1. Prepare a table then compute for the coefficient of correlation. 2. If a correlation exists, determine the regression equation that will predict students' gro basic calculus based on the students' pre-calculus grades. 3. Summarize your results in the following table. Variables Mean r Regression Equation Gen Math Statistics
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.
![REGRESSION ANALYSIS: PERFORMANCE TASK
Introduction
In the study of Tingganay (2003), students stay incompetent in mathematics for they lack
competency on the fundamental concepts comprised in the study of this discipline. In the 2012
Program for International Student Assessment (PISA), United States recorded low scores in mathematics
and ranked 36th out of the 65 participants worldwide. PISA is a system of international assessments that
measures 15-year-olds' capabilities in basic mathematics literacy, including science and reading
(Willms, 2003). According to Wilson (2000), Mathematics is not exactly known as academe's most
progressive discipline when it comes to curricular reform. Particularly, in calculus, students are still
taught to plug in numbers and chug through a formula, and some undergraduates never learn how
this course relates to other disciplines, much less the real world. In addition, Husch (2001), approximately
40% of the students enrolled in the first semester calculus class at The University of Tennessee in fall
semester, 1999, made grades of D, F, or W (Withdrawn). As cited by Husch (2001), repeatedly, professors
have reported similar situations with high failure rates. This entails that academic performance of
students in Mathematics is lower than what is desired.
Goal
You are tasked to determine the equation that will predict students' grades in Statistics based
on student's grades in General Mathematics. The following are reported grades of 15 randomly
selected students under the Science, Technology, Engineering and Mathematics Program enrolled in
the Academic Year 2017-2018.
General Mathematics (x):
88
88
87
81
87
80
92
89
88
81
83
87
89
89
88
Statistics (y):
90
89
86
80
86
81
90
88
92
80
84
86
88
90
87
1. Prepare a table then compute for the coefficient of correlation.
2. If a correlation exists, determine the regression equation that will predict students' grades in
basic calculus based on the students' pre-calculus grades.
3. Summarize your results in the following table.
Variables
Мean
r
Regression Equation
Gen Math
Statistics
4. Interpret the results in the table under Task Number 3.
5. Using the regression equation, substitute your gen math grade (x) to predict your statistics grade
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