The data shown below for the dependent variable, y, and the independent variable, x, have been collected using simple random sampling. X 30.3 5.5 y 15.9 24.7 9.2 19.5 8.2 12 2.9 29.4 17.5 9.2 23.3 17.9 28.2 28.2 a. Develop a simple linear regression equation for these data. b. Determine the predicted y value when x = 11. c. Estimate the change in the y variable resulting from the increase in the x variable of 12units. d. Conduct a hypothesis test to determine if an increase of 1 unit in the x variable will result in the decrease of the average value of the y variable. Use a significance of 0.025. a. Complete the linear regression equation below. y= 36.42+(-1.08)x (Round to two decimal places as needed.). b. The predicted y value when x = 11 is (Round to two decimal places as needed.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 2EA
Question

help please answer in text form with proper workings and explanation for each and every part and steps with concept and introduction no AI no copy paste remember answer must be in proper format with all working

The data shown below for the dependent variable, y, and the independent variable, x, have been collected using simple random sampling.
X 30.3 5.5
y
15.9
24.7 9.2 19.5
8.2
12
2.9 29.4 17.5 9.2 23.3 17.9 28.2 28.2
a. Develop a simple linear regression equation for these data.
b. Determine the predicted y value when x = 11.
c. Estimate the change in the y variable resulting from the increase in the x variable of 12units.
d. Conduct a hypothesis test to determine if an increase of 1 unit in the x variable will result in the decrease of the average value of the y variable. Use a significance of 0.025.
a. Complete the linear regression equation below.
y= 36.42+(-1.08)x
(Round to two decimal places as needed.).
b. The predicted y value when x = 11 is
(Round to two decimal places as needed.)
Transcribed Image Text:The data shown below for the dependent variable, y, and the independent variable, x, have been collected using simple random sampling. X 30.3 5.5 y 15.9 24.7 9.2 19.5 8.2 12 2.9 29.4 17.5 9.2 23.3 17.9 28.2 28.2 a. Develop a simple linear regression equation for these data. b. Determine the predicted y value when x = 11. c. Estimate the change in the y variable resulting from the increase in the x variable of 12units. d. Conduct a hypothesis test to determine if an increase of 1 unit in the x variable will result in the decrease of the average value of the y variable. Use a significance of 0.025. a. Complete the linear regression equation below. y= 36.42+(-1.08)x (Round to two decimal places as needed.). b. The predicted y value when x = 11 is (Round to two decimal places as needed.)
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
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
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
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