Answer:
For this case the value of r = -0.66
Now we can calculate the determination coeffcient:
And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable
And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable
Step-by-step explanation:
For this case we need to calculate the slope with the following formula:
Where:
And we can find the intercept using this:
And the model obtained for this case is:
The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.
And in order to calculate the correlation coefficient we can use this formula:
For this case the value of r = -0.66
Now we can calculate the determination coeffcient:
And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable
And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable
It's 12/35 because tangent is opposite over adjacent, so 12 is opposite of angle M and 35 is adjacent of angle M
If you want to remember cosine, sine, and tangent just remember
SOH CAH TOA
Answer:
Step-by-step explanation:
Given that a researcher is trying to decide how many people to survey.
We have confidence intervals are intervals with middle value as the mean and on either side margin of error.
Confidence interval = Mean ± Margin of error
Thus confidence interval width depends on margin of error.
Margin of error =
Thus for the same confidence level and std deviation we find margin of error is inversely proportional to square root of sample size.
Hence for small n we get wide intervals.
So if sample size = 300, the researcher will get wider confidence interval
Answer:
16 pi
Step-by-step explanation:
The base is the circle
A = pi r^2
A = pi (4)^2
A = 16 pi
Answer:
its b
Step-by-step explanation: