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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.

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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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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.
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