Unemployment and family income are undoubtedly related: we would assume that as the national annual unemployment rate increases, average annual income would decrease. The table shows the annual unemployment rate and the average family income for the Philippines according to the regions. a. Compute for Pearson r b. Use linear regression to predict the average annual family income of the Philippines if the annual employment rate is 6.3% c. Use linear regression to predict the annual unemployment rate if the average annual unemployment rate if the average annual family income of the Philippines is P267,000 d. Are the predictions in parts b and c reliable? Why or why

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Unemployment and family income are undoubtedly related: we would assume that as the national annual unemployment rate increases, average annual income would decrease. The table shows the annual unemployment rate and the average family income for the Philippines according to the regions.

a. Compute for Pearson r

b. Use linear regression to predict the average annual family income of the Philippines if the annual employment rate is 6.3%

c. Use linear regression to predict the annual unemployment rate if the average annual unemployment rate if the average annual family income of the Philippines is P267,000

d. Are the predictions in parts b and c reliable? Why or why not.

Linear Regression and Correlation
Annual X
Unemployment Rate
Region
NCR
8.5
Cordilla
4.8
8.4
I - Ilocos Region
II - Cagayan Valley
III- Central Luzon
3.2
7.8
IVA - CALABARZON
8.0
IVB - MIMAROPA
3.3
V - Bicol Region
5.6
VI - Western Visayas
5.4
VII - Central Visayas
5.9
VIII- Eastern Visayas
5.4
IX - Zamboanga Peninsula
3.5
X-Northern Mindanao
5.6
XI - Davao Region
5.8
XII - SOCCSKSARGEN
3.5
Caraga
5.7
ARMM
3.5
Ave. Annual Family
Income (000,000)
4.25
2.82
2.38
2.37
2.99
3.12
2.22
1.87
2.26
2.39
1.97
1.90
2.21
2.47
1.88
1.98
1.39
Transcribed Image Text:Linear Regression and Correlation Annual X Unemployment Rate Region NCR 8.5 Cordilla 4.8 8.4 I - Ilocos Region II - Cagayan Valley III- Central Luzon 3.2 7.8 IVA - CALABARZON 8.0 IVB - MIMAROPA 3.3 V - Bicol Region 5.6 VI - Western Visayas 5.4 VII - Central Visayas 5.9 VIII- Eastern Visayas 5.4 IX - Zamboanga Peninsula 3.5 X-Northern Mindanao 5.6 XI - Davao Region 5.8 XII - SOCCSKSARGEN 3.5 Caraga 5.7 ARMM 3.5 Ave. Annual Family Income (000,000) 4.25 2.82 2.38 2.37 2.99 3.12 2.22 1.87 2.26 2.39 1.97 1.90 2.21 2.47 1.88 1.98 1.39
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