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MS LIN REG IND/SLOPE FORMULA? - MS LIN REG IND/SLOPE FORMULA?
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essemkay  
#1 Posted : Friday, July 10, 2015 4:07:05 PM(UTC)
essemkay

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Hi all

What is the Metastock 10.1 Formula indicator for 

Linear Regression Indicator &
Linear Regression Slope 

The formula not provide in metastock.

Thanx in advance
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mstt  
#2 Posted : Friday, July 10, 2015 8:22:37 PM(UTC)
mstt

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Hi essemkay

These two formulas are derived from formulas created by Joe Sharp as shown in the January 2000 issue of TASC magazine. Get hold of the article and you'll see that his Modified Moving Average gives the same result as Linear Regression. The second formula generates a signal that's exactly the same as Linear Regression Slope.

There's another version of LR and LRS discrete code that's been around for a long time that makes extensive use of the Cum() function. That formula, however, loses accuracy when used on large amounts of data and eventually becomes quite useless.

Roy


{Modified Moving Average}
{Linear Regression}
{TASC January 2000 by Joe Sharp}
n:=20;
tn:=Mov(C,n,S);
s1:=((n-1)/2)*C + ((n-3)/2)*Ref(C,-1) + ((n-5)/2)*Ref(C,-2)
+ ((n-7)/2)*Ref(C,-3) + ((n-9)/2)*Ref(C,-4)
+ ((n-11)/2)*Ref(C,-5) + ((n-13)/2)*Ref(C,-6)
+ ((n-15)/2)*Ref(C,-7) + ((n-17)/2)*Ref(C,-8)
+ ((n-19)/2)*Ref(C,-9) + ((n-21)/2)*Ref(C,-10)
+ ((n-23)/2)*Ref(C,-11) + ((n-25)/2)*Ref(C,-12)
+ ((n-27)/2)*Ref(C,-13) + ((n-29)/2)*Ref(C,-14)
+ ((n-31)/2)*Ref(C,-15) + ((n-33)/2)*Ref(C,-16)
+ ((n-35)/2)*Ref(C,-17) + ((n-37)/2)*Ref(C,-18)
+ ((n-39)/2)*Ref(C,-19);
tn+(6*s1)/((n+1)*n);

{Modified Moving Average Slope}
{Linear Regression Slope}
{MMA - TASC Jan 2000 by Joe Sharp}
n:=20;
tn:=Mov(C,n,S);
s1:=((n-1)/2)*C +
((n-3)/2)*Ref(C,-1) + ((n-5)/2)*Ref(C,-2)
+ ((n-7)/2)*Ref(C,-3) + ((n-9)/2)*Ref(C,-4)
+ ((n-11)/2)*Ref(C,-5) + ((n-13)/2)*Ref(C,-6)
+ ((n-15)/2)*Ref(C,-7) + ((n-17)/2)*Ref(C,-8)
+ ((n-19)/2)*Ref(C,-9) + ((n-21)/2)*Ref(C,-10)
+ ((n-23)/2)*Ref(C,-11) + ((n-25)/2)*Ref(C,-12)
+ ((n-27)/2)*Ref(C,-13) + ((n-29)/2)*Ref(C,-14)
+ ((n-31)/2)*Ref(C,-15) + ((n-33)/2)*Ref(C,-16)
+ ((n-35)/2)*Ref(C,-17) + ((n-37)/2)*Ref(C,-18)
+ ((n-39)/2)*Ref(C,-19);
LR:=tn+6*S1/(n+1)/n;
2*(LR-tn)/(n-1);
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thanks 1 user thanked mstt for this useful post.
essemkay on 7/11/2015(UTC)
mstt  
#3 Posted : Saturday, July 11, 2015 11:50:09 PM(UTC)
mstt

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Here's another version that allows the user to set the number of Periods parameter between 2 and 40. MetaStock's restriction of 40 numeric values is somewhat of a pain, but a rather clumsy way around this as used here is to add or subtract numbers smaller than 40 to create values greater than 40.

Roy

{Modified Moving Average}
{Linear Regression}
{TASC January 2000 article by Joe Sharp}
{MetaStock code by Roy Larsen, 11/7/2115}

