مذكرة احصاء ثالث ثانوى

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‫ﻟﻸﺳﺘﺎﺫ ﺍﻟﻘﺪﻳﺮ ‪ /‬ﻋﻠﻰ ﺍﻟﺪﻳﻦ ﻳﺤﻴﻰ ‪٠١١١٩٦٦٠٦١٦‬‬

‫ﺇﻹﺣﺼﺎﺀ ﻟﻠﺼﻒ ﺍﻟﺜﺎﻟﺚ ﺍﻟﺜﺎﻧﻮﻯ‬

‫· ﻃﺮ ﻘﺔ ﺣﺴﺎب ﻣﻌﺎ ﻞ اﻻرﺗﺒﺎط ا ﻄﻰ‬

‫‪ ‬‬ ‫‪ ‬‬

‫اﻵﻟﺔ ا ﺎﺳﺒﺔ ) ‪ ( 570ES‬و‬

‫) ‪(١‬‬

‫· اﻻرﺗﺒﺎط ‪ :‬ﻫﻮ ﻃﺮ ﻘﺔ إﺣﺼﺎﺋﻴﺔ ﻳﻤ ﻦ ﻣﻦ ﺧﻼ ﺎ ﺪﻳﺪ درﺟﺔ‬ ‫وﻧﻮع اﻟﻌﻼﻗﺔ ﺑ‬

‫· ﻣﻌﺎ ﻞ اﻻرﺗﺒﺎط )ﺭ( ‪ :‬ﻫﻮ ﻣﻘﻴﺎس ﻛ‬

‫)‪ (٤‬ﺑﻌﺪ إدﺧﺎل‬

‫إذا ﻧﺖ ﺭ = – ‪ ١‬ﺉ اﻻرﺗﺒﺎط ﻋﻜ‬

‫ﺣﻴﺚ ‪:‬‬

‫ﺗﺎم‬

‫‪،‬‬

‫‪7‬‬

‫ً‬ ‫أﻳﻀﺎ " ﻣﻌﺎ ﻞ اﻻرﺗﺒﺎط ا ﻄﻰ "‬

‫وﻫﻮ اﻻﺧﺘﻴﺎر ا ﺴﺎﺑﻊ )‪ : (Reg‬وﻋﻨﺪ ا ﻀﻐﻂ ﻋﻠﻴﻪ ﺗﻈﻬﺮ‬

‫ﻠﺤﻮﻇﺔ ﻫﺎﻣﺔ ‪:‬‬

‫‪ ü‬ﻥ) ‪ ¤‬ﺫ ‪( ¤ )) -‬ﺫ ‪ ü‬ﻥ) §ﺫ ‪( § )) -‬‬

‫‪.‬‬

‫ﺫ‬

‫ﻹﻇﻬﺎر ا ﺘﺎﺋﺞ‬

‫ﻣﻦ ا ﺘﻐ ﻦ‬

‫ﺷﺎﺷﺔ ﺟﺪﻳﺪة ﺑﻬﺎ ﻋﻤﻠﻴﺎت ا ﻤﻊ ا ﻤﻜﻨﺔ‬

‫‪.‬‬

‫)ﺍ( ﻧﻀﻐﻂ‬

‫ﺣﻴﺚ ‪ :‬ف = اﻟﻔﺮق ﺑ رﺗﺐ ا ﺘﻐ ﻦ ﺱ ‪ ،‬ﺹ ‪.‬‬ ‫)‪ (١‬ﻣﻌﺎ ﻞ ارﺗﺒﺎط ﺑ ﺳﻮن ﻳﺼﻠﺢ ﻠﺒﻴﺎﻧﺎت ا ﻜﻤﻴﺔ ﻓﻘﻂ ‪.‬‬

