5.已知在△ABC中,A=30°,B=45°,a=2$\sqrt{2}$,则b=( )
| A. | 4 | B. | $4\sqrt{2}$ | C. | 2 | D. | $\sqrt{2}$ |
3.某人摆一个摊位卖小商品,一周内出摊天数x与盈利y(百元),之间的一组数据关系见表:
已知$\sum_{i=1}^5{x_i^2}$=90,$\sum_{i=1}^5{{x_i}{y_i}}$=112.3,
(Ⅰ)计算$\overline x$,$\overline y$,并求出线性回归方程;
(Ⅱ)在第(Ⅰ)问条件下,估计该摊主每周7天要是天天出摊,盈利为多少?
(参考公式:b=$\frac{\sum_{i=1}^{n}({x}_{i}-\overline{x})({y}_{i}-\overline{y})}{\sum_{i=1}^{n}({x}_{i}-\overline{x})^{2}}$=$\frac{\sum_{i=1}^{n}{x}_{i}{y}_{i}-n\overline{x}\overline{y}}{\sum_{i=1}^{n}{{x}_{i}}^{2}-n{\overline{x}}^{2}}$,a=$\overline{y}$-b$\overline{x}$.)
0 230874 230882 230888 230892 230898 230900 230904 230910 230912 230918 230924 230928 230930 230934 230940 230942 230948 230952 230954 230958 230960 230964 230966 230968 230969 230970 230972 230973 230974 230976 230978 230982 230984 230988 230990 230994 231000 231002 231008 231012 231014 231018 231024 231030 231032 231038 231042 231044 231050 231054 231060 231068 266669
| x | 2 | 3 | 4 | 5 | 6 |
| y | 2.2 | 3.8 | 5.5 | 6.5 | 7.0 |
(Ⅰ)计算$\overline x$,$\overline y$,并求出线性回归方程;
(Ⅱ)在第(Ⅰ)问条件下,估计该摊主每周7天要是天天出摊,盈利为多少?
(参考公式:b=$\frac{\sum_{i=1}^{n}({x}_{i}-\overline{x})({y}_{i}-\overline{y})}{\sum_{i=1}^{n}({x}_{i}-\overline{x})^{2}}$=$\frac{\sum_{i=1}^{n}{x}_{i}{y}_{i}-n\overline{x}\overline{y}}{\sum_{i=1}^{n}{{x}_{i}}^{2}-n{\overline{x}}^{2}}$,a=$\overline{y}$-b$\overline{x}$.)