Percentages of public school students in fourth and eighth grades who were above the proficiency level were given for 8 western states 4th Grade Proficiency 8th Grade Proficiency Arizona 15 21 California 11 18 Hawaii 16 16 Montana 22 37 New Mexico 13 13 Oregon 21 32 Utah 23 26 Wyoming 19 25 Construct a scatterplot and comment on any interesting characteristics Find the least squares equation. If Nevada had a 4th grade proficiency of 14%, what would you expect the 8th grade proficiency to be?
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.
Percentages of public school students in fourth and eighth grades who were above the proficiency level were given for 8 western states
|
|
4th Grade Proficiency |
8th Grade Proficiency |
|
Arizona |
15 |
21 |
|
California |
11 |
18 |
|
Hawaii |
16 |
16 |
|
Montana |
22 |
37 |
|
New Mexico |
13 |
13 |
|
Oregon |
21 |
32 |
|
Utah |
23 |
26 |
|
Wyoming |
19 |
25 |
Construct a scatterplot and comment on any interesting characteristics
Find the least squares equation.
If Nevada had a 4th grade proficiency of 14%, what would you expect the 8th grade proficiency to be?
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