A marketing professor at Givens College is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 10 students who took the course last quarter follow. Hours Total Spent Studying Points Earned 45 40 30 35 90 75 60 65 105 90 65 50 90 90 80 80 55 45 75 65 (a) Develop an estimated regression equation showing how total points earned can be predicted from hours spent studying. (Round your numerical values to two decimal places.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
icon
Related questions
icon
Concept explainers
Question
A marketing professor at Givens College is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 10 students who took the
course last quarter follow.
Hours
Total
Spent Studying
Points Earned
45
40
30
35
90
75
60
65
105
90
65
50
90
90
80
80
55
45
75
65
(a) Develop an estimated regression equation showing how total points earned can be predicted from hours spent studying. (Round your numerical values to two decimal places.)
Transcribed Image Text:A marketing professor at Givens College is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 10 students who took the course last quarter follow. Hours Total Spent Studying Points Earned 45 40 30 35 90 75 60 65 105 90 65 50 90 90 80 80 55 45 75 65 (a) Develop an estimated regression equation showing how total points earned can be predicted from hours spent studying. (Round your numerical values to two decimal places.)
(b) Test the significance of the model with a = 0.05. (Use the Ftest.)
State the null and alternative hypotheses.
O Ho: P1= 0
H B, +o
O Hg: B1 0
B, z o
1.
O Ho: Po+0
H Po= 0
७ H,: B, + 0
H B1-0
O Ho: Bo = 0
H Bo# 0
%3D
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
ww.
State your conclusion.
O Do not reject H,. We conclude that the relationship between hours spent studying and total points earned is significant.
Reject H. We cannot conclude that the relationship between hours spent studying and total points earned is significant.
O Do not reject H,. We cannot conclude that the relationship between hours spent studying and total points earned is significant.
O Reject H, We conclude that the relationship between hours spent studying and total points earned is significant.
:(c) Predict the total points earned by Mark Sweeney. He spent 85 hours studying. (Round your answer to two decimal places.)
points
(d) Develop a 95% prediction interval for the total points earned by Mark Sweeney. (Round your answers to two decimal places.)
points to
points
Transcribed Image Text:(b) Test the significance of the model with a = 0.05. (Use the Ftest.) State the null and alternative hypotheses. O Ho: P1= 0 H B, +o O Hg: B1 0 B, z o 1. O Ho: Po+0 H Po= 0 ७ H,: B, + 0 H B1-0 O Ho: Bo = 0 H Bo# 0 %3D Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = ww. State your conclusion. O Do not reject H,. We conclude that the relationship between hours spent studying and total points earned is significant. Reject H. We cannot conclude that the relationship between hours spent studying and total points earned is significant. O Do not reject H,. We cannot conclude that the relationship between hours spent studying and total points earned is significant. O Reject H, We conclude that the relationship between hours spent studying and total points earned is significant. :(c) Predict the total points earned by Mark Sweeney. He spent 85 hours studying. (Round your answer to two decimal places.) points (d) Develop a 95% prediction interval for the total points earned by Mark Sweeney. (Round your answers to two decimal places.) points to points
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
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
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning