The data below represent the number of days absent, x, and the final grade, y, for a sample of college students at a large university. Complete parts (a) through (e) below. No. of absences, x Final grade, y 0 1 2 3 4 5 7 8 89.0 86.2 83.2 80.8 77.8 73.4 63.8 68.3 65.4 62.6 (a) Find the least-squares regression line treating the number of absences, x, as the explanatory variable and the final grade, y, as the response variable. y = - 3.110 x+ (89.045) (Round to three decimal places as needed.) (b) Interpret the slope and y-intercept, if appropriate. Interpret the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Round to three decimal places as needed.) O A. For every unit change in the final grade, the number of days absent falls by days, on average. O B. For a final score of zero, the number of days absent is predicted to be days. O C. For every day absent, the final grade falls by on average. O D. For zero days absent, the final score is predicted to be O E. It is not appropriate to interpret the slope.
The data below represent the number of days absent, x, and the final grade, y, for a sample of college students at a large university. Complete parts (a) through (e) below. No. of absences, x Final grade, y 0 1 2 3 4 5 7 8 89.0 86.2 83.2 80.8 77.8 73.4 63.8 68.3 65.4 62.6 (a) Find the least-squares regression line treating the number of absences, x, as the explanatory variable and the final grade, y, as the response variable. y = - 3.110 x+ (89.045) (Round to three decimal places as needed.) (b) Interpret the slope and y-intercept, if appropriate. Interpret the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Round to three decimal places as needed.) O A. For every unit change in the final grade, the number of days absent falls by days, on average. O B. For a final score of zero, the number of days absent is predicted to be days. O C. For every day absent, the final grade falls by on average. O D. For zero days absent, the final score is predicted to be O E. It is not appropriate to interpret the slope.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.CR: Chapter Review Exercises
Problem 15CR: Life Expectancy The following table shows the average life expectancy, in years, of a child born in...
Related questions
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
Transcribed Image Text:The data below represent the number of days absent, x, and the final grade, y, for a sample of college students at a large university. Complete parts (a) through (e)
below.
No. of absences, x
Final grade, y
1
2
3
4
7
8
9
89.0 86.2 83.2 80.8 77.8 73.4 63.8 68.3 65.4 62.6
(a) Find the least-squares regression line treating the number of absences, x, as the explanatory variable and the final grade, y, as the response variable.
y = - 3.110 x + ( 89.045 )
(Round to three decimal places as needed.)
(b) Interpret the slope and y-intercept, if appropriate.
Interpret the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
(Round to three decimal places as needed.)
O A. For every unit change in the final grade, the number of days absent falls by
days, on average.
O B. For a final score of zero, the number of days absent is predicted to be
days.
O C. For every day absent, the final grade falls by
on average.
O D. For zero days absent, the final score is predicted to be
O E. It is not appropriate to interpret the slope.
Expert Solution
Step 1
Given that
Also part (a) is solved with the regression equation
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt