17世纪中期开始,人类历史上三次早期资产阶级革命先后在英国、美国和法国爆发。这三次革命的共同影响是( )
Mr. Smith is telling two funny stories of his police work.Story A I remember catching a “thief” in a clothes shop once. It was strange. The man was hiding a yellow sweater inside his coat. I thought he had stolen it, so I caught him. We found later that his wife gave him the sweater for his birthday, but he hated it. He just wanted to return it to the shop for money, but he didn't want his wife to see him! We soon let him go. Story B Another day, a man called Bob went into a bank on Sixth Street. He wrote on the back of an envelope, “Give me the money! Or I'll kill you. ” and gave it to the bank clerk. She gave him $100,000 and the man ran away. Then we received a phone call from the bank clerk. She told us to go to the man's house in Candy Town and get him. We caught him as soon as he got out of the elevator. He couldn't believe that we found him so quickly. We told him that the front of the envelope he used had his name and address on it!
用如图所示的实验装置可以研究( )
x
1
2
3
4
y
12
28
42
56
(Ⅰ)在图中画出表中数据的散点图;
(Ⅱ)根据(Ⅰ)中的散点图拟合y与x的回归模型,并用相关系数加以说明;
(Ⅲ)建立y关于x的回归方程,预测第5年的销售量约为多少?.
附注:参考数据: ∑i=14(yi−y¯)2≈32.6 , 5≈2.24 , ∑i=14xiyi=418 .
参考公式:相关系数 r=∑i=1n(xi−x¯)(yi−y¯)∑i=1n(xi−x¯)2∑i=1n(yi−y¯)2 ,
回归方程 y^=a^+b^x 中斜率和截距的最小二乘法估计公式分别为: b^=∑i=1n(xi−x¯)(yi−y¯)∑i=1n(xi−x¯)2=∑i=1nxiyi−nx¯y¯∑i=1nxi2−nx¯2 , a^=y¯−b^x¯ .
过点A11,2作圆x2+y2+2x-4y-164=0的弦,其中弦长为整数的共有( )