Herman,+S

Brainstorming: - single parents vs. number of high school graduates. - student average vs. cups of coffee drank. - number of female drinkers over age 20 vs. infant mortality rates*
 * CULMINATING TASK MDM 4U1**

//Question:// Will the number of female drinkers have a correlation with infant mortality rates?

//Hypothesis:// I believe that there will be a positive moderate correlation between the number of female drinkers over age 20 and the number of infant mortality rates. If there is a strong number of women who drink on a daily basis, it is less likely that their child will recieve proper care.

__Variables:__ Number of female drinkers (independant) Infant mortality rate (dependant)

__Female Drinkers in Canada:__ I am using the women from ages 20 to 44 because that will give the best range of women with small children 2003: .................... 2005: --- 2007: --- 2008:
 * Raw Data:**

of Persons__ || __Age__ || __Number of Persons__ || __Age__ || __Number of Persons__ || __Age__ || __Number of Persons__ || Stratified Sample- This information was taken from stats canada of women who are heavy drinkers. Response Bias- Females surveyed may be ashamed of the amount they drink, therefore giving false answers. Non- Response Bias- Not necessarily all females who drink heavily were surveyed.
 * __Age__ || __Number
 * __20- 34__ || __524 049__ || __20- 34__ || __579 566__ || __20- 34__ || __629 143__ || __20- 34__ || __646 631__ ||
 * __35- 44__ || __236 571__ || __35- 44__ || __225 484__ || __35- 44__ || __203 660__ || __35- 44__ || __199 170__ ||
 * __Total:__ || __**760 620**__ || __Total:__ || __**809 757**__ || __Total:__ || __**832 803**__ || __Total:__ || __**845 801**__ ||

__Infant Mortality Rate in Canada:__

Voluntary Response Sample- Only deaths of infants that have been recorded are used. Sampling Bias- Not all infant deaths have been recorded leaving the information inaccurate.
 * Year || Infant Mortality Rate ||
 * 2003 || 4.88 ||
 * 2005 || 4.75 ||
 * 2007 || 4.63 ||
 * 2008 || 5.08 ||

∑ 19.34 ...................... 3,248,981
 * =  ||= **Infant Mortality Rate** ||< **Number of Female Drinkers (20 to 44)** ||
 * = **2003** ||= **4.88** ||< **760 620** ||
 * = **2005** ||= **4.75** ||< **809 757** ||
 * = **2007** ||= **4.63** ||< **832 803** ||
 * = **2008** ||= **5.08** ||< **845 801** ||

__One Variable Data__
 * age || midpoint || frequency || fimi || (mi-u)² || fi(mi-u)² ||
 * 20-34 || 27 || 2 379 839 || 64 255 653 || 10.4329 || 24 828 622.3 ||
 * 35-44 || 39.5 || 864 885 || 34 162 957 || 85.9329 || 2 935 721 968 ||
 * __∑__ ||  || 3 244 724 || 98 418 610 ||   || 2 960 550 590 ||

Mean: __∑__ __fimi__ ∑fi = __98 418 610__ 3 255 724 = 30.23

Median = 2 379 839 + 864 885/ 2 = 1622362

Mode: The 20- 34 age interval has the highest frequency therefore the mode is 27

Standard Deviation: __∑fi(mi-u)²__ (square root) N =__2 960 550 590__ (square root) 3 244 724 =912.42 (square root) =30.21

__Two Variable Data__ ∑ 19.34 | 3 248 981 | 93.6202 | 2.64¹² | 15 710 718.32
 * ** x ** || ** y ** || ** x² ** || ** y² ** || ** xy ** ||
 * 4.88 || 760 620 || 23.8144 || 5.79¹¹ || 3 711 825.6 ||
 * 4.75 || 809 757 || 22.5625 || 6.56¹¹ || 3 846 345.75 ||
 * 4.63 || 832 803 || 21.4369 || 6.94¹¹ || 3 855 877.89 ||
 * 5.08 || 845 801 || 25.8064 || 7.15¹¹ || 4 296 669.08 ||

Correlation Coefficient: r= __n∑xy - (∑x)(∑y)__ (n∑x² - (∑x)²)(n∑y² - (∑y)²) {square root} =__4(15710718.32) - (19.34)(3248981)__ [4(93.6202) - (19.34)²] [4(2.64¹²) - (3248981)²] {square root} =__7580.74__ (0.4452)(1.69¹⁰) {square root} =__7580.74__ 86688.62 =0.09

There is a positive weak correlation. The more female drinkers there are, the more the infant mortality rate will go up. Because there is a weak relationship between the two, it does not mean that female drinkers are the cause in the increase of the infant mortality rate.

[|CIA World Factbook] Information on in this page is accurate as of September 17, 2009, [|www.indexmundi.com/canada/infant_mortality_rate.html]
 * Bibliography:**

Statistics Canada, CANSIM, table [|105-0501] and Catalogue no. [|82-221-X]. Last modified: 2009-07-01, www40.statcan.gc.ca/l01/cst01/health79a-eng.htm