I am a 15 year old girl and 5'5 in height.
How can I increase my height in terms of food and exercise? Is there some specific diet plan or routine practice required that could accomplish this? I would like to be at least 5'7.
You're 15, you still have several years of development left. There's no magical panacea that will suddenly give you a few inches of height, platform shoes or heels not withstanding.
Height is determined by genetics, primarily. However, maintaining a healthy diet, low in processed foods, and keeping yourself fit and active will allow your body to grow to it's fullest potential.
My sister used to be short. She played basketball, volleyball and did a lot of cycling atleast twice a week. She is 5 inches taller than me and it's only been a year.
But, she is 19 now. I think you still have enough time to grow. Just stay active outdoors