‫ﻧﻀﻐﻂ‬

‫· ﻼﺣﻈﺎت ﻫﺎﻣﺔ ‪:‬‬

‫)ﺏ( ﻧﻀﻐﻂ‬

‫)‪ (٢‬ﻣﻌﺎ ﻞ ارﺗﺒﺎط ا ﺮﺗﺐ ﺴ ﻣﺎن ﻳﺼﻠﺢ ﻠﺒﻴﺎﻧﺎت ا ﻜﻤﻴﺔ‬

‫)ﺝ( ﻧﻀﻐﻂ‬

‫ﺎ ﺻﻔﺔ اﻟ ﺗﻴﺐ ‪.‬‬

‫ً‬

‫)‪ (‬ﻧﻀﻐﻂ‬

‫‪.‬‬

‫‪AC‬‬ ‫=‬

‫‪4‬‬

‫‪.‬‬

‫‪AC‬‬ ‫=‬

‫‪4‬‬

‫‪SHIFT 1‬‬

‫‪5‬‬

‫‪4‬‬

‫‪SHIFT 1‬‬

‫=‬

‫‪1‬‬

‫‪4‬‬

‫‪SHIFT 1‬‬

‫ﻤﻮع ﺧﺎﻧﺔ ﺱ‪ ٢‬ﺛﻢ ﻧﻀﻐﻂ‬

‫ً‬

‫)‪ (٤‬ﺗﺮﺗﻴﺐ ﻗﻴﻢ ﺱ ‪ ،‬ﺹ إﻣﺎ ﺗﻨﺎز ﺎ ﻣﻌﺎ أو ﺗﺼﺎﻋﺪﻳﺎ ﻣﻌﺎ ‪.‬‬ ‫=‬

‫=‬

‫‪2‬‬

‫)ﻩ( ﻧﻀﻐﻂ‬

‫ﺎ‬

‫=‬

‫‪3‬‬

‫‪4‬‬

‫‪١‬‬

‫وذ ﻚ ﻻ ﺎد ﻤﻮع ﺧﺎﻧﺔ ﺹ ﺛﻢ‬ ‫وﻫﻮ )‪ (åxy‬وذ ﻚ ﻻ ﺎد‬ ‫‪.‬‬

‫‪AC‬‬

‫وﻫﻮ ) ‪ (åx2‬وذ ﻚ ﻻ ﺎد‬

‫‪AC‬‬

‫‪SHIFT 1‬‬

‫ﻤﻮع ﺧﺎﻧﺔ ﺹ‪ ٢‬ﺛﻢ ﻧﻀﻐﻂ‬

‫ﻤﻮع ﻫــﺬه اﻟﻘﻴــﻢ‬ ‫ﻋﺪدﻫﺎ‬

‫ا ﺪول ﻓﻨﺨﺘﺎر ﻣﻨﻬﺎ‬

‫وﻫﻮ )‪ (åx‬وذ ﻚ ﻻ ﺎد ﻤﻮع ﺧﺎﻧﺔ ﺱ ﺛﻢ‬

‫ﻤﻮع ﺧﺎﻧﺔ ﺱ ﺹ ﺛﻢ ﻧﻀﻐﻂ‬

‫)‪ (٣‬ﻣﻌﺎ ﻞ ارﺗﺒﺎط ا ﺮﺗﺐ ﺴ ﻣﺎن أﻗﻞ دﻗﺔ ﻷﻧﻪ ﻳﻬﻤﻞ ﻓﺮوق‬

‫)‪ (٥‬رﺗﺒﺔ اﻟﻘﻴﻢ ا ﻜﺮرة = ا ﻮﺳﻂ ا ﺴﺎ‬

‫‪4‬‬

‫‪SHIFT 1‬‬

‫ا ﺪول ‪ (4) ،‬ﻫﻮ اﻻﺧﺘﻴﺎر ا ﺮاﺑﻊ وﻫﻮ ﻋﻤﻠﻴﺔ ا ﻤﻊ ﻓﺘﻈﻬﺮ‬

‫ﻧﻀﻐﻂ‬

‫اﻷﻋﺪاد ﻋﻨﺪ ﺣﺴﺎب ا ﺮﺗﺐ ‪.‬‬

‫ا ﻮا ‪:‬‬

‫‪AC‬‬

‫ﺛﻢ ‪:‬‬

‫ﺣﻴﺚ )‪ (SHIFT 1‬ﺗﻈﻬﺮ ﺷﺎﺷﺔ اﻟﻌﻤﻠﻴﺎت اﻟ ﻳﻤ ﻦ إﺟﺮاءﻫﺎ‬

‫‪ ‬‬

‫ً‬

‫‪MODE 1‬‬

‫ﺟﺪول ﺑ ﺳﻮن ﺑﺎﺳﺘﺨﺪام اﻵﻟﺔ ا ﺎﺳﺒﺔ ﺑﻌﺪ‬

‫)‪ (٤‬ﻧﻀﻐﻂ ا ﻔﺎﺗﻴﺢ ا ﺎ ﺔ‬

‫ً‬

‫‪3‬‬

‫وﻫﻮ )‪ (r‬أى )ﺭ( ﺛﻢ ﻧﻀﻐﻂ )=(‬

‫اﻻﻧﺘﻬﺎء ﻣﻦ ا ﻄﻮات ا ﻼث اﻷو ﻧﻀﻐﻂ‬

‫ً‬ ‫أﻳﻀﺎ " ﻣﻌﺎ ﻞ ارﺗﺒﺎط ا ﺮﺗﺐ "‬

‫وا ﻮﺻﻔﻴﺔ اﻟ‬

‫ﺑﻴﺎﻧﺎت ا ﺪول ‪.‬‬

‫)‪ (٥‬ا ﺮوج ﻣﻦ ا ﻈﺎم اﻹﺣﺼﺎ ‪:‬‬

