Assessment 3

The following socio-economic data were taken from the British Census for the parliamentary constituencies in England and Wales:

OWNOCC: The % of households which are owner-occupied (i.e. not rented);

SEG_V: The % of economically active individuals in socio-economic class V

(unskilled manual workers);

ILLNESS: The % of individuals with a long-term illness;

UNEMP: The % of economically active individuals who are registered as unemployed.

1. A researcher thinks that variations between constituencies in owner-occupation rates are caused by variations in social class.

1. State the appropriate null and research hypotheses. Which variable is the dependent (Y) variable and which is the independent (X)?
2. Correlate % owner occupation with % social class V and comment on what it tells you about the relationship.
3. Produce a scatter-plot of the relationship between % owner-occupation and % class V: what does the graph suggest about the relationship? (Include the scatterplot in your report).
4. Carry out a regression analysis of % owner-occupation on % class V. Comment on the results: what do they tell you about the relationship between the two variables?

2. A researcher thinks that variations between constituencies in illness rates are caused by variations in unemployment.

1. State the appropriate null and research hypotheses. Which variable is the dependent (Y) variable and which is the independent (X)?
2. Correlate illness with unemployment and comment on what it tells you about the relationship.
3. Produce a scatter-plot of the relationship between illness and unemployment: what does the graph suggest about the relationship? (Include the scatterplot in your report).
4. Carry out a regression analysis of illness on unemployment. Comment on the results: what do they tell you about the relationship between the two variables?

3. A scatterplot of 2 variables, Y and X, reveals the following pattern (the graph includes the regression line):

1. What does the scatterplot suggest about the relationship between X and Y?
2. From the scatterplot, estimate the likely values of a (the intercept, or constant) and b (the slope coefficient).
3. If the correlation coefficient for the relationship between X and Y is -0.92, what does this tell you about the nature of the relationship between the variables?
4. Given the above correlation coefficient, how much of the variation in Y can be explained by the X variable?

4. The following regression model examines the relationship between the vote share for the Labour party and various constituency level variables from the 2001 General Election in Britain. There are four models, one including all constituencies, and the other three for England, Scotland and Wales separately.

Note that the figures are unstandardized regression coefficients with t-statistics in brackets.

1. Interpret these models, paying attention to differences between the three regions.
2. Is there an alternative way to examine regional differences in this model?
3. Explain how you might go about improving the model.

Price: $21.55

Solution: The downloadable solution consists of 12 pages, 955 words and 8 charts.
Deliverable: Word Document