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You are required to do all the parts of this question by hand**More:**

**You are required to do all the parts of this question by hand (i.e. using summation notation and a nonprogrammable**

**calculator).**

**Suppose that we are interested in the relationship between the agricultural sector and total**

**output in developing countries and we are given data on variables Y and X where Y measures**

**per capita GDP in thousands of $US and X measures the percentage of the labour force in the**

**agricultural sector. The data is**

**X 9 10 8 7 10 4 5 5 6 7**

**Y 6 8 8 7 7 12 9 8 9 10**

**a. Consider the relationship given by ?? ? ?? ? ???? ? ?? and assume that the Gauss Markov**

**theorem holds. Use this data to calculate ??, ??, ??? (the sum of squared errors) and ??????.**

**Show your working. Then test the null hypothesis (at the 5% level) that the percentage of**

**workers in the labour force in agriculture does not affect per capita GDP, choosing a suitable**

**alternative for your test. Briefly justify your choice of an alternative hypothesis, and comment on**

**any additional assumptions that you need to make to perform the test. (18 marks)**

**b. Calculate the total sum of squares (SST) and R2**

** for this regression, and then comment on the fit**

**of this model. (5 marks)**

**c. Suppose that per capita GDP was measured in $US rather than thousands of $US. How would**

**that change the coefficients and the sum of squared errors for the equation in (a)? Show your**

**working. (7 marks)**

From the inferma lien, consider a randem sample aid-{I memhershas a mean of Ell] heats and a standard des'ia lien of 11.3 heats

From the inferma lien, consider a randem sample aid-{I memhershas a mean of Ell] heats and a standard des'ia lien of 11.3 heats

3)

Null hypothesis, Ha : the pulse rate cfmen has a standard...

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This question was answered on: * Feb 21, 2020 *

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