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konstantin123 [22]
3 years ago
6

Which is the best estimate of the correlation coefficient for the variables in the scatter plot?

Mathematics
1 answer:
V125BC [204]3 years ago
3 0

By using a scatter plot we can get the relationship of two variables or correlation.

There will be two types of correlation.

If the data of the plot show a positive slope of the estimated line then it will be a positive correlation.

Now a correlation value lie between 0 to 1 if it is very close to 0 like 0.1 , 0.2 then we can say the correlation is weak psitively correlated. and if it will be close to 1 like 0.8 or 0.9 then the correlation will be strong.

Similarly if slope of the estimated line will be negative then it will be a negative correlation.

From the above scatter plot notice that it has a negative slope and we can draw a fair estimate line on this scatter plot. So, there is strong negative correlation.

Hence the correct choice is -0.8.

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Answer:

CLASS     FREQUENCIES     RELATIVE FREQUENCIES

A                        60                                 0.5

B                        12                                  0.1

C                        48                                 0.4

TOTAL              120                                  1

Step-by-step explanation:

Given that;

the frequencies of there alternatives are;

Frequency A = 60

Frequency B = 12

Frequency C = 48

Total = 60 + 12 + 48 = 120

Now to determine our relative frequency, we divide each frequency by the total sum of the given frequencies;

Relative Frequency A = Frequency A / total = 60 / 120 = 0.5

Relative Frequency B = Frequency B / total = 12 / 120 = 0.1

Relative Frequency C = Frequency C / total = 48 / 120 = 0.4

therefore;

CLASS     FREQUENCIES     RELATIVE FREQUENCIES

A                        60                                 0.5

B                        12                                  0.1

C                        48                                 0.4

TOTAL              120                                  1

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