A 0.05 significance level is being used to test a correlation between two variables. If the linear correlation coefficient r is
1 answer:
Answer:
Step-by-step explanation:
Given that the linear correlation coefficient r is found to be 0.591
the critical values are r equals plus or minus 0.878.
Significance level used = 0.05
The correlation r = 0.591
(two tailed test)
Test statistic =
Since r is less than 0.878, we accept that there is linear correlation between the two variables.
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Answer:
(-∞, -2), (-2, -0.618), and (1.618, 3)
Step-by-step explanation:
The red plus (+) signs indicate the regions in which the function is concave up, and the red negative (-) signs indicate the regions in which the function is concave down.
Note that the sign of the concavity changes at an inflection point.
Let's examine the intervals given.
(-∞, -2): Yes, concave up.
(-∞, -1.17): No. Concave up in (-∞, -2) but concave down in (-2, -1.17).
(-2, 0): No. Concave down in (-2, -1.17) but increasing in (-1.17, 0.0).
(-1.17, 0.689): Yes. Concave up.
(-0.618, 1.618): No. Concave up in (-0.618, 0.689) but concave down in (0.689, 1.618).
(0, 3): No. Concave up in (0, 0.689), concave down in (0.689, 2.481), and concave up in (2.481, 3).
(2.481, ∞): Yes. Concave up.
The three intervals that are concave up are (-∞, -2), (-1.17, -0.689), and (2.481, ∞).
We need to solve the speed formula for d. To do so, let's start by moving the number of the left hand side:
Square both sides to get rid of the square root:
Now plug the known value of the speed to find the distance:
So the closest answer is the last one: d=0.155km