Here to find the linear regression equation, we will require to have values of ,, and
x | y | x^2 | xy | |
100 | 160 | 10000 | 16000 | |
125 | 130 | 15625 | 16250 | |
125 | 190 | 15625 | 23750 | |
150 | 220 | 22500 | 33000 | |
150 | 180 | 22500 | 27000 | |
200 | 310 | 40000 | 62000 | |
200 | 290 | 40000 | 58000 | |
250 | 410 | 62500 | 102500 | |
250 | 420 | 62500 | 105000 | |
300 | 450 | 90000 | 135000 | |
300 | 400 | 90000 | 120000 | |
350 | 610 | 122500 | 213500 | |
400 | 600 | 160000 | 240000 | |
400 | 680 | 160000 | 272000 | |
Sum | 3300 | 5050 | 913750 | 1424000 |
a = [(Σy) (Σx2 ) - (Σx) (Σxy)]/ [ n (Σx2 ) - (Σx)2 ]
a = [5050 * 913750 - 3300 * 1424000]/ [14 * 913750 - 3300 * 3300]
a = -44.55
slope
b = [ n(Σxy) - (Σx)((Σy)]/ [ n (Σx2 ) - (Σx)2 ]
b = [14 * 1424000 - 3300 * 5050]/[14 * 913750 - 3300 * 3300]
b = 1.719
Regression equation
y^ = -44.5532 + 1.7193 x
(b) Here x = 220
y^ = -44.5532 + 1.7193 * 220 = 333.70
(c) When burner area liberation rate is decreases by 50, NO2 emissionrate will decrease by 1.7193 * 50 = 85.97 ppm
(d) Here the answer is No, the value is too far away from the known values for useful extrapolation. option C is correct here.
The following data is representative of that reported in an article on nitrogen emissions, with x...
he following data is representative of that reported in an article on nitrogen emissions, with x - burner area liberation rate (MBtu/hr-ft2) and y NOx emission rate (ppm): x 100 125 125 150 150 200 200 250 250 300 300 350 400 400 у! 160 130 170 200 200 310 270 410 430 430 400 600 600 660 (a) Assuming that the simple linear regression model is valid, obtain the least squares estimate of the true regression line. (Round all...
1. 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): x 100 125 125 150 150 200 200 250 250 300 300 350 400 400 y 140 150 170 210 180 330 280 410 430 450 390 600 600 660 (a) Does the simple linear regression model specify a useful relationship between the two rates? Use the appropriate test procedure to obtain information about...
please answer part a 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 150 140 180 210 190 320 280 400 430 440 390 600 610 670 The equation of the estimated regression line is y -45.55190539 +1.71143233x (a) Obtain SSE for the data from the defining formula SSE- (Round your answer to two decimal places.) -45.55 Compare to the...
An article gave a scatter plot along with the least squares line of x = rainfall volume (m3) and y = runoff volume (m3) for a particular location. The accompanying values were read from the plot. x 5 12 14 20 23 30 40 51 55 67 72 85 96 112 127 y 4 10 13 15 15 25 27 45 38 46 53 75 82 99 103 (a) Does a scatter plot of the data support the use of...
An article gave a scatter plot along with the least squares line of x = rainfall volume (m3) and y = runoff volume (m2) for a particular location. The accompanying values were read from the plot. x 6 12 14 16 23 30 40 51 55 67 72 84 96 112 127 y 4 10 13 14 15 25 27 45 38 46 53 75 82 99 102 (a) Does a scatter plot of the data support the use of...
An article gave a scatter plot along with the least squares line of x = rainfall volume (mº) and y = runoff volume (m3) for a particular location. The accompanying values were read from the plot. x 4 12 14 16 23 30 40 51 55 67 72 80 96 112 127 y 4 10 13 46 53 72 82 99 15 15 25 27 44 38 103 in USE SALT (a) Does a scatter plot of the data support...
An article gave a scatter plot along with the least squares line of x = rainfall volume (m3) and y = runoff volume (m3) for a particular location. The accompanying values were read from the plot. х 4 12 14 17 23 30 40 48 55 67 72 81 96 112 127 y 4 10 13 14 15 25 27 44 38 46 53 70 82 99 104 (a) Does a scatter plot of the data support the use of...
An artide gave a scatter plot along with the least squares line of x -rainfall volume (m3) and y runoff volume (m3) for a particular location. The accompanying values were read from the plot. x14 12 14 17 23 30 40 52 55 67 72 85 96 112 127 y14 10 13 15 15 25 27 45 38 46 53 71 82 99 100 (a) Does a scatter plot of the data support the use of the simple linear regression...
An artide gave a scatter plot along with the least squares line of x -rainfall volume (m3) and y runoff volume (m3) for a particular location. The accompanying values were read from the plot. x14 12 14 17 23 30 40 52 55 67 72 85 96 112 127 y14 10 13 15 15 25 27 45 38 46 53 71 82 99 100 (a) Does a scatter plot of the data support the use of the simple linear regression...
I will rate, please help!!! Consider the following data concerning the demand (y) and price (x) of a consumer product. Demand, y Price, x 247 230 $2.06 $2.20 $2.47 $2.67 $2.88 $2.96 253 244 220 235 Type the data into Minitab as two COLUMNS (labeled Y (demand) and X (price)). Create a scatterplot to see the relationship between demand and price (a) From the plot, does it seem reasonable to use the simple linear regression model to relate y to...