8/17/2019 anum 3

1/9

1 2 3 4 5 6 7

x 6 7 11 15 17 21 23

y 29 21 29 14 21 15 7

x-x' -15.27273 -14.27273 -10.27273 -6.272727 -4.272727 -0.272727 1.727273

y-y' 14.54545 6.545455 14.54545 -0.454545 6.545455 0.545455 -7.454545

(x-x')2 233.2562 203.7107 105.5289 39.34711 18.2562 0.07438 2.983471

a.b -222.1488 -93.42149 -149.4215 2.85124 -27.96694 -0.14876 -12.87603

x 0 3 6 9 12 15 18

y 31.0589 28.71726 26.37562 24.03398 21.69234 19.3507 17.00906

8/17/2019 anum 3

2/9

8 9 10 11 mean

29 29 37 39 21.2727

7 13 0 3 14.4545

7.727273 7.727273 15.72727 17.72727

-7.454545 -1.454545 -14.45455 -11.45455 sum

59.71074 59.71074 247.3471 314.2562 1284.18

-57.60331 -11.23967 -227.3306 -203.0579 -1002.36

b2 -0.78055

b1 31.0589

21 24 27 30 33 36 39

14.66742 12.32578 9.984143 7.642503 5.30086 2.959224 0.617585

1

1

2

2

3

3

0 5 10 15 20 25 30 35 40 45

0

5

10

15

20

25

30

35

Row 16

8/17/2019 anum 3

3/9

0 5 10 15 20 25 30 35 40 45

f(x) = - 0.78054651x + 31.0588984851

Row 5

!nea" (Row 5)

8/17/2019 anum 3

4/9

1 2 3 4 5 6 7

x 6 7 11 15 17 21 23

y 29 21 29 14 21 15 7

xy 174 147 319 210 357 315 161

x2 36 49 121 225 289 441 529

s" 6.887373 21.1147 42.60321 28.63 10.30662 0.110608 37.28725

8/17/2019 anum 3

5/9

8 9 10 11 sum mean

29 29 37 39 234 21.27273 a1 -0.780547

7 13 0 3 159 14.45455 a0 31.0589

203 377 0 117 2380

841 841 1369 1521 6262

2.02507 20.94847 4.746636 5.675903 180.3358 sy#x 4.476306

8/17/2019 anum 3

6/9

x y 1#x 1#y 1#xy 1#x2 $o%x

1 0.7500 1.2000 1.3333 0.8333 1.1111 1.7778 -0.1249

2 2.0000 1.9500 0.5000 0.5128 0.2564 0.2500 0.3010

3 3.0000 2.0000 0.3333 0.5000 0.1667 0.1111 0.4771

4 4.0000 2.4000 0.2500 0.4167 0.1042 0.0625 0.6021

5 6.0000 2.4000 0.1667 0.4167 0.0694 0.0278 0.77826 8.0000 2.7000 0.1250 0.3704 0.0463 0.0156 0.9031

7 8.5000 2.6000 0.1176 0.3846 0.0452 0.0138 0.9294

sum 32.2500 15.2500 2.8260 3.4345 1.7993 2.2586 3.8659

mean 4.6071 2.1786 0.4037 0.4906 0.2570 0.3227 0.5523

b3#a3 0.36932 b2 0.311422 b1

1#a3 0.34154 $o%a2 0.153296 $na

a3 2.927913 a2 1.423297 a1

b3 1.081337

x y x y x

0 0 0 0 0

2 1.900417 2 1.766212 2

4 2.304836 4 2.191746 4

6 2.480813 6 2.486732 6

8 2.579279 8 2.719804 8

10 2.642202 10 2.91553 10

0 2 4 6 8 10 12

0

0.5

1

1.5

2

2.5

3

&o$umn &

8/17/2019 anum 3

7/9

$o%y $o%x.$o%y ($o%x)2 $ny x.$ny x2

0.0792 -0.0099 0.0156 0.1823 0.1367 0.5625

0.2900 0.0873 0.0906 0.6678 1.3357 4.0000

0.3010 0.1436 0.2276 0.6931 2.0794 9.0000

0.3802 0.2289 0.3625 0.8755 3.5019 16.0000

0.3802 0.2959 0.6055 0.8755 5.2528 36.00000.4314 0.3896 0.8156 0.9933 7.9460 64.0000

0.4150 0.3857 0.8638 0.9555 8.1218 72.2500

2.2770 1.5211 2.9813 5.2430 28.3744 201.8125

0.3253 0.2173 0.4259 0.7490 4.0535 28.8304

0.079259

0.383841

1.467911

y

1.467911

1.72006

2.015522

2.361736

2.76742

3.242791

0 2 4 6 8 10 12

0

0.5

1

1.5

2

2.5

3

3.5

&o$umn

0 2 4 6 8

0

0.5

1

1.5

2

2.5

3

3.5

0.0000

0.0000

0.5000

1.0000

1.5000

2.0000

2.5000

3.0000

f(

8/17/2019 anum 3

8/9

10 12

&o$umn

.0000 4.0000 6.0000 8.0000 10.0000

x) = 0.5832623278 $n(x) + 1.4368584793

&o$umn &

o%a"!*m! (&o$umn &)

8/17/2019 anum 3

9/9

x 1 2 3 5 7 8

y 3 6 19 99 291 444

! x! f(x!) f(x!-1,x!)

0 3 19 40 9 1 0

1 5 99 31 13 1

2 2 6 57 9

3 7 291 48

4 1 3