Question

PLEASE HELP OMG



George has found a relationship between the number of people at an amusement park in the afternoon and the air temperature, in degrees Celsius. The table below shows the data collected by George:

Answer 1

Predict a possible correlation coefficient for the data in the table and explain why you think your prediction is a good value for the data.

Answer 2

Please you have to calculate the correlation coefficient first.
You need to find mean value of temperature and the mean value of number of people

Answer 3

do you know the formula which is used to find the correlation coefficient?

Answer 4

please?

Answer 5

For the temperature, the mean is 24.
For the number of people, the mean is 160

Answer 6

ok! now you have to apply this formula:
\[r=\frac{ [\sum(T _{i} -T _{0})(N _{i}-N _{0})]}{ [\sum (T _{i}-T _{0})^{2}\sum (N _{i}-N _{0})^{2}]^{1/2} }\]
where r is the correlation coefficient, T_0 is the mean of Temperature, N_0 is the mean of number of people

Answer 7

please note that sums are over number of temperature and over number of people

Answer 8

The correlation is -0.9.

Answer 9

@Michele_Laino

Answer 10

ok! now you have to consider absolute value of r, namely 0.9

Answer 11

The absolute value is .9 right?

Answer 12

that's right!

Answer 13

now you should have a table which expresses the probability to have a certain r, with 9 measures, namely the number of temperatures = number of groups of people. Do you have that table?

Answer 14

No. :p

Answer 15

I just need to explain why 0.9 is a good value for the table.

Answer 16

from my table I got this:
the probability to get anr Greater or equal to 0.9 is 0.1%

Answer 17

and we have a correlation "highly significative", because our correlation coefficient is close to -1 since it is -0.9

Answer 18

yes it is!

Answer 19

Thank you! Bye!

Answer 20

Thank you!