loves, as everyone should, to collect and analyze statistical information. He wishes to find a relationship between how many hours students study and how they do on their statistics tests.  He takes a random sample of 16 students at Ideal U., asks how many hours they studied for a university-wide stat test and how they did on

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 2CYU
icon
Related questions
Topic Video
Question

woman loves, as everyone should, to collect and analyze statistical information.

He wishes to find a relationship between how many hours students study and how they do on their statistics tests. 
He takes a random sample of 16 students at Ideal U., asks how many hours they studied for a university-wide stat test
and how they did on the test, enters the data into a computer for analysis and presents the results below.

 

ANALYSIS OF HOURS AND GRADES (n = 16):

 

Descriptive Statistics:

 

HOURS GRADES

Mean:  4.2  75.8

Mode:  5.0  79.0

St. Dev:  2.3  10.1

 

Quartiles:

Q0  2.0  34.0

Q1  3.2  53.7

Q2  4.7  78.5

Q3  6.3  86.9

Q4  9.0  97.0

 

Regression Analysis:

Reg. Eq. is: GRADE = 16.9 + 9.025*HOURS

Rsquared = .985 std error = 0.027   F = 8.52 p = .018

 

What is the correlation between hours studied and grades?

 

  a.

0.016

  b.

0.992

  c.

0.985

  d.

cannot be determined

  e.

0.12

Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
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
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill