A professor has found that scores on the midterm exam in her classes predict scores on the final exam. The regression constant in the linear prediction rule for predicting final exam scores from midterm exam scores is 36 and the regression coefficient is 0.5. Complete parts (a) through (k) below. (a) Indicate the predictor variable. The predictor variable is the midterm exam score. (b) Indicate the criterion variable. The criterion variable is
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.
![### Understanding Predictive Modeling in Education
A professor has discovered that midterm exam scores in her classes can predict final exam scores. This finding employs a regression model as follows:
1. The regression constant (intercept) in the linear prediction rule for forecasting final exam scores from midterm exam scores is 36.
2. The regression coefficient (slope) is 0.5.
Using this information, we will complete parts (a) through (k) below:
#### (a) Indicate the predictor variable.
- The predictor variable is: **the midterm exam score.**
#### (b) Indicate the criterion variable.
- The criterion variable is: [Dropdown Box Not Displayed in the Image].
- Click to select your answer(s) and then click Check Answer.
> **Note:** A diagram or graph usually accompanies regression analysis to illustrate the linear relationship between the predictor and the criterion variables. However, there is no graphical content provided in this image.
This exercise aims to help students understand the practical application of linear regression in educational settings, demonstrating how one key academic measure can effectively predict another. This kind of analysis can be beneficial not only in academic assessments but also in broader educational research and student performance analytics.
---
In this breakdown, the details are clearly structured to align with educational content. Definitions, steps, and goals are highlighted for educational clarity, which is essential for a learning environment.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feb2abd3b-9fdf-4203-b0f8-adff902f8136%2F8b9a45cb-1595-4644-993c-440f017fa4eb%2F2fzmqq_reoriented.jpeg&w=3840&q=75)
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
