The following estimated regression equation based on 10 observations was presented. ŷ = 24.1570 + 0.5203x, + 0.491x2 Here, SST = 6,735.125, SSR = 6,229.375, sp, = 0.0816, and = 0.0568. (a) Compute MSR and MSE. zas (b) Compute F and perform the appropriate F test. Use a = 0.05. (c) Perform at test for the significance of ß,. Use a = 0.05. (d) Perform at test for the significance of B,. Use a = 0.05.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section: Chapter Questions
Problem 30PT: For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or...
icon
Related questions
icon
Concept explainers
Question
100%
Tutorial Exercise
The following estimated regression equation based on 10 observations was presented.
ŷ = 24.1570 + 0.5203x1
+ 0.491x2
Here, SST = 6,735.125, SSR = 6,229.375, sp.
0.0816, and
0.0568.
%D
zas
(a) Compute MSR and MSE.
(b) Compute F and perform the appropriate F test. Use a = 0.05.
(c) Perform at test for the significance of B,. Use a = 0.05.
(d) Perform at test for the significance of ß,. Use a = 0.05.
Step 1
(a) Compute MSR and MSE.
The MSR, mean square due to regression is calculated as follows where SSR is the sum of squares due to
regression and p is the number of independent variables in the estimated regression equation.
SSR
MSR
%D
The estimated regression equation was given to be ŷ = 24.1570 + 0.5203x, + 0.491x2. This equation has
two independent variables, so p =
The value of SSR was given to be SSR = 6,229.375. Use
these to find the value of MSR, rounding the result to three decimal places.
SSR
MSR =
6,229.375
Submit
Skip (you cannot come back).
Transcribed Image Text:Tutorial Exercise The following estimated regression equation based on 10 observations was presented. ŷ = 24.1570 + 0.5203x1 + 0.491x2 Here, SST = 6,735.125, SSR = 6,229.375, sp. 0.0816, and 0.0568. %D zas (a) Compute MSR and MSE. (b) Compute F and perform the appropriate F test. Use a = 0.05. (c) Perform at test for the significance of B,. Use a = 0.05. (d) Perform at test for the significance of ß,. Use a = 0.05. Step 1 (a) Compute MSR and MSE. The MSR, mean square due to regression is calculated as follows where SSR is the sum of squares due to regression and p is the number of independent variables in the estimated regression equation. SSR MSR %D The estimated regression equation was given to be ŷ = 24.1570 + 0.5203x, + 0.491x2. This equation has two independent variables, so p = The value of SSR was given to be SSR = 6,229.375. Use these to find the value of MSR, rounding the result to three decimal places. SSR MSR = 6,229.375 Submit Skip (you cannot come back).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

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
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,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
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