Justina and Frank, a couple, operate a joint account at ECOBANK Ghana Limited. Both have decided to obtain cash from an ATM (cash machine) located at University of Ghana Campus. They suspect that the rate at which they spend cash is influenced by the amount of cash they withdrew at their previous visit to the ATM. To help them understand this, they deliberately vary the amounts they withdraw. They record, for each visit to an ATM, the amount, GHS (y), withdrawn, and the amount of hours, x, until their next visit to an ATM. The table below shows the records for all their visits in hours and the corresponding amount they withdrew in each instance. Using microsoft excel, answer the questions that follow after the table. withdrawal 1 2 3 4 5 6 7 8 9 10 Y 400 100 1000 1100 1200 1500 200 900 800 130 X 56 62 195 330 94 270 48 196 214 286   Using excel, provide a summary statistics for x and y (hint: mean, median, standard deviation, minimum and maximum values) and write short commentary on the summary statistics. Using excel, perform a scatter plot of the data and write a brief report on it. Using excel, perform a simple correlation on the data and write a brief comment on it.

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Justina and Frank, a couple, operate a joint account at ECOBANK Ghana Limited. Both have decided to obtain cash from an ATM (cash machine) located at University of Ghana Campus. They suspect that the rate at which they spend cash is influenced by the amount of cash they withdrew at their previous visit to the ATM. To help them understand this, they deliberately vary the amounts they withdraw. They record, for each visit to an ATM, the amount, GHS (y), withdrawn, and the amount of hours, x, until their next visit to an ATM. The table below shows the records for all their visits in hours and the corresponding amount they withdrew in each instance. Using microsoft excel, answer the questions that follow after the table.

withdrawal

1

2

3

4

5

6

7

8

9

10

Y

400

100

1000

1100

1200

1500

200

900

800

130

X

56

62

195

330

94

270

48

196

214

286

 

  1. Using excel, provide a summary statistics for x and y (hint: mean, median, standard deviation, minimum and maximum values) and write short commentary on the summary statistics.
  2. Using excel, perform a scatter plot of the data and write a brief report on it.
  3. Using excel, perform a simple correlation on the data and write a brief comment on it.
  4. Using excel, perform a least square regression of Justina and Frank’s rate of spending cash (y) on the number of hours it takes them to visit ATM machine to withdraw cash (x).
  5. Comment on the sign and magnitude of the slope parameter.
  6. Suppose the amount of hours until the next visit to an ATM is zero, what is the amount of GHS that Justina and Franklin are expected to have in cash?
  7. Suppose further that amount of hours until the next visit to an ATM is expected to rise by 100 hours, how much money do you expect Justina and Franklin to withdraw?
  8. Based on your postulated relationship between amount withdrawn from an ATM and number of visits to ATM, advice the couple on what do to ensure prudent spending.
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