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Mathematics Senior High

pointに書いてある式はどのようにして求められたのですか?

重要 例題 16 変量の変換 40人の生徒に行った2科目の試験の得点をx,yとすると,次のようであった。 満点最高点 最低点 平均点 標準偏差 x 40 38 10 25 4.5 y 25 23 5 18 2.0 どちらの試験も,満点を100点,最低点を 40 点に揃えるように, 得点を1次式 x'=2x+20,y'=3y+25で変換した。 このとき、xの平均点は アイ 点, x'′ の標準偏差はウ エ 点となる。 また,xとyの共分散が 7.65のとき,xとyの共分散はオカキ,xとy の相関係数は0. クケとなる。 POINT ! 解答 x'の平均点は 2×25+20= アイ 70 x' の標準偏差は 2×4.5 = 9.0 また, xとyの共分散が 7.65 のとき, xとyの共分散は y'′ の標準偏差は 3×2.0 = 6.0 よって, x' とy'の相関係数は rxy= 変量x,yをu=ax+b, v=cy+d (a,b,c,d は定数)によって新しい 変量 u, vに変換するとき 平均値 u=ax+b 分散 su²=a'sx2 標準偏差 Su=|a|Sx 共分散 Suv=acSxy a>0のとき,相関係数 変わらない の 10-0350VENTY -x'=2x+20 ←Sx=|2|Sx 2×3×7.65=オカ45.キ9 第4章 データの分析 45.9 9.0×6.0 =0.クケ85... (*) =rxy Sxy=2×3Sxy 参考 xとyの相関係数をrxy, x'y' の相関係数を rxy とすると, (*)は 2×3×7.65 7.65 ( 2×4.5)×(3×2.0) 4.5×2.0 EML ✓ 1+2+ 73 ←sy=|3|sy Sx'y' Sx'Sy となり, rxy=rxy が成り立つ。これは,本問の変換において,相関係数は変わらな いことを意味する。 Ald

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English Junior High

全部答え教えてください

それぞれの文を指示に従って書きかえなさい。 1 It's raining (文末に「昨夜から」 を加えて) 2 Darwin found this frog in 1834. (This frog から始めて同じ事実を伝える文に) 思考・判断・表現 [2点x2] ある音楽雑誌にユキが投稿した原稿です。 よく読んであとの問いに答えなさい。 [10点] I really like the song "Hana wa Saku". The title means "Flowers will bloom." The song was written after the Great East Japan Earthquake in 2011. Many people have been listening to it since then. It has also been sung in several languages around the world. The melody and lyrics are soft and sweet, but they really touch our hearts. I think the song is a powerful message from the victims to the survivors and people living now. It reminds us of our families and friends. One day, I had an argument with my best friend about a small issue. After that, we did not talk to each other for more than one week. I wanted to say "I'm sorry," but I couldn't. I felt down every day. Then I heard this song. [ ] The next morning, I went to her. When she looked back at me, I smiled. I said nothing, but she also smiled at me. We became friends again. If you have never heard this song, please listen to it. You will remember something very important in your life. 1 本文の内容に合うように、( )に適する一語を書きなさい。 (1) Hana wa Saku" has been sung for about ( ) years. (2) ) the melody and lyrics are soft and sweet, they really touch our hearts. 2 話の流れを考え、[ ]に入れるに適するものを①~④から選んで記号を書きなさい。 I realized that I needed her friendship. 2 I wanted to make new friends. 3 The song encouraged the people living in the Tohoku Area. *area: 4 I didn't know much about the earthquake.

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