The phrase "analyzed the relationships between" is correct and usable in written English.
You can use it when discussing research or studies that examine how different entities or variables interact with one another.
Example: "In her thesis, she analyzed the relationships between social media usage and mental health outcomes among teenagers."
Alternatives: "examined the connections between" or "studied the interactions among".
We then analyzed the relationships between roads, land-cover types, and land-cover trajectories.
We analyzed the relationships between an area consisting of gullies and selected environmental and socio-economic indices.
Through a structured quantitative survey approach, we analyzed the relationships between consumers in China, Germany, Spain, and the United States and more than 200 brands in 11 industries, including hair care, airlines, cars, and media.
We then analyzed the relationships between AOD and four other cloud parameters, namely water vapour (WV), cloud fraction (CF), cloud top temperature (CTT) and cloud top pressure (CTP).
The study, by the Swiss Federal Institute of Technology in Zurich, analyzed the relationships between 43,000 transnational corporations and concluded that 147 companies hold a disproportionate sway over the global economy.
We analyzed the relationships between body mass index (BMI), waist circumference (WC), waist-to-hip ratio, and conicity index and 24-hour urinary albumin excretion rate (UAER) and creatinine clearance.
Previous studies have analyzed the relationships between high-rise/high-density environment and microclimates, by either a temporal study or a spatial approach, while a strategy for investigating the spatiotemporal relationship has yet to be developed.
The researchers -- who also included Anna Beavis '07 and assistant professor Anthony Ong -- analyzed the relationships between obesity, childhood poverty and cumulative risk exposure in 326 children in rural upstate New York; the youngsters and their mothers were interviewed when the youths were 9, 13 and 17 years old.
The research analyzed the relationships between multispectral (MS) and pansharpened (PAN) spectral indices and soil total nitrogen (TN), developed the soil TN prediction models using Random Forest methods, and explored the effects of different PAN spectral indices on soil TN prediction models.
To support this model, we have measured the residual lifetimes of the nodes in a popular IPTV system named PPLive [PPLive. http://www.pplive.com], and have formally analyzed the relationships between the distribution of the nodes' lifetimes, ages and their residual lifetimes under the shifted Pareto distribution model.
When we analyzed the relationships between raw pitch angle and vertical speed per second, we found a linear regression from each pup.
