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 | 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 tried my best with the tables below.
BlackBoard has some issues with some of the font and symbols that
were used.**

(x - x̄ ) |
(y - ȳ ) |
Zx | Zy | ||

111.5 | 17 | 1.416 | 0.627 | ||

-0.5 | 26 | -0.006 | 0.960 | ||

-57.5 | -9 | -0.730 | -0.332 | ||

-53.5 | -34 | -0.679 | -1.255 |

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

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