The following data is representative of that reported in an article with x = bur

Question

The following data is representative of that reported in an article with x = burner-area liberation rate (MBtu/hr-ft2) and y = NOx emission rate (ppm):

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.)

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.)

x 100 125 125 150 150 200 200 250 250 300 300 350 400 400 y 160 130 180 210 190 310 290 400 420 450 400 610 600 680

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: y
Independent Variable: x
y = -47.654402 + 1.7264126 x
Sample size: 14
R (correlation coefficient) = 0.98027473
R-sq = 0.96093854
Estimate of error standard deviation: 37.04066

Parameter estimates:

Analysis of variance table for regression model:

Predicted values:

Now,

The value of test statistic depends whether we are testing for the model or for the slope.

In case if we are testing for regression model, Test statistic = 295.21

In case if we are testing for slope, Test statistic = 17.18

P - Value in both the cases = 0.000

95% CI will be: (-84.31, 23.53)

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept -47.654402 25.670249 0 12 -1.8564059 0.0881 Slope 1.7264126 0.10048018 0 12 17.181623 <0.0001

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.