The date below shows the fuel consumption of a certain generator at different loads. Show complete solutions and ROUNDING OFF is ALLOWED only in the final answers expressed up to THREE DECIMAL PLACES. LOAD (%) FUEL CONSUMPTION (L/hr) 110 312.9 50 149.2 100 284.4 40  135.2 75 219.6 a. Construct a scatter plot for the given data and describe the nature of the relationship.  b. Compute the value of the correlation coefficient.  c. Test the significance of the correlation coefficient.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
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The date below shows the fuel consumption of a certain generator at different loads. Show complete solutions and ROUNDING
OFF is ALLOWED only in the final answers expressed up to THREE DECIMAL PLACES.

LOAD (%) FUEL CONSUMPTION (L/hr)
110 312.9
50 149.2
100 284.4
40  135.2
75 219.6

a. Construct a scatter plot for the given data and describe the nature of the relationship. 

b. Compute the value of the correlation coefficient

c. Test the significance of the correlation coefficient. 

d. Compute the y'-intercept of the regression line.

e. Find the slope of the regression line. 

f. Predict the fuel consumption of the generator if the load is 10%.

2. The data below shows the fuel consumption of a certain generator at different loads.
LOAD (%)
Fuel Consumption (L/hr)
110
312.9
50
149.2
100
284.4
40
135.2
75
219.6
a. Construct a scatter plot for the given data and describe the nature of the relationship.
b. Compute the value of the correlation coefficient.
c. Test the significance of the correlation coefficient.
d. Compute the y'-intercept of the regression line.
e. Find the slope of the regression line.
f. Predict the fuel consumption of the generator if the load is 10%.
Transcribed Image Text:2. The data below shows the fuel consumption of a certain generator at different loads. LOAD (%) Fuel Consumption (L/hr) 110 312.9 50 149.2 100 284.4 40 135.2 75 219.6 a. Construct a scatter plot for the given data and describe the nature of the relationship. b. Compute the value of the correlation coefficient. c. Test the significance of the correlation coefficient. d. Compute the y'-intercept of the regression line. e. Find the slope of the regression line. f. Predict the fuel consumption of the generator if the load is 10%.
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