6. The recorded graduation rate for Northern Michigan University is 48.4. Complete the following sentence. The residual for Northern Michigan University is . This means the graduation rate at Northern Michigan University is O A. lower than OB. the same as OC. higher than the rate predicted by the regression model.
6. The recorded graduation rate for Northern Michigan University is 48.4. Complete the following sentence. The residual for Northern Michigan University is . This means the graduation rate at Northern Michigan University is O A. lower than OB. the same as OC. higher than the rate predicted by the regression model.
6. The recorded graduation rate for Northern Michigan University is 48.4. Complete the following sentence. The residual for Northern Michigan University is . This means the graduation rate at Northern Michigan University is O A. lower than OB. the same as OC. higher than the rate predicted by the regression model.
College Graduation Rates. Data from the College Results Online website compared the 2011 graduation rate and median SAT score for 92 similar-sized public universities and colleges in the United States. The scatterplot below shows the relationship between these two variables along with the least squares fit. Round all calculated results to 4 decimal places.
I ONLY need help with question 6.
Transcribed Image Text:Graduation Rate by Median SAT
900
1000
1100
1200
1300
Median SAT
1. The relationship between median SAT score and graduation rate is positive v
strong v
and linear
2. The explanatory variable is median SAT
v and the response variable is graduation rate v
The summary statistics for graduation rate and median SAT score are listed below. The correlation between graduation rate and median SAT score is
0.652.
Median SAT score: mean =
1024.3, standard deviation = 80.7
Graduation rate: mean =
49.4, standard deviation
14.4
3. The equation of the regression line is y =
-69.7261
0.1163
X
4. Complete the following sentence to interpret the slope of the regression line:
An increase of
1
in Median SAT score corresponds to a/an increase
v of 0.1163
in Graduation Rate.
5. The recorded median SAT score for Northern Michigan University is 1028. Use the regression equation to estimate the graduation rate for Northern
Michigan University. 49.8303
06
08
09
09
20 30
Graduation Rate
Transcribed Image Text:6. The recorded graduation rate for Northern Michigan University is 48.4. Complete the following sentence.
The residual for Northern Michigan University is
This means the graduation rate at Northern Michigan University is
A. lower than
B. the same as
C. higher than
the rate predicted by the regression model.
7. Stanford University (an elite private university in California not included in this data set) has a median SAT score of 1455. Would it be appropriate to
use this linear model to predict the graduation rate for Stanford?
A. Yes, because 1455 is a reasonable median SAT score for an elite university.
B. No, because 1455 is beyond the range of the data used to build the regression model.
C. No, because 99.509% is too large to be a reasonable graduation rate, even for an elite university.
Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.
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