N:=Input("MMA Periods",2,40,20);
M:=Mov(C,N,S);
X:=((N-1)/2)*C
+(N>1)*((N-3)/2)*Ref(C,-1)
+(N>2)*((N-5)/2)*Ref(C,-2)
+(N>3)*((N-7)/2)*Ref(C,-3)
+(N>4)*((N-9)/2)*Ref(C,-4)
+(N>5)*((N-11)/2)*Ref(C,-5)
+(N>6)*((N-13)/2)*Ref(C,-6)
+(N>7)*((N-15)/2)*Ref(C,-7)
+(N>8)*((N-17)/2)*Ref(C,-8)
+(N>9)*((N-19)/2)*Ref(C,-9)
+(N>10)*((N-21)/2)*Ref(C,-10)
+(N>11)*((N-23)/2)*Ref(C,-11)
+(N>12)*((N-25)/2)*Ref(C,-12)
+(N>13)*((N-27)/2)*Ref(C,-13)
+(N>14)*((N-29)/2)*Ref(C,-14)
+(N>15)*((N-31)/2)*Ref(C,-15)
+(N>16)*((N-33)/2)*Ref(C,-16)
+(N>17)*((N-35)/2)*Ref(C,-17)
+(N>18)*((N-37)/2)*Ref(C,-18)
+(N>19)*((N-37-2)/2)*Ref(C,-19)
+(N>20)*((N-37-4)/2)*Ref(C,-20)
+(N>21)*((N-37-6)/2)*Ref(C,-21)
+(N>22)*((N-37-8)/2)*Ref(C,-22)
+(N>23)*((N-37-10)/2)*Ref(C,-23)
+(N>24)*((N-37-12)/2)*Ref(C,-24)
+(N>25)*((N-37-14)/2)*Ref(C,-25)
+(N>26)*((N-37-16)/2)*Ref(C,-26)
+(N>27)*((N-37-18)/2)*Ref(C,-27)
+(N>28)*((N-37-20)/2)*Ref(C,-28)
+(N>29)*((N-37-22)/2)*Ref(C,-29)
+(N>30)*((N-37-24)/2)*Ref(C,-30)
+(N>31)*((N-37-26)/2)*Ref(C,-31)
+(N>32)*((N-37-28)/2)*Ref(C,-32)
+(N>33)*((N-37-30)/2)*Ref(C,-33)
+(N>34)*((N-37-32)/2)*Ref(C,-34)
+(N>35)*((N-37-34)/2)*Ref(C,-35)
+(N>36)*((N-37-36)/2)*Ref(C,-36)
+(N>37)*((N-37-37-1)/2)*Ref(C,-37)
+(N>(37+1))*((N-37-37-3)/2)*Ref(C,-37-1)
+(N>(37+2))*((N-37-37-5)/2)*Ref(C,-37-2);
M+(6*X)/((N+1)*N);
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mstt  
#4 Posted : Sunday, July 12, 2015 2:19:35 AM(UTC)
mstt

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And here's the equivalent of Linear Regression Slope.

Roy

{Modified Moving Average Slope}
{Linear Regression Slope}
{TASC January 2000 article by Joe Sharp}
{MetaStock code by Roy Larsen, 11/7/2115}

N:=Input("MMA Periods",2,40,20);
M:=Mov(C,N,S);
X:=((N-1)/2)*C
+(N>1)*((N-3)/2)*Ref(C,-1)
+(N>2)*((N-5)/2)*Ref(C,-2)
+(N>3)*((N-7)/2)*Ref(C,-3)
+(N>4)*((N-9)/2)*Ref(C,-4)
+(N>5)*((N-11)/2)*Ref(C,-5)
+(N>6)*((N-13)/2)*Ref(C,-6)
+(N>7)*((N-15)/2)*Ref(C,-7)
+(N>8)*((N-17)/2)*Ref(C,-8)
+(N>9)*((N-19)/2)*Ref(C,-9)
+(N>10)*((N-21)/2)*Ref(C,-10)
+(N>11)*((N-23)/2)*Ref(C,-11)
+(N>12)*((N-25)/2)*Ref(C,-12)
+(N>13)*((N-27)/2)*Ref(C,-13)
+(N>14)*((N-29)/2)*Ref(C,-14)
+(N>15)*((N-31)/2)*Ref(C,-15)
+(N>16)*((N-33)/2)*Ref(C,-16)
+(N>17)*((N-35)/2)*Ref(C,-17)
+(N>18)*((N-37)/2)*Ref(C,-18)
+(N>19)*((N-37-2)/2)*Ref(C,-19)
+(N>20)*((N-37-4)/2)*Ref(C,-20)
+(N>21)*((N-37-6)/2)*Ref(C,-21)
+(N>22)*((N-37-8)/2)*Ref(C,-22)
+(N>23)*((N-37-10)/2)*Ref(C,-23)
+(N>24)*((N-37-12)/2)*Ref(C,-24)
+(N>25)*((N-37-14)/2)*Ref(C,-25)
+(N>26)*((N-37-16)/2)*Ref(C,-26)
+(N>27)*((N-37-18)/2)*Ref(C,-27)
+(N>28)*((N-37-20)/2)*Ref(C,-28)
+(N>29)*((N-37-22)/2)*Ref(C,-29)
+(N>30)*((N-37-24)/2)*Ref(C,-30)
+(N>31)*((N-37-26)/2)*Ref(C,-31)
+(N>32)*((N-37-28)/2)*Ref(C,-32)
+(N>33)*((N-37-30)/2)*Ref(C,-33)
+(N>34)*((N-37-32)/2)*Ref(C,-34)
+(N>35)*((N-37-34)/2)*Ref(C,-35)
+(N>36)*((N-37-36)/2)*Ref(C,-36)
+(N>37)*((N-37-37-1)/2)*Ref(C,-37)
+(N>(37+1))*((N-37-37-3)/2)*Ref(C,-37-1)
+(N>(37+2))*((N-37-37-5)/2)*Ref(C,-37-2);
LR:=M+(6*X)/((N+1)*N);
2*(LR-M)/(N-1);
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