The following data is representative of that reported in an article with x-burne

Question

The following data is representative of that reported in an article with x-burner-area liberation rate (MBtu/hr-ft, and y = NOx emission rate (ppm) x 100 125 125 150 150 200 200 250 250 300 300 350 400 400 y 160 150 170 220 180 310 270 400 420 430 390 610 610 670 (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. H0: 1 = 0 H0: 1 = 0 Ha: 1 > 0 Ha: A * 0 Ha: 1 = 0 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= 16.42 P-value 0.001 State the conclusion in the problem context. Reject Ho. There is evidence that the model is useful Fail to reject Ho. There is no evidence that the model is useful Reject Ho. There is no evidence that the model is useful. Fail to reject Ho-There is 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.) -85.25 X 26.46 ppm

Explanation / Answer

Rcode:

X <- c(
100,
125,
125,
150,
150,
200,
200,
250,
250,
300,
300,
350,
400,
400)

Y <- c(160,
150,
170,
220,
180,
310,
270,
400,
420,
430,
390,
610,
610,
670
)

rgmod1 =lm(Y~X)
newdata = data.frame(X=10)
predict(rgmod1, newdata, interval="predict")

GIVEN EXPECETD SO WE NEED TO FIND PREDICTION INTERVAL

output:

fit lwr upr
1 -29.39159 -129.9373 71.15417

ANSWER:(-129.94,71.15)

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