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数学 大学生・専門学校生・社会人

統計学の知識ある方、以下にある式の導出方法分かりやすく教えていただきたいです。 分かるところだけでも教えてくれると嬉しいです😭 ちなみにこのサイトは、 統計学入門 http://www.snap-tck.com/room04/c01/stat/stat0001.html こ... 続きを読む

19:56 1 allệ (注3) 相関分析と同様に回帰分析の場合も信頼区間を求めることができま す。まずyの推測値の信頼区間は次のようになります。 この信頼区間は母集 団のy推測値の100(1-α) % が含まれる範囲を表し、信頼限界と呼ぶことが多 いようです。 y=a+b=(my-bmx)+bx = my+b(z-mz)→(j-my)=b(x-mz) VR VR V(j-my) = V(j)+V(my)-2C(j,my) = V(g) + -2 = V(y) - VR =V n n n =V(b(z-mx))=(x-m²) 2V(b)=(x-m²) 2VR S エエ (x - ₂)² 2V (6) - Vx{1+ (².²} =VR n S x=X0の時のy推測値の100(1-α)% 信頼限界: U Dol=a+bro ±t(n-2,a) VR -2,0)√| V₁ { 1/2 + ( 2 = m₂) ² } n S エ mx:xの標本平均 Sxx:xの平方和 VR : 残差分散 VR C(jj,my) = y推定値とmyの共分散 t(n-2, α): 自由度(n-2)のt n 分布における100α%点 この100(1-α)% 信頼限界において、x=mxの時の値を計算すると次のように なります。 VR ŷOL =a+bm±t(n-2,0) VR・ -2,0) √/ VR { 1 1 1 + (m₂ - m₂)² S エエ 2²}. =my±t(n-2,a)V n n これは値と残差分散が少し異なるだけで、 平均値の信頼限界(信頼区間) とほ ぼ同じ式であることがわかると思います。 つまり回帰直線は平均値を2次元 に拡張したものに相当し、 y推測値の信頼限界は平均値の信頼限界を2次元に 拡張したものに相当することになります。 次にyの信頼限界を求めてみましょう。 もしaとbに誤差がない、つまりy推 測値に誤差がないとすると次のようになります。 これが許容限界になりま す。 V(g) = V(g+c)=V(e) =VR x=x0の時のyの100(1-α) % 許容限界: gol =a+bro ±t(n-2,a)VVR you x=mxの時: gol = my±t(n-2,a) VVR しかし実際にはaとbには誤差があるので次のようになります。 これが棄却 限界です。 回帰分析の場合は棄却限界のことを予測限界 (prediction limit)と 呼びます。 (x-²)) S エ n n SII V(g+c)=V(g)+V(c) +2C(j,c)=VR /R { 1 + (*² =− m ₂) ² } + V₁ + 0 = VR { 1 + 1 2 + ( x − m ₂ )² ]} x=X0の時のyの100(1-α) % 予測限界: 1 (x-m₂)² yoz=a+bro ±t(n-2.0)/VR =t(n-2,α) √ -2,0) √/V₁ { 1 + 1 + n S エ U x=mxの時: yol = my ±t(n-2,a) 2, a) √/ VR (1+1) VR (1+ 安全ではありません - snap-tck.com

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英語 高校生

日本語に翻訳してくれる方いらっしゃいますか😭

F UXIT How many hours of sleep did you get last night? For years, scientists have tried to work out how long we should sleep to help our bodies and minds to function best. In 1951, two researchers at the University of Chicago made a breakthrough by identifying an important stage of sleep called REM sleep. 5 REM is an abbreviation for Rapid Eye Movement and the name comes from 由来する。 AFG the very fast movement of the eyes during sleep. In REM sleep, the brain is active but the body is asleep. When a person is having dreams they are often in REM sleep. During this time, the eyes might move quickly in reaction to something seen in a dream. Someone in REM 10 sleep may wake up suddenly to a noise and be able to remember the dream in detail. ju While REM sleep is known as the body's sleep, non-REM sleep is known as ryhmis the mind's sleep. During non-REM sleep, the brain relaxes while the body produces growth hormones so it can recover. About 80 percent of sleep is lat 15 non-REM sleep. If you sleep for seven to eight hours a night, only about one and a half hours are spent in REM sleep. In one night, a person will continue to repeat a cycle of both REM and non-REM sleep, which lasts about 90 NEXU prinsteil minutes. HO Many people will repeat about five cycles each night to help them function 4 people 20 best. However, other people may need to repeat (fewer or more cycles. Interestingly, while Leonardo Da Vinci only slept for about 90 minutes per おりりない day, Einstein needed ten hours of sleep. Still, both of them became famous 海 for their artistic and scientific achieveme achievements. Perhaps they were getting just the right amount of rest for their bodies and minds(aby) 116 for their artistic and scientific の 95. godinu b many more most bady brain nch

