In: Statistics and Probability
1)
Find the correlation coefficient r for the given table below and use it to determine if there is a Strong Negative or Strong Positive or Weak Negative or Weak Positive correlation. (Check your spelling!)
PSAT | 183 | 207 | 167 | 206 | 197 | 142 | 193 | 176 |
SAT | 2200 | 2040 | 1890 | 2380 | 12290 | 2070 | 2370 | 1980 |
2)
Find the correlation coefficient r for the given table below. (Round to the nearest thousandth) (ONLY TYPE IN THE NUMBER!)
x | 10 | 8 | 13 | 9 | 11 | 14 | 6 | 4 | 12 | 7 | 5 |
y | 9.14 | 8.14 | 8.74 | 8.77 | 9.26 | 8.10 | 6.13 | 3.10 | 9.13 | 7.26 | 4.74 |
3)
Find the correlation coefficient r for the given table below and use it to determine if there is a Strong Negative or Strong Positive or Weak Negative or Weak Positive correlation. (Check your spelling!)
x | 230 | 265 | 358 | 480 | 530 |
y | 15.9 | 15.7 | 15.4 | 15.3 | 14.9 |
4) Find the area under the standard normal to the right of
z = -1.50 and to the left of z = 2.50 (Round answer to the nearest
ten-thousandths.)
5) Find the area under the standard normal to the right of z = 1. (Round answer to the nearest ten-thousandths.)
Dear student, we can provide you with the solution of one type of question at a time. But for your reference I will do 1 and 2 here
1) Let PSat be the X variable.
Sat be the Y variable.
You can find the solution in the following steps
There is a Weak Positive Correlation.
as the correlation calculated is close to 0 and positive
2)
We have to round the correlation coefficient to three decimal places. hence the answer is r = 0.816