Statistics Case Study Essay
Question 1
1. A demographics consultant was asked by the State Transit Authority to study the transport patterns of workers commuting to the Sydney CBD from the inner city suburbs. The study was to determine whether a relationship existed between the type of transport used and the location, so that the authority may prioritise the services it needs to expand or upgrade. The summary data for the study is available below: Car Bus Train Other
Eastern Suburbs 81 161 148 39
Inner West & South 69 209 247 53
North Shore 75 148 165 64
2.
Assume that a 1% level of significance is to be used for the test.
3.
1. Calculate the test statistic, reporting your answer correct to three decimal places.Blank 1
4. Use the tables to determine …show more content…
A consulting group have tracked the average salary per week (in dollars) over time for a group of university students. The data is recorded in the file BBSALARY. Using the data from the year 1976 to the year 2000 (including 1976 and 2000) fit a trend equation to the average salary data over this period. You will need to create a new column of values (from 1 to 25) next to the YEAR column, with a value of 1 next to the year 1976, a value of 2 next to the year 1977 and a value of 25 next to the year 2000. This new column will be the data for your independent variable.
a) what is the intercept term (to 3 decimal places)?Blank 1
b) use the trend equation to forecast Average Salary for the year 2002 (to 3 decimal places).Blank 2
3 …show more content…
An AR(1) model is derived as follows: (with the standard error of the coefficient given in the brackets)
EXP(t) = 1.68 + 0.238 * EXP(t-1)
(0.132)
where
EXP(t) = the value of exports in millions of dollars in year, t
EXP(t-1)= the value of exports in millions of dollars in year, t-1
And the number of observations for this model is 29.
An economist believes that export prices from the previous year have a significant effect on the export prices in year t and wishes to test this claim using a 5% level of significance.
1. State the direction of the alternative hypothesis used to test the economist's claim. Type gt (greater than), ge (greater than or equal to), lt (less than), le (less than or equal to) or ne (not equal to) as appropriate in the box.Blank 1
2. Calculate the test statistic (ie. a t-stat), report your answer correct to three decimal places.Blank 2
3. Use the tables in the text to determine the critical value used to conduct the test. If there are two critical values, state only the positive value.Blank 3 .
4. Is the null hypothesis rejected for this test? Type yes or no.Blank 4
5. Would you achieve the same result using an F test for the overall model? Type yes or no. Blank
1. A demographics consultant was asked by the State Transit Authority to study the transport patterns of workers commuting to the Sydney CBD from the inner city suburbs. The study was to determine whether a relationship existed between the type of transport used and the location, so that the authority may prioritise the services it needs to expand or upgrade. The summary data for the study is available below: Car Bus Train Other
Eastern Suburbs 81 161 148 39
Inner West & South 69 209 247 53
North Shore 75 148 165 64
2.
Assume that a 1% level of significance is to be used for the test.
3.
1. Calculate the test statistic, reporting your answer correct to three decimal places.Blank 1
4. Use the tables to determine …show more content…
A consulting group have tracked the average salary per week (in dollars) over time for a group of university students. The data is recorded in the file BBSALARY. Using the data from the year 1976 to the year 2000 (including 1976 and 2000) fit a trend equation to the average salary data over this period. You will need to create a new column of values (from 1 to 25) next to the YEAR column, with a value of 1 next to the year 1976, a value of 2 next to the year 1977 and a value of 25 next to the year 2000. This new column will be the data for your independent variable.
a) what is the intercept term (to 3 decimal places)?Blank 1
b) use the trend equation to forecast Average Salary for the year 2002 (to 3 decimal places).Blank 2
3 …show more content…
An AR(1) model is derived as follows: (with the standard error of the coefficient given in the brackets)
EXP(t) = 1.68 + 0.238 * EXP(t-1)
(0.132)
where
EXP(t) = the value of exports in millions of dollars in year, t
EXP(t-1)= the value of exports in millions of dollars in year, t-1
And the number of observations for this model is 29.
An economist believes that export prices from the previous year have a significant effect on the export prices in year t and wishes to test this claim using a 5% level of significance.
1. State the direction of the alternative hypothesis used to test the economist's claim. Type gt (greater than), ge (greater than or equal to), lt (less than), le (less than or equal to) or ne (not equal to) as appropriate in the box.Blank 1
2. Calculate the test statistic (ie. a t-stat), report your answer correct to three decimal places.Blank 2
3. Use the tables in the text to determine the critical value used to conduct the test. If there are two critical values, state only the positive value.Blank 3 .
4. Is the null hypothesis rejected for this test? Type yes or no.Blank 4
5. Would you achieve the same result using an F test for the overall model? Type yes or no. Blank