It is believed that standardized test scores, such as SAT, is a good predictor of first-year college students' GPA. x 1200 1120 1000 1420 1280 750 1100 y 3.2 2.5 2.7 3.5 2.9 2.2 2.3 1. Find the p-value to determine if there is a linear correlation between SAT scores and GPA. Record the p-value below. Round to four decimal places. p-value== 2. Is there a linear correlation between SAT scores and GPA? ? Yes No  3. If there is a linear correation, write the correlation coefficient below. Otherwise, leave it blank. Round your final answer to four decimal places. r=r=

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 15PPS
icon
Related questions
icon
Concept explainers
Question

It is believed that standardized test scores, such as SAT, is a good predictor of first-year college students' GPA.

x 1200 1120 1000 1420 1280 750 1100
y 3.2 2.5 2.7 3.5 2.9 2.2 2.3



1. Find the p-value to determine if there is a linear correlation between SAT scores and GPA. Record the p-value below. Round to four decimal places.
p-value==


2. Is there a linear correlation between SAT scores and GPA?
? Yes No 


3. If there is a linear correation, write the correlation coefficient below. Otherwise, leave it blank. Round your final answer to four decimal places.
r=r= 


4. If there is a linear correlation, write the regression equation below. Otherwise, leave it blank. Round all numbers to four decimal places.
ˆy=y^=


5. Using the data shown above, predict a student's first-year GPA when the student scores a 1275 on the SAT. Round your final answer to two decimal places.



6. If there is a linear correlation, what percentage of variation in GPAs can be explained by students' SAT scores? If there is not a linear correlation, leave it blank. Round your final anwer to two decimal places.
 %%

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
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
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