for the table that follows: answer the following questions:

x y
1 -1/4
2 -1/2
3 -3/4
4 ?

* would the correlation between x and y in the table show above be positive or negative? i think that it would be negative, i am not sure that is correct?

* find the value of y in the table? i think that it is 4/4 or 1, is that correct?

* how would the values of this table be interpreted i terms of linear regression? please explain.

thank you. mary hornbeck

When x increases by 1, y increases by 1/4. 1 is correct, but if both variables increase, is that a positive or negative correlation?

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To determine the correlation between x and y in the table, we need to examine the pattern in the relationship between the values of x and y. In this case, as x increases, y decreases, which suggests a negative correlation. So, your answer that the correlation is negative is correct.

To find the value of y in the table for x = 4, we can observe the pattern in the y column. As x increases by 1 each time, y decreases by 1/4. Hence, when x = 4, we subtract 3/4 from the previous value (-3/4) to get -1. Therefore, the value of y for x = 4 is -1.

In terms of linear regression, this table displays a negative linear relationship between x and y. As x increases, y decreases at a constant rate. By fitting a line to these data points using linear regression, we can estimate the relationship between x and y and predict the value of y for any given value of x.