Question

Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line.

x 11 12 4 6 13 14 8 10 7 5 9
y 18.69 19.17 6.13 11.37 19.31 19.31 15.28 17.88 13.49 8.91 16.75

Required:
Create a scatterplot of the data.

Answer 1

Ŷ = 1.3082X + 3.3436

Explanation:

Given the data :

X : 11, 12, 4, 6, 13, 14, 8, 10, 7, 5, 9

Y : 18.69, 19.17, 6.13, 11.37, 19.31, 19.31, 15.28, 17.88, 13.49, 8.91, 16.75

Using technology, the data above gave the resulting linear regression model :

Ŷ = 1.3082X + 3.3436

Slope of model = 1.3082

Intercept = 3.3436

Scatter plot is attached below :