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Mathematics Undergraduate

統計学検定3級の問題です なんでこの公式?で相関係数が求められるのですか? sxy/sx*syの公式をどう変形したら3枚目の写真の形になるのでしょうか 教えてください!

問13 2つの変数x, y について次のデータが得られた I y 〔1〕xとyの相関係数はいくらか。次の①~⑤のうちから最も適切なものを一つ 選べ 19 1709 ① 0.85 ② 0.34 ③ 0.11 001122 361 Lpatos A [2]xおよびy の出現頻度に関して,次の I ~ⅢI の記述を考えた。 相関係数 I.xの値は0,1,2が同じ頻度で出現した。 Ⅱ.yの値は1,2,34,5,6の2倍の頻度で出現した。 ⅢI.xが1であったとき、yの値は1のみ出現した。 相、平 4 25- IとⅡIとⅢIはすべて正しい x分散・分散 この記述 I~Ⅲに関して、次の①~⑤のうちから最も適切なものを一つ選べ。 2001-10 Ⅰ のみ正しい人 ② ⅡIのみ正しい ③ ⅢIのみ正しい ④ ⅠとⅡIのみ正しい 分音 6 4 -0.24 問14 ある中学校で数学と理科の試験を行ったところ、 数学と理科の得点の相関係数 は 0.24 であった。 各生徒の得点をそれぞれ2倍したとき, 数学と理科の得点の相関 係数は0.24の何倍になるか。 次の①~⑤のうちから適切なものを一つ選べ。 BOLSO 21 ①1/√2 ② 2 ③ 1 -0.79 直一平均12 PRELA 2 46 4 問15 次の散布 ある。 なお 理科の得点(点) 100 90 80g 70 60 50 【名】統計検定3級・4級 【本書の感想】 本書をどこでお知りにな 後を考えている

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TOEIC・English Undergraduate

これの和訳して貰えませんか?

5 Reading Passage 10 15 20 Yuna Kim is one of the world's best figure skaters. At the 2010 Winter Olympics in Vancouver, she set three world records. In fact, one of those world records broke a record she set in 2009. program and a At the Olympics, both male and female skaters perform a short seven program. In the short program, skaters have less than three minutes to perform required jumps, spins, or other moves. While doing these seven things, the skaters also have to show judges how well they can put these elements together into a kind of dance performance on the ice. The long program is similar to the short program except that skaters perform for a longer time and have more required moves. long Before the 2010 Winter Olympics began, many people thought Yuna Kim was likely to win a gold medal. Certainly, there were other women skaters who had the skill to win gold at the Olympics. However, Ms. Kim had an advantage. She had already set a number of world records. In 2007, she set the record for the highest score in a short program with 71.95 points in Japan. The same year she also set the world record for the highest score in a long program with 133.7 points in Russia. Then, in 2009 she beat her own record in the short program by scoring 76.12 in the United States. At that competition, she also became the first woman to score over 200 points with her short and long programs - her combined score was 207.71. The next year at the Winter Olympics in Vancouver, she broke her records again. In the short program, Ms. Kim scored 78.5, a new world record. In the long program, she scored 150.06, another world record. This gave her a combined total of 228.56 points, a third world record! Needless to say, her score was enough to win gold.

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