21. A college professor recorded the speed with which students ran out the door after class after taking the final exam (using a
radar gun) for each of the last 4 semesters. The histogram below shows the distribution of speed for 168 students. The maximum value is 18 mph.
The value, 18 mph, was actually supposed to be 8 mph and this error is corrected. Which of the following is true?
(A) The mean will change the same amount as than the median, and the range will change the same amount as the SD.
(B) The mean will change more than the median, and the range will change more than the SD.
(C) The median will change more than the mean, and the range will change more than the SD.
(D) The mean will change more than the median, and the SD will change more than the range.
(E) The median will change more than the mean, and the SD will change more than the range.
The value, 18 mph, was actually supposed to be 8 mph and this error is corrected. Which of the following is true?
(A) The mean will change the same amount as than the median, and the range will change the same amount as the SD.
(B) The mean will change more than the median, and the range will change more than the SD.
(C) The median will change more than the mean, and the range will change more than the SD.
(D) The mean will change more than the median, and the SD will change more than the range.
(E) The median will change more than the mean, and the SD will change more than the range.
1 answer:
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Answer:
The correlation coeffcient for this case was provided:
r =0.934
And this coefficient is very near to 1 the maximum possible value, so then we can interpret that the relationship between the entrace exam score and the grade point average are strongly linearly correlated .
We can also find the who represent the determination coefficient and we got:
And the interpretation for this is that a linear model explains appproximately 87.2% of the variability between the two variables
Step-by-step explanation:
Previous concepts
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:
The correlation coeffcient for this case was provided:
r =0.934
And this coefficient is very near to 1 the maximum possible value, so then we can interpret that the relationship between the entrace exam score and the grade point average are strongly linearly correlated .
We can also find the who represent the determination coefficient and we got:
And the interpretation for this is that a linear model explains appproximately 87.2% of the variability between the two variables