11.2 seconds given model predicts a 7-foot pendulum that would take to complete one period.
The correct answer is option (D)
What is regression?
"It is statistical model which is used to determine the relationship between variables."
What is least square method?
"The least squares method is a mathematical regression analysis used to determine the line of best fit for a set of data."
Logarithm property:
If log x = b, then x = (10)^b
Given : the least-squares regression line,
log Time = 0.699 + 0.500 log(Length)
We need to find the time when given model predict a 7 foot pendulum would take to complete one period.
Here, Length = 7 ft
Using given model,
⇒ log Time = 0.699 + 0.500 log(7)
⇒ log Time = 0.699 + (0.5 × 0.8451)
⇒log Time = 0.699 + 0.423
⇒ log Time = 1.122
⇒ Time = [tex]10^{1.122}[/tex]
⇒ Time = 13.2 seconds
Therefore, the correct answer is option (D) 13.2 seconds.
Learn more about least-squares regression here:
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