How does the fuel consumption of a car change as its speed increases? The table presents data for a 2014 Chevrolet Cruze Turbo Diesel. Speed is measured in miles per hour, and fuel consumption is measured in miles per gallon. Speed 10 20 30 40 50 60 70 80 Fuel 38.1 54.0 68.4 63.6 60.5 55.4 50.6 43.8 Is there significant evidence of straight‑line dependence between speed and fuel use? What is the value of the t-statistic for testing: -1.4 0.628  0.395  -0.14   What are hypotheses and the P-value for the test?   Which conclusion seems most justified? - There is little evidence of a straight line dependence between speed and fuel use. - There is significant evidence against a straight line dependence between speed and fuel use. - There is strong evidence that there is a positive correlation between speed and fuel use. - There is some evidence that there is a negative correlation between speed and fuel use.   Make a scatterplot and use it to explain the result of your test. Select the statement that is supported by the scatterplot? - The plot shows highly irregular distribution. There is no distinct trend for the points. - The abundance of outliers in the plot means that the data should be treated with caution. - The relationship between speed and fuel consumption is nonlinear. - The relationship is roughly linear rather than strongly linear.

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.
Chapter3: The Derivative
Section3.4: Definition Of The Derivative
Problem 50E
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How does the fuel consumption of a car change as its speed increases? The table presents data for a 2014 Chevrolet Cruze Turbo Diesel. Speed is measured in miles per hour, and fuel consumption is measured in miles per gallon.

Speed 10 20 30 40 50 60 70 80
Fuel 38.1 54.0 68.4 63.6 60.5 55.4 50.6 43.8

Is there significant evidence of straight‑line dependence between speed and fuel use?

What is the value of the t-statistic for testing:
-1.4
0.628 
0.395 
-0.14
 
What are hypotheses and the P-value for the test?
 
Which conclusion seems most justified?
- There is little evidence of a straight line dependence between speed and fuel use.
- There is significant evidence against a straight line dependence between speed and fuel use.
- There is strong evidence that there is a positive correlation between speed and fuel use.
- There is some evidence that there is a negative correlation between speed and fuel use.
 
Make a scatterplot and use it to explain the result of your test. Select the statement that is supported by the scatterplot?
- The plot shows highly irregular distribution. There is no distinct trend for the points.
- The abundance of outliers in the plot means that the data should be treated with caution.
- The relationship between speed and fuel consumption is nonlinear.
- The relationship is roughly linear rather than strongly linear.
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