‫ﻥ) ‪( § )´ ¤ )) - § ¤‬‬

‫ﻥ ) ﻥﺫ ‪(1-‬‬

‫‪3‬‬

‫‪7‬‬

‫‪SHIFT 1‬‬

‫ﻈﻬﺮ ﻗﻴﻤﺔ ﻣﻌﺎ ﻞ اﻻرﺗﺒﺎط ‪.‬‬

‫‪ ‬‬

‫‪ )6‬فﺫ‬

‫‪.‬‬

‫ﻫﻮ ﺷﺎﺷﺔ ﺧﻴﺎرات اﻟﻌﻤﻠﻴﺎت ا ﻄﻠﻮب‬

‫ﺷﺎﺷﺔ ﺟﺪﻳﺪة ﺘﺎر ﻣﻨﻬﺎ‬

‫اﻻرﺗﺒﺎط ﺿﻌﻴﻒ ‪.‬‬

‫ﺭ= ‪– ١‬‬

‫‪SHIFT 1‬‬

‫ﻋﻤﻠﻬﺎ‬

‫اﻻرﺗﺒﺎط ﻗﻮى و ﻤﺎ اﻗ ﺖ ﻗﻴﻤﺘﻪ اﻟﻌﺪدﻳﺔ ﻣﻦ ا ﺼﻔﺮ ن‬

‫وﺴ‬

‫ﻋﻨﺎ‬

‫=‬

‫ﻤﺎ أﻗ ﺖ اﻟﻘﻴﻤﺔ اﻟﻌﺪدﻳﺔ ﻌﺎ ﻞ اﻻرﺗﺒﺎط ﻣﻦ اﻟﻌﺪد ‪ ١‬ن‬

‫ﺣﻴﺚ ‪ :‬ﻥ = ﻋﺪد ﻗﻴﻢ‬

‫ا ﺪول ﻧﻀﻐﻂ‬

‫‪AC‬‬

‫)‪ (٥‬ﻧﻮﺟﺪ ﻣﻌﺎ ﻞ اﻻرﺗﺒﺎط )ﺭ( ‪:‬‬

‫إذا ﻧﺖ ﺭ = ‪ ١ +‬ﺉ اﻻرﺗﺒﺎط ﻃﺮدى ﺗﺎم‬

‫ﺭ=‬

‫‪ß‬‬

‫ﺛﻢ‬

‫‪Þ‬‬

‫ﺘﻘﻞ‬

‫ﻠﻌﻤﻮد ا ﺎ )ﺹ( وﻧﺪﺧﻞ ﺑﻴﺎﻧﺎﺗﻪ ﺑﻨﻔﺲ اﻟﻄﺮ ﻖ‬

‫· ﻧﻮع اﻻرﺗﺒﺎط ‪:‬‬

‫وﺴ‬

‫‪2‬‬

‫ﻫﻮ )‪(A+BX‬‬

‫ﻋﻼﻣﺔ )=( ﺑﻌﺪﻫﺎ و ﻌﺪ آﺧﺮ ﺑﻴﺎن ﻧﻀﻐﻂ‬

‫ﺴ ﻳﻘ ﺲ ﻗﻮة اﻻرﺗﺒﺎط‬

‫ﲪ‪١‬‬ ‫ﲪﺭ ﺲ‬ ‫ﺑ ﻣﺘﻐ ﻦ ﺣﻴﺚ – ‪ ١‬ﺲ‬

‫‪2‬‬

‫وﻫﻮ ﺧﻴﺎر إدﺧﺎل‬

‫)‪ (٣‬ﻧﺪﺧﻞ ﺑﻴﺎﻧﺎت اﻟﻌﻤﻮد اﻷول ) ﺱ( ﺑ ﺘﺎﺑﺔ اﻟﻌﺪد ﺛﻢ ا ﻀﻐﻂ‬

‫اﻻﻧ ﺸﺎر ‪ :‬ﻫﻮ ﺗﻤﺜﻴﻞ ﺑﻴﺎ ﻟﻌﺪد ﻣﻦ اﻻزواج ا ﺮﺗﺒﺔ ﻮﺻﻒ‬

‫اﻟﻌﻼﻗﺔ ﺑ ﻣﺘﻐ ﻦ ‪.‬‬

‫ﺘﺎر ا ﻈﺎم اﻹﺣﺼﺎ )‪: (STAT‬‬

‫ﺣﻴﺚ ‪:‬‬

‫ﻣﺘﻐ ﻦ ‪.‬‬

‫ﻳﺪى ‪:‬‬

‫‪MODE 3‬‬

‫ا ﻴﺎﻧﺎت ا ﻄﻴﺔ ﻛﺄزواج ﺮﺗﺒﺔ ‪.‬‬

‫· اﻻرﺗﺒﺎط ا ﻄﻰ اﻟ ﺴﻴﻂ ‪ :‬ﻫﻮ ﻣﻘﻴﺎس رﺟﺔ اﻟﻌﻼﻗﺔ ﺑ‬ ‫· ﺷ‬

‫اﻵﻟﺔ اﻟ ﺑ‬

‫)‪ (٢‬ﺗﻈﻬﺮ ﺷﺎﺷﺔ ﺟﺪﻳﺪة ﺘﺎر ﻣﻨﻬﺎ رﻗﻢ‬

‫ﻣﺘﻐ ﻦ ‪.‬‬

‫ﺳﻮن )ﺭ( ﺑﺎﺳﺘﺨﺪام‬

‫‪.‬‬

‫وﻫﻮ )‪ (åy2‬وذ ﻚ ﻻ ﺎد‬

‫‪AC‬‬

‫‪.‬‬


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