13.下列求导数运算错误的是( )
A. | (3x)′=3xln3 | B. | (x2lnx)′=2xlnx+x | ||
C. | ($\frac{cosx}{x}$)′=$\frac{xsinx-cosx}{{x}^{2}}$ | D. | (x+$\frac{1}{x}$+$\sqrt{x}$)′=1-$\frac{1}{{x}^{2}}$+$\frac{1}{2\sqrt{x}}$ |
12.函数y=$\frac{1}{\sqrt{x}}$在点x=4处的导数是( )
A. | $\frac{1}{16}$ | B. | -$\frac{1}{16}$ | C. | $\frac{1}{8}$ | D. | -$\frac{1}{8}$ |
8.某个服装店经营某种服装,连续七天统计每天获利y(元)与该天销售服装件数x之间的一组数据如下:
已知$\sum_{i=1}^{7}{x}_{i}^{2}$=280,$\sum_{i=1}^{7}$y${\;}_{i}^{2}$=45209,$\sum_{i=1}^{7}$xiyi=3478.
b=$\frac{\sum_{i=1}^{n}{x}_{i}{y}_{i}-n\overline{xy}}{\sum_{i=1}^{n}{x}_{i}^{2}-n{\overline{x}}^{2}}$=$\frac{\sum_{i=1}^{n}({x}_{i}-\overline{x})({y}_{i}-\overline{y})}{\sum_{i=1}^{n}({x}_{i}-\overline{x})^{2}}$,a=$\overline{y}-b\overline{x}$.
(Ⅰ)求$\overline{x},\overline{y}$;
(Ⅱ)求每天获利y与该天销售服装件数x之间的回归线方程;
(Ⅲ)若某天预计销售这种服装12件,估计这一天可获利多少元(精确到元)?
0 250432 250440 250446 250450 250456 250458 250462 250468 250470 250476 250482 250486 250488 250492 250498 250500 250506 250510 250512 250516 250518 250522 250524 250526 250527 250528 250530 250531 250532 250534 250536 250540 250542 250546 250548 250552 250558 250560 250566 250570 250572 250576 250582 250588 250590 250596 250600 250602 250608 250612 250618 250626 266669
x | 3 | 4 | 5 | 6 | 7 | 8 | 9 |
y | 66 | 69 | 73 | 81 | 89 | 90 | 91 |
b=$\frac{\sum_{i=1}^{n}{x}_{i}{y}_{i}-n\overline{xy}}{\sum_{i=1}^{n}{x}_{i}^{2}-n{\overline{x}}^{2}}$=$\frac{\sum_{i=1}^{n}({x}_{i}-\overline{x})({y}_{i}-\overline{y})}{\sum_{i=1}^{n}({x}_{i}-\overline{x})^{2}}$,a=$\overline{y}-b\overline{x}$.
(Ⅰ)求$\overline{x},\overline{y}$;
(Ⅱ)求每天获利y与该天销售服装件数x之间的回归线方程;
(Ⅲ)若某天预计销售这种服装12件,估计这一天可获利多少元(精确到元)?