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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 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).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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).
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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