Use this information to answer the next three questions. The distance (in feet)
ID: 3061653 • Letter: U
Question
Use this information to answer the next three questions. The distance (in feet) a cheetah runs in small bursts (1,350 to 1,600 feet) can be used to model the amount of time it takes to accelerate to its top speed (in seconds), usually about 65 mph. Here is the regression output. Simple linear regression results: Dependent Variable: Time Independent Variable: Distance Price = –25.73211 + 0.026988937 × Distance Sample size: 12 R (correlation coefficient) = 0.8219 R–sq = 0.6755869 Estimate of error standard deviation: 0.8850526 Parameter Estimates Parameter Estimate Std. Err. Alternative DF T-Stat P-Value Intercept –25.73211 9.167087 0 10 –2.80700107 0.0186 Slope 0.026988937 0.0059141777 0 10 4.5634303 0.001 3. What is the predicted time (in seconds) it would take for a cheetah to accelerate to maximum speed if it had to run a distance of 1555 feet?
14.98 seconds
17.43 seconds
41.96 seconds
16.23 seconds
Explanation / Answer
from given data : least square line time = –25.73211 + 0.026988937 × Distance
therefore predicted time =-25.73211+0.026988937*1555 =16.23 seconds
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