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英語 高校生

進行形の自制のの使い分けがわかりません

LESSON Practice ysteemori s 101 yiqqs II'I 8 1 Fill in the blanks and complete the sentences. msigo1q 1. Next Monday, our class visit a local farm. 来週の月曜日に私たちのクラスは地元の農場を訪問します. )()( 2. We ( ) help harvest vegetables and fruits there. みんなでそこで, 野菜や果物の収穫を手伝う予定です. 3. We ( ) ( ) to the library to do some research on organic farming today. 今日,有機農法について調べるために図書館に行く予定です. 4. We( )( )(b) the vegetables in our home economics class next Wednesday. 来週の水曜日には,私たちは家庭科の授業で野菜を調理しているでしょう. 2 Put the words in the correct order to complete the sentences. 1. [ starts/ceremony / ten o'clock / the graduation/at] tomorrow. 卒業式は明日10時に始まります. 2.[going/afarewell speech / to / am/ give / I ] in front of all the graduating students. 私は卒業生全員の前でお別れのスピーチをする予定です. 3. Today after school, [ practicing/my/I/ the speech/with/am/homeroom teacher ]. 今日の放課後,担任の先生と一緒にスピーチの練習をする予定です. 4. I hope that [ everyone / will / speech/inspire/ my ] on this important day. この大切な日に、 私のスピーチがみんなを元気づけることを願っています。 3 Put the Japanese parts of the passage into English. Genre ① 今年の修学旅行は9月22日に始まります. The destination is Kyoto, and ② 私たちはた たくさんの有名な神社や寺を訪ねる予定です. ③9月24日に雨が降らなければ,私たちは鴨川沿い のレストランで夕食をとります. It is called Kawayuka cuisine, and it is a part of Kyoto's culture. Next week, special classes about Kyoto will be offered. ② 来週の今ごろには私た ちは京都の歴史と文化を勉強しているでしょう. 鴨川沿いの along the Kamo River

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英語 高校生

この答えを教えて欲しいです。🙇‍♀️

Level Passage : 2:30 Lesson 5 Jet Reading 22 ⑤ Questions: 2:00 Compared to dogs and other pet animals, cats often have lots of freedom. Many owners let their pet cats go outside whenever they want to. But where do they go? Does your cat visit your neighbor's house for extra food? How far from home does your cat actually travel? Cat owners have been wondering about such questions for a long time. 5 To find out where cats go and what they do, researchers decided to track them by putting a GPS (Global Positioning System) device around their neck. It is well known that cats are natural hunters. They often chase and catch *wildlife, such as birds and other small animals. It was therefore believed Hoor war301 that cats may go far from their homes to hunt. However, the research showed some surprising facts about cat *behavior. It seems that most cats 10 don't travel very far from their homes. On average, they move around two houses away. Owners were *relieved to hear this result because it confirmed that their cats do not cross major roads. There was another interesting result. One female cat walked more than 1 kilometer from her home. When the owner checked her GPS data, they discovered that the cat had gone to their old house. It showed that cats remember the past longer and more clearly than we think.(219 words) *wildlife 44 *relieve ~を安心させる *behavior Infogt) A Choose the best options. (2 points x2) According to the passage, which of the following statements are true about cats? (Choose two options. The order does not matter.) so svom i da a. They enjoy more freedom than other pet animals. imove sill niw nuo exentabilt o b. A GPS device was put around a cat's tail by researchers. c. They go far from their homes to hunt wildlife. Sanino sasd Juoda su v d. The research proved that most cats cross major roads. of Inboq bow it bean 17 s e. They may remember the past more clearly than we expect. Bewe )( B Fill in each blank with a suitable word. (2 points x3) ******* ******** Many owners let their cats go (¹ ), but no one exactly knew where they went and what ) the cats by using a GPS device. they did. In order to find this out, researchers decided to (² maswid Bai As a result, they learned that most cats didn't travel very far from their homes. One cat, however, walked more than 1 kilometer from its home. It turned out that it had (3 shows that cats have a better memory than people thought. ) its old house. This result sal al commaly to pound How Judw grinidman [catch/ forgotten / visited / outside /track/inside] Time ☆ ~1:45 ~2:00 ~2:15 ~2:30 ~2:45 ~3:00-3:30 Reading Speed X WPM 125 109 97 88 80 73 63 /10 Name Class No. 10 2015

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英語 高校生

解答お願いします 2枚目の画像を参考にします

cal 50 Work It Out Fill in the blanks with correlative conjunctions. 1 The child wants neither cheesecake 2 Benjamin can ice cream. play basketball and in-line skate well. Prague Square or Charles Bridge. 3 We'll go to 4) I like to watch both action movies romances. She has a desktop nor a laptop. B Read the passage and fill in the blanks with correlative conjunctions. she and I like to eat My best friend Janet and I have a lot in common. pasta. We eat a - pizza nor hamburgers. We like to either sing karaoke go to the movies in our leisure time. We always choose comedy or horror movie to see at the movie theater. We really want to go to Central Park and Times Square during our summer vacation. Because we have so much in common, we've decided to become roommates. Check the correct answers. 1 Either my father or my mother ( is/are ) going to the supermarket. 2 Neither the webcam nor the speakers ( is/are ) broken. 3 Neither Sarah nor 1 (want/ wants) to go shopping with them. Both Spanish and German ( are / is) taught in this high school. 5 Either Sam or his friend ( have / has ) eaten the cake. D Combine the sentences based on the hints given. 1 My roommate doesn't have a notebook. / I don't have a notebook. (neither ... nor ... ) 2 Tom Hanks may be the leading actor of the movie. / Tom Cruise may be the leading actor of the movie. (either ... or...) 3 Paul invited me out for dinner tonight. / Peter also invited me out for dinner tonight. (both ... and ...) UNIT 05 WHAT'S ON YOUR PLAYLIST?

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