(c) Graph the line on the scatter diagram. (d) If 60 is the minimum passing grade, below which placement test score should students in the future be denied admission to this course?
11.11 The thrust of an engine (y) is a function of exhaust temperature (x) in °F when other important variables are held constant. Consider the following data.
4300 1760 4010 1665 4650 1652 3810 1550 3200 1485 4500 1700 3150 1390 3008 1270 4950 1820 (a) Plot the data. (b) Fit a. simple linear regression to the data and plot the line through the data.
11.12 A study was done to study the effect of ambi-ent temperature x on the electric power consumed by a chemical plant y. Other factors were held constant, and the data were collected from an experimental pilot plant.
y (BTU) z (°F) y (BTU) x (°F) 250 27 265 31 285 45 298 60 320 72 267 34 295 58 321 74
(a) Plot the data. (b) Estimate the slope and intercept in a simple linear region model. (c) Predict power consumption for an ambient temper-ature of 65°F.
11.13 A study of the amount of rainfall and the quan-tity of air pollution removed produced the following
in i = in c + (In d).o = bo + taw.] w (years) z (dollars) w (years) z (dollars) 1 6350 3 5395 2 5695 5 4985 2 5750 5 4895
data: Daily Rainfall, x (0.01 cm)
4.3 4.5 5.9 5.6 6.1 5.2 3.8 2.1 7.5
Particulate Removed, (PTI118) 1 6 121 116 118 114 118 132 141 108
(a) Find the equation of the regression line to predict the particulate removed from the amount of daily rainfall. (b) Estimate the amount of particulate removed when the daily rainfall is s = 4.8 units.
11.14 A professor in the School of Business in a uni-versity polled a dozen colleagues about the number of professional meetings they attended in the past five years (x) and the number of papers they submitted to refereed Journals (y) during the same period. The summary data are given as follows:
n = 12, 2 = 4, p = 12, E .r? 232, E = 318.
Fit a simple linear regression model between x and y by finding out the estimates of intercept and slope. Com-ment on whether attending more professional meetings would result In publishing more papers.