Question

The table shows the total 4-year cost (in thousands of dollars) and the Graduation rate (nearest percentage) from 4 randomly selected colleges/universities in the U.S. Cost, x 129 104 88 69 Graduation Rate, y 45 62 30 35 The mean of x is 97.5 The standard deviation of x is 25.410 The mean of y is 43 The standard deviation of y is 14.119 The deviations and the z-scores for each x and y value are given below: (x - x̄ ) (y - ȳ ) (Zx) (Zy)

31.5 | 2 | 1.240 | 0.142 | ||

6.5 | 19 | 0.256 | 1.346 | ||

-9.5 | -13 | -0.374 | -0.921 | ||

-28.5 |

a) Show the equations along with plugging the values into the corresponding equation on how the mean of the y values and the standard deviation of the y values were obtained. You may use a table above to help you with the standard deviation. b) Find the correlation coefficient. You may use any of the tables above for help or any other equation method (Just stating the answer from a graphing calculator/technology will receive only 0 or 1 point for this question). Round the answer to 3 decimal places.

Answer #1

The table shows the total 4-year cost (in thousands of dollars)
and the Graduation rate (nearest percentage) from 4 randomly
selected colleges/universities in the U.S.
Cost, x
250
138
81
85
Graduation Rate, y
83
92
57
32
The mean of x is 138.5 The standard deviation of x is
78.742
The mean of y is 66 The standard deviation of y is
27.092
The deviations and the z-scores for each x and y value are given
below: Note: I...

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.
The relationship between median SAT score and graduation rate
is ? positive negative , ? weak strong ,
and ? linear non-linear .
2. The explanatory variable is ? graduation...

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