Answer:
Null hypothesis:
Alternative hypothesis:
The statistic to check the hypothesis is given by:
And is distributed with n-2 degrees of freedom
And the statistic to check the significance of a coeffcient in a regression is given by:

For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:
Always
Step-by-step explanation:
In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:
Null hypothesis:
Alternative hypothesis:
The statistic to check the hypothesis is given by:
And is distributed with n-2 degrees of freedom
And the statistic to check the significance of a coeffcient in a regression is given by:

For this case is importantto remember that t1 and p value for test of slope coefficient is the same test statistic and p value for the correlation test so then the answer would be:
Always
Answer: 15 hours and 37 minutes
Step-by-step explanation: 6 and 1/2 hours is 6 hours and 30 mins
8 and 2/3 hours is 8 hours and 67 mins
So 8 hours + 6 hours is 14 hours
Since 67 minutes is over an hour, we're going to take 60 minutes from 67, leaving u with 7 minutes
Add the 60 minutes to the 14 hours and you get 15 hours.
Take the 7 minutes and add it to the 30 minutes and you get 37 minutes.
All together the answer is 15 hours and 37 minutes
Here: Fraction = 3/5
Let, original fraction (before simplifying) = 3x/5x
Then, 3x + 5x = 40
8x = 40
x = 40/8
x = 5
So, 3x = 3(5) = 15 & 5(5) = 25
In short, Your Answer would be 15/25
Hope this helps!
845 miles / 13 hours = 65 miles per hour
65 miles per hour x 11 hours = 715 miles
The independent variable would be the fixed rate of $3 because the amount for each mile driven changes based on how far they drive