Question

A scatterplot for the two variables x and y is shown below: Suppose you encounter a new data point (not shown) with x = 6. What would you predict its y value will be?

Answer 1

For a given least squares regression line y = 5 + 0.3x, the predicted y value for x = 6 would be 6.8.

Step-by-step explanation:

If a new data point with x = 6 is encountered in a scatter plot, and you are provided with the least squares regression line equation y = 5 + 0.3x, you can predict the y value by substituting x into the equation. Therefore, the predicted y value is calculated as follows: y = 5 + 0.3(6). Performing the multiplication 0.3 times 6 gives us 1.8, and adding 5 to this gives us a sum of 6.8. So, the predicted y value when x is 6 would be 6.8.