Discover a new approach to trend analysis.
Check the power of mathematical statistics.
Trend channels has never been so accurate.
Visit our new 1,500-company website
Stock Price Trends
Stock price trends estimated using linear regression.
Paying users area
Try for free
Apple Inc. pages available for free this week:
The data is hidden behind: . Unhide it.
Get 1-month access to Apple Inc. for $19.99, or
get full access to the entire website for at least 3 months from $49.99.
This is a one-time payment. There is no automatic renewal.
We accept:
Key facts
- The primary trend is increasing.
- The growth rate of the primary trend is 11.18% per annum.
- AAPL price at the close of June 8, 2023 was $180.57 and was inside the primary trend channel.
- The secondary trend is increasing.
- The growth rate of the secondary trend is 101.88% per annum.
- AAPL price at the close of June 8, 2023 was inside the secondary trend channel.
Linear Regression Model
Model equation:
Yi = α + β × Xi + εi
Top border of trend channel:
Exp(Yi) = Exp(a + b × Xi + 2 × s)
Bottom border of trend channel:
Exp(Yi) = Exp(a + b × Xi – 2 × s)
where:
i - observation number
Yi - natural logarithm of AAPL 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:
End date:
a =
b =
s =
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × ) – 1
=
Trend channel spread:
Exp(4 × s) – 1
= Exp(4 × ) – 1
=
August 5, 2020 calculations
Top border of trend channeld:
Exp(Y)
= Exp(a + b × X + 2 × s)
= Exp(a + b × + 2 × s)
= Exp( + × + 2 × )
= Exp()
= $
Bottom border of trend channel:
Exp(Y)
= Exp(a + b × X – 2 × s)
= Exp(a + b × – 2 × s)
= Exp( + × – 2 × )
= Exp()
= $
June 8, 2023 calculations
Top border of trend channel:
Exp(Y)
= Exp(a + b × X + 2 × s)
= Exp(a + b × + 2 × s)
= Exp( + × + 2 × )
= Exp()
= $
Bottom border of trend channel:
Exp(Y)
= Exp(a + b × X – 2 × s)
= Exp(a + b × – 2 × s)
= Exp( + × – 2 × )
= Exp()
= $
Secondary Trend
Start date:
End date:
a =
b =
s =
Annual growth rate:
Exp(365 × b) – 1
= Exp(365 × ) – 1
=
Trend channel spread:
Exp(4 × s) – 1
= Exp(4 × ) – 1
=
December 16, 2022 calculations
Top border of trend channel:
Exp(Y)
= Exp(a + b × X + 2 × s)
= Exp(a + b × + 2 × s)
= Exp( + × + 2 × )
= Exp()
= $
Bottom border of trend channel:
Exp(Y)
= Exp(a + b × X – 2 × s)
= Exp(a + b × – 2 × s)
= Exp( + × – 2 × )
= Exp()
= $
June 8, 2023 calculations
Top border of trend channel:
Exp(Y)
= Exp(a + b × X + 2 × s)
= Exp(a + b × + 2 × s)
= Exp( + × + 2 × )
= Exp()
= $
Bottom border of trend channel:
Exp(Y)
= Exp(a + b × X – 2 × s)
= Exp(a + b × – 2 × s)
= Exp( + × – 2 × )
= Exp()
= $