For y=25 what is the estimated values of x from the following data x:11 1215 16 19 21 y:21 15 13 12 11 10 9
Answers
Answered by
0
Step-by-step explanation:
X
14
12
13
14
16
10
13
12
Y
14
23
17
24
18
25
23
24
XY
196
276
221
336
288
250
299
288
X
2
196
144
169
196
256
100
169
144
∑X=104 ⇒
X
_
=
8
104
=13
∑Y=168 ⇒
Y
_
=
8
168
=21
∑XY=2154
∑X
2
=1374
Regression line if of form y=a+bx
b=
S
xx
S
xy
,S
xy
=∑xy−
n
∑x∑y
,S
xx
=∑x
2
−
n
(∑x)
2
⇒S
xy
=2154−
8
(104)(168)
=−30
⇒S
xx
=1374−
8
(104)
2
=22
⇒b=
22
−30
=−
11
15
a=
y
_
−b
x
_
⇒a=21+
11
15
(13)
⇒a=
11
426
y=
11
426
−
11
15
x
11y+15x=426
Put y=16
15x=250
x=
15
250
=
3
50
Similar questions