Data comprises of the number of hours studied (X) and the exam grade (Y) obtained for 6 first year students registered at UWC. The equation of best fit is given by: y = 67.071 + 4.535x. The correlation coefficient is found to be 0.557, which implies that the coefficient of determination is …………, and that …………….. A. 0.557, about 55,7% of the variation in Y is explained by the estimated line of best fit. B. 55.7%, the time (in hours) spent studying has a positively correlation with the grade obtained in the exam. C. 0.7463, about 74.6% of the variation in Y is explained by the estimated line of best fit. D. 0.310, about 31% of the variation in Y is explained by the estimated line of best fit.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 23PFA
icon
Related questions
Question

Data comprises of the number of hours studied (X) and the exam grade (Y) obtained for 6 first year students registered at UWC. The equation of best fit is given by: y = 67.071 + 4.535x. The correlation coefficient is found to be 0.557, which implies that the coefficient of determination is …………, and that ……………..

A. 0.557, about 55,7% of the variation in Y is explained by the estimated line of best fit.

B. 55.7%, the time (in hours) spent studying has a positively correlation with the grade obtained in the exam.

C. 0.7463, about 74.6% of the variation in Y is explained by the estimated line of best fit.

D. 0.310, about 31% of the variation in Y is explained by the estimated line of best fit.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning