I dare to say some very general upward trend is visible by a naked eye. The correlation coefficient is only 24%, but positive after all.
What: Investment or gross capital formation as a percent of GDP in current local currency, GDP per capita growth.
When: Investment in 2017, and GDP growth in 2018 (because there should be a lag before the investment kicks in and GDP starts to grow)
Where: Countries that have both statistics.
Source: IMF for Investment and WB for GDP