Answer:
Step-by-step explanation:
In the model
Log (salary) = B0 + B1LSAT +B2GPA +B3log(libvol) +B4log(cost)+B5 rank+u
The hypothesis that rank has no effect on log (salary) is H0:B5 = 0. The estimated equation (now with standard errors) is
Log (salary) = 8.34 + .0047 LSAT + .248 GPA + .095 log(libvol)
(0.53) (.0040) (.090) (.033)
+ .038 log(cost) – .0033 rank
(.032) (.0003)
n = 136, R2 = .842.
The t statistic on rank is –11(i.e. 0.0033/0.0003), which is very significant. If rank decreases by 10 (which is a move up for a law school), median starting salary is predicted to increase by about 3.3%.
(ii) LSAT is not statistically significant (t statistic ≈1.18) but GPA is very significance (t statistic ≈2.76). The test for joint significance is moot given that GPA is so significant, but for completeness the F statistic is about 9.95 (with 2 and 130 df) and p-value ≈.0001.
<span>If a triangle does not have one angle greater than 90°, then it is not an obtuse triangle.
Remember that you create a contrapositive by inverting and swapping both terms. So if you have
if A then B
the contrapositive would be
if not-B then not-A
Since you've been given
"If a triangle is an obtuse triangle, then it has one angle with measure greater than 90°"
the contrapositive would be something like
"If a triangle has no angles with a measure greater than 90°, then it is not an obtuse triangle."
So, now look at the available choices and see what matches in intent even if it's not phrased exactly the same.
The option
"If a triangle does not have one angle greater than 90°, then it is not an obtuse triangle."
matches the intent of the contrapositive that we constructed independently and is the correct answer.</span>
