1. The following data are annual precipitation amounts (inches) from nine rain gauge stations at various elevations (ft) in the Willamette Valley climate zone. Station Beaverton Portland Estacada Hillsboro Oregon City Headworks Rex Willamette Dilley Elevation Precipitation (ft) 270 20 410 160 170 750 520 150 170 (in) 39.77 36.32 59.28 37.57 47.06 79.5 41.37 40.78 44.2 (a) Calculate the mean and standard deviation of elevation and precipitation. (b) Plot measured precipitation values (y-axis) against elevation (x-axis) in excel. (c) What is regression equation using precipitation (ppt) as a dependent variable (Y) and elevation as an explanatory variable (X). In other words, the form of the equation will look like Y = a + bX. State the physical meaning of a (Y intercept) and b (slope of the regression). (d) Is this a significant relationship? How do you tell? How well does precipitation amount track changes in elevation? How can you quantify this relationship? (hint: In Excel, go to data analysis under the tools menu. Highlight regression, click OK. You then need to assign input X and Y ranges. A new sheet will report the ANOVA table. Read significance F, and see whether the F value is greater than 0.05).
1. The following data are annual precipitation amounts (inches) from nine rain gauge stations at various elevations (ft) in the Willamette Valley climate zone. Station Beaverton Portland Estacada Hillsboro Oregon City Headworks Rex Willamette Dilley Elevation Precipitation (ft) 270 20 410 160 170 750 520 150 170 (in) 39.77 36.32 59.28 37.57 47.06 79.5 41.37 40.78 44.2 (a) Calculate the mean and standard deviation of elevation and precipitation. (b) Plot measured precipitation values (y-axis) against elevation (x-axis) in excel. (c) What is regression equation using precipitation (ppt) as a dependent variable (Y) and elevation as an explanatory variable (X). In other words, the form of the equation will look like Y = a + bX. State the physical meaning of a (Y intercept) and b (slope of the regression). (d) Is this a significant relationship? How do you tell? How well does precipitation amount track changes in elevation? How can you quantify this relationship? (hint: In Excel, go to data analysis under the tools menu. Highlight regression, click OK. You then need to assign input X and Y ranges. A new sheet will report the ANOVA table. Read significance F, and see whether the F value is greater than 0.05).
Mathematics For Machine Technology
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Chapter29: Tolerance, Clearance, And Interference
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![1. The following data are annual precipitation amounts (inches)
from nine rain gauge stations at various elevations (ft) in the
Willamette Valley climate zone.
Station
Beaverton
Portland
Estacada
Hillsboro
Oregon
City
Headworks
Rex
Willamette
Dilley
Elevation
(ft)
270
20
410
160
170
750
520
150
170
Precipitation
(in)
39.77
36.32
59.28
37.57
47.06
79.5
41.37
40.78
44.2
(a) Calculate the mean and standard deviation of elevation and
precipitation.
(b) Plot measured precipitation values (y-axis) against elevation
(x-axis) in excel.
(c) What is regression equation using precipitation (ppt) as a
depe ent variable (Y) and elevation as an explanatory variable
(X). In other words, the form of the equation will look like Y = a +
bX. State the physical meaning of a (Y intercept) and b (slope of
the regression).
(d) Is this a significant relationship? How do you tell? How well
does precipitation amount track changes in elevation? How can
you quantify this relationship?
(hint: In Excel, go to data analysis under the tools menu. Highlight
regression, click OK. You then need to assign input X and Y
ranges. A new sheet will report the ANOVA table. Read
significance F, and see whether the F value is greater than 0.05).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85a13651-0641-4e1f-9366-64e873b85445%2F28687a1c-141e-42cd-a392-97b64b70222f%2Fvmxwe7i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. The following data are annual precipitation amounts (inches)
from nine rain gauge stations at various elevations (ft) in the
Willamette Valley climate zone.
Station
Beaverton
Portland
Estacada
Hillsboro
Oregon
City
Headworks
Rex
Willamette
Dilley
Elevation
(ft)
270
20
410
160
170
750
520
150
170
Precipitation
(in)
39.77
36.32
59.28
37.57
47.06
79.5
41.37
40.78
44.2
(a) Calculate the mean and standard deviation of elevation and
precipitation.
(b) Plot measured precipitation values (y-axis) against elevation
(x-axis) in excel.
(c) What is regression equation using precipitation (ppt) as a
depe ent variable (Y) and elevation as an explanatory variable
(X). In other words, the form of the equation will look like Y = a +
bX. State the physical meaning of a (Y intercept) and b (slope of
the regression).
(d) Is this a significant relationship? How do you tell? How well
does precipitation amount track changes in elevation? How can
you quantify this relationship?
(hint: In Excel, go to data analysis under the tools menu. Highlight
regression, click OK. You then need to assign input X and Y
ranges. A new sheet will report the ANOVA table. Read
significance F, and see whether the F value is greater than 0.05).
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