For the table that follows, answer the following questions:

x y
1 -8
2 -11
3 -14
4


- Would the correlation between x and y in the table above be positive or negative?

- Find the missing value of y in the table.

- How would the values of this table be interpreted in terms of linear regression?

- If a “line of best fit” is placed among these points plotted on a coordinate system, would the slope of this line be positive or negative?

1 answer

Positive correlation means both variables increase/decrease together. Negative correlation means one variable increases while the other decreases.

What is the consistent difference between the y values to determine the missing value?

How good is the predictability of y from x?

Slope value (±) is the same as the correlation value (±).