- 25 Marks
QMDM – OCT 2022 – L2 – Q5 – Bivariate Data and Regression Analysis
Analyze bivariate data on median household income and percentage of mortgage-paying homeowners spending over 30% on housing costs in eight Ghanaian regions, explain bivariate data, draw scatter diagram and line, comment on relationship, calculate least squares line, and compare lines.
Question
Nationwide, about 27% of mortgage-paying home owners spent 30% or more of their income on
housing costs. Upper East region residents paid the largest percentage at 41% and the Greater
Accra residents the smallest at 17.5%. Eight regions were randomly selected, and the median
household income(X) in thousands and percentage of mortgage -paying homeowners whose housing
costs exceed 30 % of their income (Y) are as follows:
Regions Greater
Accra
Upper East
Bono
East
Ashanti Volta
Eastern Western Savannah
X 46.5 51.1 37.1 36.4 33.5 35.2 45.6 28.6 Y 37.2 41.0 20.6 24.3 22.0 17.5 30.0 23.0
(a) Briefly explain the term (X,Y) is bivariate data (b) Draw
(i) Scatter diagram for the data above (ii) a line through the points (c) Using (b) comment on the relationship between X and Y. (d) Calculate the least square line (e) Comment on the lines in (b)-(ii) and (d) above.
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