Stock Price Trends

CSX Corporation (CSX)

CSX Corporation is an American holding company focused on rail transportation and real estate in North America, among other industries. Based in Richmond, Virginia, USA after the merger, in 2003 the CSX Corporation headquarters moved to Jacksonville, Florida.

Stock Price Trends

Stock price trends estimated using linear regression.

Key facts

  • The primary trend is increasing.
  • The growth rate of the primary trend is 127.34% per annum.
  • CSX price at the close of August 15, 2025 was $36.32 and was inside the primary price channel.
  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 94.34% per annum.
  • CSX price at the close of August 15, 2025 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 CSX 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: April 3, 2025
End date: August 15, 2025

a = -0.5006

b = 0.0023

s = 0.0204

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0023) – 1
= 127.34%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0204) – 1
= 8.52%

April 3, 2025 calculations

Top border of price channel:

Exp(Y1,162)
= Exp(a + b × X1,162 + 2 × s)
= Exp(a + b × 1,689 + 2 × s)
= Exp(-0.5006 + 0.0023 × 1,689 + 2 × 0.0204)
= Exp(3.3406)
= $28.24

Bottom border of price channel:

Exp(Y1,162)
= Exp(a + b × X1,162 – 2 × s)
= Exp(a + b × 1,689 – 2 × s)
= Exp(-0.5006 + 0.0023 × 1,689 – 2 × 0.0204)
= Exp(3.2589)
= $26.02

August 15, 2025 calculations

Top border of price channel:

Exp(Y1,254)
= Exp(a + b × X1,254 + 2 × s)
= Exp(a + b × 1,823 + 2 × s)
= Exp(-0.5006 + 0.0023 × 1,823 + 2 × 0.0204)
= Exp(3.6421)
= $38.17

Bottom border of price channel:

Exp(Y1,254)
= Exp(a + b × X1,254 – 2 × s)
= Exp(a + b × 1,823 – 2 × s)
= Exp(-0.5006 + 0.0023 × 1,823 – 2 × 0.0204)
= Exp(3.5604)
= $35.18

Description

  • The primary trend is increasing.
  • The growth rate of the primary trend is 127.34% per annum.
  • CSX price at the close of August 15, 2025 was $36.32 and was inside the primary price channel.

Secondary Trend

Start date: May 12, 2025
End date: August 15, 2025

a = 0.2685

b = 0.0018

s = 0.0117

Annual growth rate:

Exp(365 × b) – 1
= Exp(365 × 0.0018) – 1
= 94.34%

Price channel spread:

Exp(4 × s) – 1
= Exp(4 × 0.0117) – 1
= 4.81%

May 12, 2025 calculations

Top border of price channel:

Exp(Y1,188)
= Exp(a + b × X1,188 + 2 × s)
= Exp(a + b × 1,728 + 2 × s)
= Exp(0.2685 + 0.0018 × 1,728 + 2 × 0.0117)
= Exp(3.4376)
= $31.11

Bottom border of price channel:

Exp(Y1,188)
= Exp(a + b × X1,188 – 2 × s)
= Exp(a + b × 1,728 – 2 × s)
= Exp(0.2685 + 0.0018 × 1,728 – 2 × 0.0117)
= Exp(3.3907)
= $29.69

August 15, 2025 calculations

Top border of price channel:

Exp(Y1,254)
= Exp(a + b × X1,254 + 2 × s)
= Exp(a + b × 1,823 + 2 × s)
= Exp(0.2685 + 0.0018 × 1,823 + 2 × 0.0117)
= Exp(3.6105)
= $36.99

Bottom border of price channel:

Exp(Y1,254)
= Exp(a + b × X1,254 – 2 × s)
= Exp(a + b × 1,823 – 2 × s)
= Exp(0.2685 + 0.0018 × 1,823 – 2 × 0.0117)
= Exp(3.5636)
= $35.29

Description

  • The secondary trend is increasing.
  • The growth rate of the secondary trend is 94.34% per annum.
  • CSX price at the close of August 15, 2025 was inside the secondary price channel.