a) Calculate the sample mean and sample standard deviation for both the "Unemployment Rate" and "Crime Rate per Thousand Population" variables.

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How can I work out question 3 (b)?

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17:43
3 of 3
Question 3
Region
North
FIN303 Class Test Revision(1).pdf
Page 2 of 6
Table 1: Unemployment and Crime in a Sample of 8 U.K. Regions
Yorkshire and The Humber
Midlands
London
South
Wales
Scotland
Northern Ireland
Unemployment
Rate (%)
4.39
3.78
4.42
5.11
3.20
2.66
4.34
2.35
96
101
78
95
70
79
45
59
(Source: data extract and modified from Statista, 2020)
Crime Rate per Thousand
Population
Table 1 shows a sample of 8 U.K. regions in 2020. In theory, we would expect crime rate
to be higher in regions where a greater percentage of the population was unemployed.
a) Calculate the sample mean and sample standard deviation for both the "Unemployment Rate"
and "Crime Rate per Thousand Population" variables.
b) Use the information in Table 1 to estimate and interpret the intercept and slope coefficients
of a bivariate linear regression model of crime rate per thousand population on
unemployment rates:
CrimeRate; Bo + B₁ UnemploymentRate; + εi
c) Calculate the residual sum of squares (RSS) and total sum of squares (TSS) from the estimated
model in b).
0
Transcribed Image Text:← 17:43 3 of 3 Question 3 Region North FIN303 Class Test Revision(1).pdf Page 2 of 6 Table 1: Unemployment and Crime in a Sample of 8 U.K. Regions Yorkshire and The Humber Midlands London South Wales Scotland Northern Ireland Unemployment Rate (%) 4.39 3.78 4.42 5.11 3.20 2.66 4.34 2.35 96 101 78 95 70 79 45 59 (Source: data extract and modified from Statista, 2020) Crime Rate per Thousand Population Table 1 shows a sample of 8 U.K. regions in 2020. In theory, we would expect crime rate to be higher in regions where a greater percentage of the population was unemployed. a) Calculate the sample mean and sample standard deviation for both the "Unemployment Rate" and "Crime Rate per Thousand Population" variables. b) Use the information in Table 1 to estimate and interpret the intercept and slope coefficients of a bivariate linear regression model of crime rate per thousand population on unemployment rates: CrimeRate; Bo + B₁ UnemploymentRate; + εi c) Calculate the residual sum of squares (RSS) and total sum of squares (TSS) from the estimated model in b). 0
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