A researcher collected data on 21 snapping turtles in order to predict the age of a...
A researcher collected data on 21 snapping turtles in order to predict the age of a snapping turtle (age) from the length of its carapace (length). The simple linear regression model is shown below. Age is measured in years, and carapace length is measured in cm.
age = b0 + b1(length)
If the standard error of the slope is 0.24, what is the minimum
value of the slope in order for it to be significant? Round to two
decimal places and do not include units.
Given: critical value = 2.093
Homework Answers
We have standard error of slope S.E(b1) = 0.24
For critical value tCritical = 2.093
We reject the null hypothesis if t > 2.093
Here t = b1 / S.E(b1)
b1/0.24 > 2.093
b1 = 0.51
So for 0.51 slope is significant .
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