BAD 376 HOMEWORK 2 QUESTION 1 Test whether the mean sales in 3 stores are equal against the alternative that not all the mean sales are equal (use a-10%). A business analyst provided the following information about random samples taken from the stores: Store 1 X₁ =10 Sales Store 2 Store 3 X2=14 X3 =12 S-6 S-4 S-5 n₁ = 4 n₂ =4 n₁ = 5 QUESTION 2 The following is a sample of 4 measurements for X and Y: X Y 2 3 2 5 4 5 7 Calculate the following: 1- The mean of X and the mean of Y; 2- The variance of X and the variance of Y; 3- The covariance between X and Y; that is, COV(X, Y). Comment on your result. 4- Consider the following regression: YB, +ẞ,X a. Use the Ordinary Least Squares Method to estimate B, and ẞ; b. Find the prediction line; c. Compute the coefficient of determination; that is R2. Comment on your result.
BAD 376 HOMEWORK 2 QUESTION 1 Test whether the mean sales in 3 stores are equal against the alternative that not all the mean sales are equal (use a-10%). A business analyst provided the following information about random samples taken from the stores: Store 1 X₁ =10 Sales Store 2 Store 3 X2=14 X3 =12 S-6 S-4 S-5 n₁ = 4 n₂ =4 n₁ = 5 QUESTION 2 The following is a sample of 4 measurements for X and Y: X Y 2 3 2 5 4 5 7 Calculate the following: 1- The mean of X and the mean of Y; 2- The variance of X and the variance of Y; 3- The covariance between X and Y; that is, COV(X, Y). Comment on your result. 4- Consider the following regression: YB, +ẞ,X a. Use the Ordinary Least Squares Method to estimate B, and ẞ; b. Find the prediction line; c. Compute the coefficient of determination; that is R2. Comment on your result.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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Transcribed Image Text:BAD 376
HOMEWORK 2
QUESTION 1
Test whether the mean sales in 3 stores are equal against the alternative that not all the mean
sales are equal (use a-10%). A business analyst provided the following information about
random samples taken from the stores:
Store 1
X₁ =10
Sales
Store 2
Store 3
X2=14
X3 =12
S-6
S-4
S-5
n₁ = 4
n₂ =4
n₁ = 5
QUESTION 2
The following is a sample of 4 measurements for X and Y:
X
Y
2
3
2
5
4
5
7
Calculate the following:
1- The mean of X and the mean of Y;
2- The variance of X and the variance of Y;
3- The covariance between X and Y; that is, COV(X, Y). Comment on your
result.
4- Consider the following regression: YB, +ẞ,X
a. Use the Ordinary Least Squares Method to estimate B, and ẞ;
b. Find the prediction line;
c. Compute the coefficient of determination; that is R2. Comment on
your result.
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