Monthly savings in PKR DR 125000 10 85000 15 105000 28 98000 35 54000 44 800000 56 55000 68 7000 74 24000 28 0 35 Suppose that we have data on “Monthly savings in PKR” and “dependency Ratio (DR)”(percentage share of non-earners to earners, in a family). Run a regression that can help us predict the monthly savings, given the data of DR. Predict monthly savings, if DR=10, and if DR=90; interpret the results in terms of prediction accuracy

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Monthly savings in PKR

DR

125000

10

85000

15

105000

28

98000

35

54000

44

800000

56

55000

68

7000

74

24000

28

0

35

Suppose that we have data on “Monthly savings in PKR” and “dependency Ratio (DR)”(percentage share of non-earners to earners, in a family). Run a regression that can help us predict the monthly savings, given the data of DR. Predict monthly savings, if DR=10, and if DR=90; interpret the results in terms of prediction accuracy

 

Expert Solution
Step 1

Data on “Monthly savings in PKR” and “dependency Ratio (DR)” (percentage share of non-earners to earners, in a family) is given as:

Monthly savings in PKR

DR

125000

10

85000

15

105000

28

98000

35

54000

44

800000

56

55000

68

7000

74

24000

28

0

35

 

Regression can be obtained as:

Statistics homework question answer, step 1, image 1

Step 2

Here, Monthly savings in PKR will be dependent on dependency ratio, let y= PKR and x= DR

From provided data,

y

y2

x

x2

xy

125000

15625000000

10

100

1250000

85000

7225000000

15

225

1275000

105000

11025000000

28

784

2940000

98000

9604000000

35

1225

3430000

54000

2916000000

44

1936

2376000

800000

640000000000

56

3136

44800000

55000

3025000000

68

4624

3740000

7000

49000000

74

5476

518000

24000

576000000

28

784

672000

0

0

35

1225

0

y=

1353000

y2=

690045000000

x=

393

x2=

19515

xy=

61001000

 

= 135300

= 39.3

Statistics homework question answer, step 2, image 1

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