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6.14 Table 6.1 (Weisberg 1985, p. 231) gives the data on daytime eruptions of Old Faithful Geyser in Yellowstone National Park during August 1-4, 1978. The variables are x = duration of an eruption and y = interval to the next eruption. Can x be used to successfully predict y using a simple linear model Yi = Bo + B₁x₁ + εi? (a) Find 3 and 3₁. (b) Test Ho: B₁ = 0 using (6.14). (c) Find a confidence interval for B₁. (d) Find ² using (6.16).

6.14 Table 6.1 (Weisberg 1985, p. 231) gives the data on daytime eruptions of Old Faithful Geyser in Yellowstone National Park during August 1-4, 1978. The variables are x = duration of an eruption and y = interval to the next eruption. Can x be used to successfully predict y using a simple linear model Yi = Bo + B₁x₁ + εi? (a) Find 3 and 3₁. (b) Test Ho: B₁ = 0 using (6.14). (c) Find a confidence interval for B₁. (d) Find ² using (6.16).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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6.14 Table 6.1 (Weisberg 1985, p. 231) gives the data on daytime eruptions of Old Faithful Geyser in Yellowstone National Park during August 1-4, 1978. The variables are x = duration of an eruption and y = interval to the next eruption. Can x be used to successfully predict y using a simple linear model Yi Bo + B₁x + ε;? (a) Find B and B₁. (b) Test Ho: B₁ = 0 using (6.14). (c) Find a confidence interval for B₁. (d) Find ² using (6.16).
Transcribed Image Text:6.14 Table 6.1 (Weisberg 1985, p. 231) gives the data on daytime eruptions of Old Faithful Geyser in Yellowstone National Park during August 1-4, 1978. The variables are x = duration of an eruption and y = interval to the next eruption. Can x be used to successfully predict y using a simple linear model Yi Bo + B₁x + ε;? (a) Find B and B₁. (b) Test Ho: B₁ = 0 using (6.14). (c) Find a confidence interval for B₁. (d) Find ² using (6.16).
TABLE 6.1 Eruptions of Old Faithful Geyser, August 1-4, 1978" y 78 74 68 76 80 84 50 93 55 76 58 74 75 X 4.4 3.9 4.0 4.0 3.5 4.1 2.3 4.7 1.7 4.9 1.7 4.6 3.4 - y 80 56 80 69 57 90 42 91 51 79 53 82 51 - X 4.3 1.7 3.9 3.7 3.1 4.0 1.8 4.1 1.8 3.2 1.9 4.6 2.0 "Where x = duration, y = interval (both in minutes). y 76 82 84 53 86 51 85 45 88 51 80 49 82 - X 4.5 3.9 4.3 2.3 3.8 1.9 4.6 1.8 4.7 1.8 4.6 1.9 3.5 - y 75 73 67 68 86 72 75 75 66 84 70 79 60 86 X 4.0 3.7 3.7 4.3 3.6 3.8 3.8 3.8 2.5 4.5 4.1 3.7 3.8 3.4
Transcribed Image Text:TABLE 6.1 Eruptions of Old Faithful Geyser, August 1-4, 1978" y 78 74 68 76 80 84 50 93 55 76 58 74 75 X 4.4 3.9 4.0 4.0 3.5 4.1 2.3 4.7 1.7 4.9 1.7 4.6 3.4 - y 80 56 80 69 57 90 42 91 51 79 53 82 51 - X 4.3 1.7 3.9 3.7 3.1 4.0 1.8 4.1 1.8 3.2 1.9 4.6 2.0 "Where x = duration, y = interval (both in minutes). y 76 82 84 53 86 51 85 45 88 51 80 49 82 - X 4.5 3.9 4.3 2.3 3.8 1.9 4.6 1.8 4.7 1.8 4.6 1.9 3.5 - y 75 73 67 68 86 72 75 75 66 84 70 79 60 86 X 4.0 3.7 3.7 4.3 3.6 3.8 3.8 3.8 2.5 4.5 4.1 3.7 3.8 3.4
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