Suppose that a sample of size 10, (X, Yi), i = 1,2, .., 10 was collected to study the relationship between x and y. From the sample data, the following information was obtained. 10 12 15 18 25 3. -2 -2 -7 -3 3 -2 Vi = -3.18 +2.49x %3D a) Use a t-test approach to determine whether or not there is a significant relationship between x and y at 10% level. b) Construct and interpret a 90% interval estimate of E(y) at x. c) Find the standard error of the point estimator of the model intercept, sa d) Calculate and interpret the coefficient of determination. 21 20 7. 4. 2.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
2.
Suppose that a sample of size 10, (Xị, Yi), i = 1,2, .., 10 was collected to study the relationship
between x and y. From the sample data, the following information was obtained.
Xi
4
7
10
12
15
18
20
21
25
ei
3.
3
-2
-2
-7
-3
3
-2
7
Di = -3.18 + 2.49x
a)
Use a t-test approach to determine whether or not there is a significant relationship
between x and y at 10% level.
b)
Construct and interpret a 90% interval estimate of E(y) at x.
c)
Find the standard error of the point estimator of the model intercept, S.
d)
Calculate and interpret the coefficient of determination.
20°C Mostly s...A
2.
Transcribed Image Text:2. Suppose that a sample of size 10, (Xị, Yi), i = 1,2, .., 10 was collected to study the relationship between x and y. From the sample data, the following information was obtained. Xi 4 7 10 12 15 18 20 21 25 ei 3. 3 -2 -2 -7 -3 3 -2 7 Di = -3.18 + 2.49x a) Use a t-test approach to determine whether or not there is a significant relationship between x and y at 10% level. b) Construct and interpret a 90% interval estimate of E(y) at x. c) Find the standard error of the point estimator of the model intercept, S. d) Calculate and interpret the coefficient of determination. 20°C Mostly s...A 2.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer