DATAfile: HoursPts A statistical program is recommended. 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 F test.) State the null and alternative hypotheses. O Hoi 8,0 H B, -0 O Ho: B 20 O Ho: Bo0 HB =0 O Ho: B, - 0 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 State your conclusion. O Do not reject Ha. We cannot conclude that the relationship between hours spent studying and total points earned is significant. O Do not reject Hg. We conclude that the relationship between hours spent studying and total points earned is significant. Reject H. We conclude that the relationship between hours spent studying and total points earned is significant. O Reject Hg. We cannot 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 70 hours studying. (Round your answer to two decimal places.) points
DATAfile: HoursPts A statistical program is recommended. 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 F test.) State the null and alternative hypotheses. O Hoi 8,0 H B, -0 O Ho: B 20 O Ho: Bo0 HB =0 O Ho: B, - 0 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 State your conclusion. O Do not reject Ha. We cannot conclude that the relationship between hours spent studying and total points earned is significant. O Do not reject Hg. We conclude that the relationship between hours spent studying and total points earned is significant. Reject H. We conclude that the relationship between hours spent studying and total points earned is significant. O Reject Hg. We cannot 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 70 hours studying. (Round your answer to two decimal places.) points
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
Related questions
Concept explainers
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Question
100%
Transcribed Image Text:10.
DETAILS
ASWSBE14 14.E.065.
MY NOTES
ASK YOUR TEACHER
PRACTICE ANOTHER
DATAfile: HoursPts
A statistical program is recommended.
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.
Total
Points Earned
Hours
Spent Studying
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 F test.)
State the null and alternative hypotheses.
O Ho: Bo = 0
H: Bo 0
O Ho: B1 * 0
H: B2 = 0
O Ho: B120
O Ho: Bo * 0
H: Bo = 0
O Ho: B, = 0
H: B, = 0
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 =
State your conclusion.
O Do not reject H. We cannot conclude that the relationship between hours spent studying and total points earned is significant.
O Do not reject H.. We 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.
O Reject Ho. We cannot 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 70 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
Need Help?
Read It
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 1 images
Knowledge Booster
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…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill