Child labor in diamond mines. The role of child laborers on Africa’s colonial-era diamond mines was the subject of research published in the Journal of Family History (Vol. 35, 2010). Ône particular mining company lured children to the mines by offering incentives for adult male labor- ers to relocate their families close to the diamond mine. The success of the incentive program was examined by determining the annual accompaniment rate, i.e., the per- centage of wives (or sons, or daughters) who accompanied their husbands (or fathers) in relocating to the mine. Information from the journal article was used to simulate accompaniment rates for nine consecutive years. Those rates are shown in the table below. a. Find the correlation coefficient relating the accompani- ment rates for wives and sons. Interpret this value. b. Find the correlation coefficient relating the accompa- niment rates for wives and daughters. Interpret this value. c. Find the correlation coefficient relating the accom- paniment rates for sons and daughters. Interpret this value. Year Wives Sons Daughters 28.7 2.4 1.7 0.5 14.3 41.6 13.1 3 37.2 10 4 39.3 3.7 5.6 19.6 19.4 5 39.5 6. 39.9 11.2 21.7 40.2 31.3 25.3 7 12.1 15.3 15.1 19.6 8 8.8 9 7.6
Child labor in diamond mines. The role of child laborers on Africa’s colonial-era diamond mines was the subject of research published in the Journal of Family History (Vol. 35, 2010). Ône particular mining company lured children to the mines by offering incentives for adult male labor- ers to relocate their families close to the diamond mine. The success of the incentive program was examined by determining the annual accompaniment rate, i.e., the per- centage of wives (or sons, or daughters) who accompanied their husbands (or fathers) in relocating to the mine. Information from the journal article was used to simulate accompaniment rates for nine consecutive years. Those rates are shown in the table below. a. Find the correlation coefficient relating the accompani- ment rates for wives and sons. Interpret this value. b. Find the correlation coefficient relating the accompa- niment rates for wives and daughters. Interpret this value. c. Find the correlation coefficient relating the accom- paniment rates for sons and daughters. Interpret this value. Year Wives Sons Daughters 28.7 2.4 1.7 0.5 14.3 41.6 13.1 3 37.2 10 4 39.3 3.7 5.6 19.6 19.4 5 39.5 6. 39.9 11.2 21.7 40.2 31.3 25.3 7 12.1 15.3 15.1 19.6 8 8.8 9 7.6
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Transcribed Image Text:**Child Labor in Diamond Mines**
The role of child laborers in Africa's colonial-era diamond mines was explored in research published in the *Journal of Family History* (Vol. 35, 2010). A particular mining company attracted children to work by giving incentives to adult male workers to move their families closer to the diamond mines. The effectiveness of this incentive program was assessed by calculating the annual *accompaniment rate* — the percentage of wives (or sons, or daughters) who joined their husbands (or fathers) in moving to the mine. The data from the journal article was used to simulate accompaniment rates for nine consecutive years, as presented in the table below.
**Tasks:**
a. Calculate the correlation coefficient relating the accompaniment rates for wives and sons, and interpret this value.
b. Calculate the correlation coefficient relating the accompaniment rates for wives and daughters, and interpret this value.
c. Calculate the correlation coefficient relating the accompaniment rates for sons and daughters, and interpret this value.
**Table: Accompaniment Rates over Nine Years**
```
| Year | Wives | Sons | Daughters |
|------|-------|------|-----------|
| 1 | 28.7 | 2.4 | 14.3 |
| 2 | 41.6 | 1.7 | 13.1 |
| 3 | 37.2 | 0.5 | 10 |
| 4 | 39.3 | 3.7 | 19.6 |
| 5 | 39.5 | 5.6 | 19.4 |
| 6 | 39.9 | 11.2 | 21.7 |
| 7 | 40.2 | 12.1 | 15.3 |
| 8 | 31.3 | 8.8 | 15.1 |
| 9 | 25.3 | 7.6 | 19.6 |
```
**Source:**
Based on T. Cleveland, “Minors in Name Only: Child Laborers on the Diamond Mines of the Companhia de Diamantes de Angola (Diamang), 1917–1975,” *Journal of Family History*, Vol. 35, No. 1, 2010
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