9. Use problem number 2 on page 10-27 to answer the following questions (a-d).
a) Write and interpret the estimated regression equation.
b) What is the number of observations?
c) Compute the F statistic and test the significance of the relationship at a .05 level of significance?
d) Predict monthly maintenance expense for any terminal that is used 25 hours per week.
Q10. Use problem number 10 on page 10-30 to answer the following questions (a-j).
a) Find b1 and interpret.
b) Find b0 and interpret.
c) Write the equation.
d) Find r2 and interpret.
e) Find SST.
f) Find Se.
g) Construct the 95% confidence interval for the mean of y when x = 7.
h) Construct the 95% confidence interval for the individual value of y when x = 9.
i) What is the consumption of apple per person when consumer income is $500?
j) Interpret and show that you understand this regression equation. (Significant weight will be given to this question).
Q11. The given computer printout is a regression model relating plane travelling. Given X, number of fuel consumed (in gallon) and Y, flying time (1,000 mile) has been developed. Please fill in the blank and answer the following questions (a-g).
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SUMMARY OUTPUT
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Regression Statistics
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Multiple R
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0.877
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R Square
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______
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Adjusted R Square
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______
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Standard Error
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______
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Observations
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______
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ANOVA
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df
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SS
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MS
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F
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Significance F
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Regression
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1
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18.937
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18.937
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______
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0.010
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Residual
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______
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5.712
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______
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Total
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6
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24.649
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Coefficients
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Standard Error
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t Stat
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P-value
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Lower 95%
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Upper 95%
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Lower 95.0%
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Upper 95.0%
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Intercept
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-8.859
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8.077
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-1.097
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0.323
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______
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11.904
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29.621
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______
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Fuel Consumed
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0.132
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0.032
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4.071
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0.010
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______
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0.215
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0.049
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______
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a) Write and interpret the estimated regression equation.
b) What is the number of observations?
c) Compute the F statistic and test the significance of the relationship at a .05 level of significance.
d) Predict the flying time when the plane consumes 270 Gallons of gas.
e) What is the coefficient of determination and interpret it.
f) What is the coefficient of correlation and interpret it.
g) Interpret and show that you understand this computer printout. (Significant weight will be given to this question).
Q12. Giving the selling price of the dependent variable and house size, house age and are independent variables please fill in the table and answer the following questions (a-h). (α=0.05)
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SUMMARY OUTPUT
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Regression Statistics
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Multiple R
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0.9571
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R Square
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_____
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Adjusted R Square
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0.8932
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Standard Error
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6.8940
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Observations
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_____
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ANOVA
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df
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SS
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MS
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F
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Significance F
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Regression
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3
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5707.4385
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_____
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_____
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3.27814E-06
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Residual
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11
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_____
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47.5270
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Total
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_____
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6230.2360
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Coefficients
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Standard Error
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t Stat
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P-value
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Lower 95%
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Upper 95%
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Lower 95.0%
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Upper 95.0%
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Intercept
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-16.0580
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19.0710
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-0.8420
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0.4177
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-58.0331
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25.9171
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_____
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25.9171
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House Size
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4.1462
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0.7512
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5.5195
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0.0002
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2.4928
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5.7995
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2.4928
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_____
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House Age
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-0.2361
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0.8812
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-0.2679
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0.7937
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-2.1756
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1.7035
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_____
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1.7035
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Area
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4.8309
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0.9011
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5.3612
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0.0002
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2.8476
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6.8141
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2.8476
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_____
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a) Write and interpret the estimated regression equation.
b) What is the number of observations?
c) What percent of the variation is explained by the regression equation, please explain.
d) What is the standard error of regression, please explain?
e) What is the variance of the slope coefficient of House size?
f) Conduct a global test of hypothesis to determine if any of the regression coefficients are not zero.
g) Conduct a test of hypothesis for each of the independent variables. Which one you would eliminate and why?
h) Interpret and show that you understand this computer printout. (Significant weight will be given to this question).
Q13. Use problem 13 on page 15-11 to answer the following questions (a-d).
a) What is your hypotheses?
b) What is your χ2?
c) Is the χ2 value significant at 5% level of significance?
d) Write the conclusion for this question.
Q14. Use problem 16 on page 15-11 to answer the following questions (a-d)
a) What is your hypotheses?
b) What is your χ2?
c) Is the χ2 value significant at 5% level of significance?
d) Write the conclusion for this question.
Q15. The following statistics were calculated in a regression analysis procedure.
DF = 7.0
b0 = -10.8
b1 = 3.0
Sb1 = 21.0
a. Test the null hypothesis that the slope of the regression lines is zero at the .01 significance level.
Attachment:- Question Problems.rar