Question

Question 3 (a) A study was conducted to determine the relationship between unemployment rates and the level of civil unrest across five cities. The independent variable X is the rate of unemployment, and the dependent variable Y is the number of civil disturbances. The results are shown in Table Q3(a). Apply the results of Table Q3(a) to: City A B C D E Unemployment rate (X) Civil disturbances (Y) 25 17 13 15 5 10 105 2 4 Table Q3(a) (i) construct the linear regression model. (8 marks) suppose another City F has an unemployment rate of 18 %, discuss the level of civil disturbances. (1 mark) (iii) compute the Pearson correlation coefficient and the coefficient of determination. Comment on the results. (5 marks)

Answer 1

i) Aim To construct Model. a linear regression des By lnde using Minitab sofhoore, final dhe kinear Pegseccion equation- f is given by Y = 4.42 + 0.525 % - 0 Where, y = cinil disturbance X = unemployment rate 17 Aim To When find the level of cinal dicherbance unemployment rate is $80. Sol Cleo 18 from cand , 4.42 + 0,52 4.42 + 0.626 X1 " ng 14 The level of civil disturbance is 14 when nemployment rate is 18 Pearson correlation coefficient By using Excel we get - n(2 ) - (EX) (24) [n sx2 (3x)2] [n sye -(24)2 r= 0.8066 Hete, 30.8066. It is the clore hot Hence, lako say that there is positive corn behooen cinil dieherbance of unemployment rate

coeffichent of determination ! It is drenched by R² "R² = SIR TSS where, SSR = Sum of saware of régressor ISS - Toral sum of sanore. By using Minitab sofhoore the value is, LAR? = 0,6503 1 - exactly fitted fitted Hence, we good fit . Generaly model say that it is not but it is not bad we say, Iris well