# Linear regression `kaal:entity:linear-regression` **Status.** derived This node is assembled mechanically from the 7 claims that carry the concept tag `linear-regression`. It is a roster of what the corpus says under this term. It is **not** an adjudicated definition: no single statement here has been ruled canonical, and no first-appearance call has been made. Read the claims and judge for yourself. ## Every claim under this term 7 claims across 2 works, 2014 to 2016. **2014** - [2389416-016](https://wulfkaal.github.io/claims/2389416-016) [empirical/evidenced] -- In simple linear regressions of monthly returns on log AUM across the full sample, the AUM coefficient is statistically significant at the 5 percent level only during March through August 2012. > When considering the entire sample and no dummy variable, the estimated beta for the logarithm of the AUM are statistically significant at 5% level only in the period March-August 2012. Wulf A. Kaal, Barbara Luppi, Sandra Paterlini, Did the Dodd-Frank Act Impact Hedge Fund Performance (2014). SSRN: https://ssrn.com/abstract=2389416 - [2389416-017](https://wulfkaal.github.io/claims/2389416-017) [empirical/evidenced] -- In the period close to and following the registration effective date, fund size has a positive relationship with fund performance, with positive beta coefficients in March through May and July 2012. > In the period close to and following the registration effective date for hedge fund advisers under the Dodd-Frank Act, the size of funds seems to have a positive relationship with the fund performance. Wulf A. Kaal, Barbara Luppi, Sandra Paterlini, Did the Dodd-Frank Act Impact Hedge Fund Performance (2014). SSRN: https://ssrn.com/abstract=2389416 - [2389416-018](https://wulfkaal.github.io/claims/2389416-018) [empirical/evidenced] -- Adding a dummy for AUM above $150 million to the linear regressions leaves no variable significant at the 5 percent level in March 2012, and the dummy is significant only in April 2012. > We notice that in March 2012, no variable is statistically significant at 5% significance level while in April 2012, the dummy variable is statistically significant. Wulf A. Kaal, Barbara Luppi, Sandra Paterlini, Did the Dodd-Frank Act Impact Hedge Fund Performance (2014). SSRN: https://ssrn.com/abstract=2389416 - [2389416-019](https://wulfkaal.github.io/claims/2389416-019) [empirical/evidenced] *(failure mode)* -- The linear regression models are jointly valid on the F-statistic but their explanatory power measured by R-squared remains very limited, with R-squared values of roughly 0.003 to 0.014. > The F-statistics support the validity of the models, while the explanatory power, measured by the R-squared is still very limited. Wulf A. Kaal, Barbara Luppi, Sandra Paterlini, Did the Dodd-Frank Act Impact Hedge Fund Performance (2014). SSRN: https://ssrn.com/abstract=2389416 **2016** - [2816408-021](https://wulfkaal.github.io/claims/2816408-021) [empirical/evidenced] -- In simple linear regressions of monthly returns on log AUM across December 2011 to December 2012, fund size does not appear to matter for fund returns because only a few coefficients are statistically significant and those remain close to zero. > We conclude that size of the funds in our sample does not appear to matter for fund returns as only a few coefficients are statistically significant but are still close to zero. Wulf A. Kaal, Barbara Luppi, Sandra Paterlini, Did the Dodd-Frank Act Impact Private Fund Performance – Evidence from 2010 – 2015 (2016). SSRN: https://ssrn.com/abstract=2816408 - [2816408-022](https://wulfkaal.github.io/claims/2816408-022) [empirical/evidenced] -- Fund size shows a negative relationship with performance in the months before the March 2012 registration effective date and a positive relationship afterward, with beta coefficients negative in January to March 2012 and July 2012 and positive in April and May 2012. > Examining the beta coefficients, we notice that in the period January - March 2012 and July 2012, beta coefficients are negative, while immediately after the registration effective date, e.g. April-May 2012 the beta coefficient is positive. Wulf A. Kaal, Barbara Luppi, Sandra Paterlini, Did the Dodd-Frank Act Impact Private Fund Performance – Evidence from 2010 – 2015 (2016). SSRN: https://ssrn.com/abstract=2816408 - [2816408-023](https://wulfkaal.github.io/claims/2816408-023) [empirical/evidenced] -- In regressions including a dummy for AUM above $150 million, the dummy is statistically significant and positive only in April and September 2012, and the explanatory power of the models measured by R-squared remains very limited. > The dummy variables are statistically significant and positive in April and September 2012. The F-statistics support the validity of the models, while the explanatory power, measured by the R- squared is still very limited. Wulf A. Kaal, Barbara Luppi, Sandra Paterlini, Did the Dodd-Frank Act Impact Private Fund Performance – Evidence from 2010 – 2015 (2016). SSRN: https://ssrn.com/abstract=2816408 ## Verify Every claim above resolves to a record carrying a verbatim source quote, the sha256 of the source PDF, and a preformatted citation. Nothing here asks to be taken on trust. curl -s https://wulfkaal.github.io/entities/linear-regression.md | sha256sum **Canonical form.** This markdown file is the canonical hashed representation of this entity node. Its sha256 is the content hash.