### Example:

### Explaining Returns to the Fidelity Select Technology Fund

In our Multicollinearity Example we regressed returns to the Fidelity Select Technology Fund (FSPTX) on returns to the S&P 500 Growth Index (SGX), S&P 500 Value Index (SVX) and S&P 500 (SPX) itself, using monthly data from January 2012 through December 2016 for that return-based style analysis.

The equation to be estimated is

**Y _{t} = b _{0} + b _{1}x _{1t} + b _{2}x _{2t} + b _{3}x _{3t} + ∈ _{t}**

Where

Y_{t} = the monthly return to the FSPTX.

x _{1t} = the monthly return to the S&P 500 Growth Index.

x _{2t} = the monthly return to the S&P 500 Value Index.

x _{3t} = the monthly return to the S&P 500.

Our calculator shows the return to all independent variables as default values.

Create a Sums of Squares and Cross Products (SSCP) matrix within independent variables.

**Sums of Squares and Cross Products**

Series Name

**Source : S&P Dow Jones.**