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 x₁. c) Find the standard error of the point estimator of the model intercept, S d) Calculate and interpret the coefficient of determination.
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 x₁. c) Find the standard error of the point estimator of the model intercept, S d) Calculate and interpret the coefficient of determination.
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:2.
Suppose that a sample of size 10, (x₁, y₁), i = 1, 2, ..., 10 was collected to study the relationship
between x and y. From the sample data, the following information was obtained.
15
-2 -7
a)
Xi
b)
c)
ei
2 4
3
3
7
-2
10
0
12
18
-3
ŷi = -3.18 + 2.49x;
Use a t-test approach to determine whether or not there is a significant relationship
between x and y at 10% level.
Construct and interpret a 90% interval estimate of E(y) at x6.
Find the standard error of the point estimator of the model intercept, so-
d) Calculate and interpret the coefficient of determination.
20 21 25
3 -2 7
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