Pearson sought to explore whether the use of Mastering Physics, an online tutorial system used in higher education introductory physics courses, is related to students' results in exams and external standardized tests. This Research Report presents findings from two research studies we conducted with Penn State University, a school known for academic research in science: one correlational study with students enrolled in an introductory physics course, Phys 211; and one correlational study with students enrolled in Phys 212 after completing Phys 211 the previous semester. Our aim in using correlational study designs was to seek out possible relationships between the use of Mastering Physics and students' course and exam scores, to identify areas of focus for potential future research using more rigorous causal study designs. The findings appear alongside details of the research studies, including descriptions of the samples studied, methods of analysis, results, limitations and generalizability, and notes on possible future research. The report also summarizes the context surrounding the findings, including the research that informed the design and development of the product, the history of the product in the market, how educators use the product, and its intended outcomes. In the context of the study conducted with students enrolled Phys 211, Pearson found that: (1) A 10% increase in Mastering Physics homework grades is linked to a 4% increase in exam scores; and (2) A 10% increase in Mastering Physics homework grades is linked to a 2% increase in FCI gains. In the context of the study conducted with students enrolled in Phys 212 after completing Phys 211 the previous semester, Pearson found that: (1) A 10% increase in Mastering Physics homework grades is linked to a 4% increase in exam scores; (2) A 10% increase in Mastering Physics homework grades is linked to a 3% increase in BEMA post-test scores; (3) Requesting an additional 50 hints on homework assignments is associated with an increase in average exam scores of 2 percentage points; and (4) Requesting an additional 50 hints on homework assignments is associated with an increase in students' BEMA post-test scores of 3 percentage points. [Pearson has commissioned PricewaterhouseCoopers LLP ('PwC') to audit the efficacy statements set out in their Research Reports.]