Math  /  Data & Statistics

QuestionA property analyst wishes to investigate the relationship between the town council's valuation of residential property in Johannesburg and the market value (current selling price in R 100.000) of properties. A random sample of 13 recent property transactions was examined. \begin{tabular}{|c|c|} \hline Council valuation & Markel value \\ \hline 1659 & 1850 \\ \hline 1920 & 2000 \\ \hline 1900 & 1959 \\ \hline 1200 & 1400 \\ \hline 1000 & 1200 \\ \hline 850 & 1000 \\ \hline 780 & 920 \\ \hline 870 & 990 \\ \hline 915 & 1100 \\ \hline 820 & 978 \\ \hline 1300 & 1700 \\ \hline 1500 & 1900 \\ \hline 1700 & 1850 \\ \hline \end{tabular}
4. 1 Define the independent and the dependent variabies. 42 Draw a scatter plot to portrait the relationship between independent varables and the dependent variabies interpret the scatter plot 4.3 Find the equation of the regression line describing the best fir of the relationship
4. Calculate the coefficient of correlation. (4) 45 find the coefficient of determination (a) A. 5 Estimate the market value of properties in fohannestourg that have a council vartation of R 1200 (in R 100000 )
4. 7 interpret the meaning of the conflicuent of regressian coeltiaent ( b3b_{3} ) (2)

Studdy Solution
Complete the interpretation of the regression coefficient b1b_1. Interpretation: For every R 100.000 increase in the council valuation, the market value increases by R 93.5.\text{Interpretation: For every R 100.000 increase in the council valuation, the market value increases by R 93.5.}
Solution: The estimated market value for a council valuation of R 1200 is R 1242.58.\text{Solution: The estimated market value for a council valuation of R 1200 is R 1242.58.}

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