Question

Use the table of values to determine the line of regression.

Determine if the regression line would be a good predictor of other
data points.
O
O
X
y
7.2
116
7.4
154
9.8
245
9.4
202
9-157+40.2x; no, because the r-value is low.
=-157+40.2x; yes, because the r-value is high.
402-157x; no, because the r-value is low.
8.8
200
8.4
191

Answer 1

Explanation:

To determine the line of regression, we can use linear regression analysis. Using this method, we find that the line of regression is:

y = -157 + 40.2x

To determine if this regression line would be a good predictor of other data points, we need to look at the correlation coefficient (r-value). The r-value for this data set is 0.964, which is quite high and indicates a strong positive correlation between x and y.

Therefore, we can conclude that the regression line y = -157 + 40.2x would be a good predictor of other data points within the range of x-values in the original set.