A professor wants to conduct a study in a statistics class to measure the effect of solving problems at home on the performance on the final exam. She collected data at random for 20 students from a class on the number of hours spent in a week doing problem sets at home (X) and their score on the final exam (Y), as shown in the following table. Answer questions (a) through (d) based on this data.   X = # of hrs/week 24 10 20 6 5 21 23 18 19 12 16 6 19 5 22 12 20 15 18 10 Y = score on the final 100 72 90 63 59 90 98 89 86 73 85 66 86 64 96 73 94 85 85 70   The regression slope is ________ and the vertical intercept is  ________. The predicted final score of a student who studies for 12 hours every week is ________ . The coefficients of determination is ___________ and_______

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
icon
Related questions
Question

A professor wants to conduct a study in a statistics class to measure the effect of solving problems at home on the performance on the final exam. She collected data at random for 20 students from a class on the number of hours spent in a week doing problem sets at home (X) and their score on the final exam (Y), as shown in the following table. Answer questions (a) through (d) based on this data.

 

X = # of hrs/week 24 10 20 6 5 21 23 18 19 12 16 6 19 5 22 12 20 15 18 10
Y = score on the final 100 72 90 63 59 90 98 89 86 73 85 66 86 64 96 73 94 85 85 70

 

  1. The regression slope is ________ and the vertical intercept is  ________.
  2. The predicted final score of a student who studies for 12 hours every week is ________ .
  3. The coefficients of determination is ___________ and__________ coefficient of non-determination is __________ . 
  4. Perform an F-test for the significance of the regression at 0.05 level of significance. Answer if you found the model to be "significant" or "not significant" based on this test. _____________________

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Knowledge Booster
Fractions
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
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