Stock Price Trends
Stock price trends estimated using linear regression.
Summary
Key facts
- The primary trend is increasing.
- The growth rate of the primary trend is 173.47% per annum.
- LIN price at the close of October 20, 2026 was $501.89 and was inside the primary price channel.
- The secondary trend is increasing.
- The growth rate of the secondary trend is 195.17% per annum.
- LIN price at the close of October 20, 2026 was inside the secondary price channel.
Linear Regression Model
Model equation:
Yi = α + β × Xi + εi
Top border of price channel:
Exp(Yi) = Exp(a + b × Xi + 2 × s)
Bottom border of price channel:
Exp(Yi) = Exp(a + b × Xi – 2 × s)
where:
i - observation number
Yi - natural logarithm of LIN price
Xi - time index, 1 day interval
σ - standard deviation of εi
a - estimator of α
b - estimator of β
s - estimator of σ
Exp() - calculates the exponent of e
Primary Trend
Start date: September 17, 2026
End date: October 20, 2026
a = 4.9997
b = 0.0028
s = 0.0064
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0028) – 1
= 173.47%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0064) – 1
= 2.60%
September 17, 2026 calculations
Top border of price channel:
Exp(Y282)
= Exp(a + b × X282 + 2 × s)
= Exp(a + b × 409 + 2 × s)
= Exp(4.9997 + 0.0028 × 409 + 2 × 0.0064)
= Exp(6.1398)
= $463.97
Bottom border of price channel:
Exp(Y282)
= Exp(a + b × X282 – 2 × s)
= Exp(a + b × 409 – 2 × s)
= Exp(4.9997 + 0.0028 × 409 – 2 × 0.0064)
= Exp(6.1141)
= $452.20
October 20, 2026 calculations
Top border of price channel:
Exp(Y305)
= Exp(a + b × X305 + 2 × s)
= Exp(a + b × 442 + 2 × s)
= Exp(4.9997 + 0.0028 × 442 + 2 × 0.0064)
= Exp(6.2308)
= $508.15
Bottom border of price channel:
Exp(Y305)
= Exp(a + b × X305 – 2 × s)
= Exp(a + b × 442 – 2 × s)
= Exp(4.9997 + 0.0028 × 442 – 2 × 0.0064)
= Exp(6.2051)
= $495.25
Description
- The primary trend is increasing.
- The growth rate of the primary trend is 173.47% per annum.
- LIN price at the close of October 20, 2026 was $501.89 and was inside the primary price channel.
Secondary Trend
Start date: October 1, 2026
End date: October 20, 2026
a = 4.9087
b = 0.0030
s = 0.0073
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × 0.0030) – 1
= 195.17%
Price channel spread:
Exp(4 × s) – 1
= Exp(4 × 0.0073) – 1
= 2.95%
October 1, 2026 calculations
Top border of price channel:
Exp(Y292)
= Exp(a + b × X292 + 2 × s)
= Exp(a + b × 423 + 2 × s)
= Exp(4.9087 + 0.0030 × 423 + 2 × 0.0073)
= Exp(6.1777)
= $481.86
Bottom border of price channel:
Exp(Y292)
= Exp(a + b × X292 – 2 × s)
= Exp(a + b × 423 – 2 × s)
= Exp(4.9087 + 0.0030 × 423 – 2 × 0.0073)
= Exp(6.1486)
= $468.05
October 20, 2026 calculations
Top border of price channel:
Exp(Y305)
= Exp(a + b × X305 + 2 × s)
= Exp(a + b × 442 + 2 × s)
= Exp(4.9087 + 0.0030 × 442 + 2 × 0.0073)
= Exp(6.2340)
= $509.79
Bottom border of price channel:
Exp(Y305)
= Exp(a + b × X305 – 2 × s)
= Exp(a + b × 442 – 2 × s)
= Exp(4.9087 + 0.0030 × 442 – 2 × 0.0073)
= Exp(6.2049)
= $495.18
Description
- The secondary trend is increasing.
- The growth rate of the secondary trend is 195.17% per annum.
- LIN price at the close of October 20, 2026 was inside the secondary price channel.