A researcher explored the relationship between the percent of snow days during the month of January and the percent of students that receive an A on class finals at the same schools. The researcher collects information from 6 schools, shown in the table below. Use the graph below to plot the points and develop a linear relationship between the percent of January snow days and the percent of 'A' final exams. School Number % of Snow Days % of A Finals 1 5 25 2 7 45 3 10 50 4 12 65 5 20 70 6 25 86 Using the linear relationship graphed above, estimate the percent of 'A' finals if there are 2% snow days. Provide your answer below:
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
A researcher explored the relationship between the percent of snow days during the month of January and the percent of students that receive an A on class finals at the same schools. The researcher collects information from 6 schools, shown in the table below.
Use the graph below to plot the points and develop a linear relationship between the percent of January snow days and the percent of 'A' final exams.
|
School Number |
% of Snow Days |
% of A Finals |
|
1 |
5 |
25 |
|
2 |
7 |
45 |
|
3 |
10 |
50 |
|
4 |
12 |
65 |
|
5 |
20 |
70 |
|
6 |
25 |
86 |
Using the linear relationship graphed above, estimate the percent of 'A' finals if there are 2% snow days.
Provide your answer below:
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