Togetherness Are good grades in high school associatedwith family togetherness? A random sample of 142 highschool students was asked how many meals per weektheir families ate together. Their responses produced a mean of 3.78 meals per week, with a standard devia-tion of 2.2. Researchers then matched these responses against the students’ grade point averages (GPAs). The scatterplot appeared to be reasonably linear, so they cre-ated a line of regression. No apparent pattern emerged in the residuals plot. The equation of the line wasGPA = 2.73 + 0.11 Meals.a) Interpret the y-intercept in this context.b) Interpret the slope in this context.c) What was the mean GPA for these students?d) If a student in this study had a negative residual, whatdid that mean?e) Upon hearing of this study, a counselor recommendedthat parents who want to improve the grades theirchildren get should get the family to eat together moreoften. Do you agree with this interpretation? Explain.
Togetherness Are good grades in high school associatedwith family togetherness? A random sample of 142 highschool students was asked how many meals per weektheir families ate together. Their responses produced a mean of 3.78 meals per week, with a standard devia-tion of 2.2. Researchers then matched these responses against the students’ grade point averages (GPAs). The scatterplot appeared to be reasonably linear, so they cre-ated a line of regression. No apparent pattern emerged in the residuals plot. The equation of the line wasGPA = 2.73 + 0.11 Meals.a) Interpret the y-intercept in this context.b) Interpret the slope in this context.c) What was the mean GPA for these students?d) If a student in this study had a negative residual, whatdid that mean?e) Upon hearing of this study, a counselor recommendedthat parents who want to improve the grades theirchildren get should get the family to eat together moreoften. Do you agree with this interpretation? Explain.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Concept explainers
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.
Question
Togetherness Are good grades in high school associated
with family togetherness? A random sample of 142 high
school students was asked how many meals per week
their families ate together. Their responses produced a
with family togetherness? A random sample of 142 high
school students was asked how many meals per week
their families ate together. Their responses produced a
mean of 3.78 meals per week, with a standard devia-
tion of 2.2. Researchers then matched these responses
tion of 2.2. Researchers then matched these responses
against the students’ grade point averages (GPAs). The
ated a line of regression. No apparent pattern emerged
in the residuals plot. The equation of the line was
GPA = 2.73 + 0.11 Meals.
a) Interpret the y-intercept in this context.
b) Interpret the slope in this context.
c) What was the mean GPA for these students?
d) If a student in this study had a negative residual, what
did that mean?
e) Upon hearing of this study, a counselor recommended
that parents who want to improve the grades their
children get should get the family to eat together more
often. Do you agree with this interpretation? Explain.
GPA = 2.73 + 0.11 Meals.
a) Interpret the y-intercept in this context.
b) Interpret the slope in this context.
c) What was the mean GPA for these students?
d) If a student in this study had a negative residual, what
did that mean?
e) Upon hearing of this study, a counselor recommended
that parents who want to improve the grades their
children get should get the family to eat together more
often. Do you agree with this interpretation? Explain.
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