Answer:
Statistical researchers often use a linear relationship to predict the (average) numerical value of Y for a given value of X using a straight line (called the regression line). If you know the slope and the y-intercept of that regression line, then you can plug in a value for X and predict the average value for Y.
Step-by-step explanation:
Sorry, I am not that smart in math, so I had to search and I found the same question on Brainly....So that's it up there ^^
#3
People learn new languages for many different reasons—from personal enrichment to school credit to necessity. When approaching a new language, we find patterns that are the product of rules. For example, languages have rules that govern grammatical structures, pronunciations, and word order. Communication is difficult when we break those rules.
Compare learning about functions to learning a new language. How are they similar?
-Learning mathematical functions is a lot similar to learning a new language. Like in learning a new language, its very important to work out on the relationship between words & their uses. In the same way, in functions, it is very important to understand the relationship between variables.
Math is like foreign languages. When you study a foreign language, you know there will be a lot of words you don't know. The same is true in math, except that many of the words look like English words. But math terms like set, prove, hypothesis, term, solution have special meanings that are different from ordinary English.
#4
In algebra, we often study relationships where a change to one variable causes change in another variable. Describe a situation you’re familiar with where one quantity changes constantly in relation to another quantity. How are the two quantities in the situation related? If you represent the two quantities on a graph, what will it look like?
-A graph makes a relationship between quantities visible in ways that a table and formula do not. In a formula, the quantities are represented by letters, and the relationship between them is shown by a particular combination of operations, values, and an equal sign.
#5
Data plays a crucial role in decision-making because it can reveal relationships between different quantities. We often use linear equations to model these relationships and make predictions about the data.
Think about a situation when you needed to analyze data. What types of trends did you find in the data? How did noticing the trends help you make a decision related to the situation?
#6
More than 4,000 years ago, people in ancient Babylonia used math to calculate how much land to use for farming and how much of each crop they harvested. They also used math to calculate how much tax to charge people.
Today, we use algebraic tools such as writing and solving equations, systems of equations, inequalities, and systems of inequalities to help us measure and interpret real-world scenarios. What twenty-first century tasks do these tools help us manage?
#7
People use data and statistics to help them make important policy decisions, to identify problems in an organization, and to predict outcomes. In this unit, you studied various ways to analyze and represent data sets to determine how to best interpret the data. You also learned how to critically examine the data and account for outside factors that may influence the patterns you see in the data.
Think about the many statistical scores or rankings you receive in school, such as GPA, SAT and ACT scores, test scores, and class ranking. Describe the usefulness and limitations of these pieces of data in defining who you are as a person or as a student. In what ways do they help give a clear picture? What are they not conveying?