The following data is representative of that reported in an article with x = burner-area liberation rate (MBtu/hr-ft²) and y NO, emission rate (ppm): x 100 125 125 150 150 200 200 250 250 300 300 350 400 400 y 140 130 170 210 200 320 290 400 420 440 390 610 620 670 (a) Does the simple linear regression model specify a useful relationship between the two rates? Use the appropriate test procedure to obtain information about the P-value, and then reach a conclusion at significance level 0.0 State the appropriate null and alternative hypotheses. O Hg: ₁0 H₂: B₂ <0 ⒸHg: B₁0 Ha: ₁0 O Ho: P₁ = 0 H₂: ₂0 O Hg: B₂0 Ha: ₁0 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) P-value=

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.1: Functions Of Several Variables
Problem 34E: The following table provides values of the function f(x,y). However, because of potential; errors in...
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The following data is representative of that reported in an article with x = burner-area liberation rate (MBtu/hr-ft2) and y = NO₂ emission rate (ppm):
x 100 125 125 150 150 200 200 250 250 300 300 350 400 400
y 140 130 170 210 200 320 290 400 420 440 390 610 620 670
(a) Does the simple linear regression model specify a useful relationship between the two rates? Use the appropriate test procedure to obtain information about the P-value, and then reach a conclusion at significance level 0.01.
State the appropriate null and alternative hypotheses.
Ho: P₁ = 0
Hg: B₂ <0
Ho: P₁0
Hg: B₁ * 0
O Ho: B₂0
H₂: B₂ > 0
O Ho: B₂ 0
Ha: P₁0
Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.)
t =
P-value=
State the conclusion in the problem context.
Ⓒ Reject Ho. There is evidence that the model is useful.
O Fail to reject Ho. There is no evidence that the model is useful.
O Fail to reject Ho. There is evidence that the model is useful.
O Reject Ho. There is no evidence that the model is useful.
(b) Compute a 95% CI for the expected change in emission rate associated with a 10 MBtu/hr-ft² increase in liberation rate. (Round your answers to two decimal places.)
ppm
Transcribed Image Text:The following data is representative of that reported in an article with x = burner-area liberation rate (MBtu/hr-ft2) and y = NO₂ emission rate (ppm): x 100 125 125 150 150 200 200 250 250 300 300 350 400 400 y 140 130 170 210 200 320 290 400 420 440 390 610 620 670 (a) Does the simple linear regression model specify a useful relationship between the two rates? Use the appropriate test procedure to obtain information about the P-value, and then reach a conclusion at significance level 0.01. State the appropriate null and alternative hypotheses. Ho: P₁ = 0 Hg: B₂ <0 Ho: P₁0 Hg: B₁ * 0 O Ho: B₂0 H₂: B₂ > 0 O Ho: B₂ 0 Ha: P₁0 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = P-value= State the conclusion in the problem context. Ⓒ Reject Ho. There is evidence that the model is useful. O Fail to reject Ho. There is no evidence that the model is useful. O Fail to reject Ho. There is evidence that the model is useful. O Reject Ho. There is no evidence that the model is useful. (b) Compute a 95% CI for the expected change in emission rate associated with a 10 MBtu/hr-ft² increase in liberation rate. (Round your answers to two decimal places.) ppm
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