Question

A least squares regression line was calculated to relate the length​ (cm) of newborn boys to their weight in kg. The relationship between Length and Weight has an Rsquared of 58.6​%. Write a sentence​ (in context) summarizing what the Upper R squared says about this regression.

Answer 1

Answer:

58.6% of the variation in length (in cm) of new born boys and their weight (in kg) is explained by the line of best fit.

Step-by-step explanation:

Given the following :

R² value = 58.6% comparing the length (cm) of new born boys to their weight (kg)

The R² value is called the Coefficient of determination. It is obtained by taking the square of the correlation Coefficient (R). The value gives the proportion of Variation between the independent and dependent variables which is explained by regression line. In the scenario above, the R² value means that 58.6% of the variation in length in centimeter of new born boys and their weight (in kg) is explained by the line of best fit. While (100% - 58.6% = 41.4%) is due to other factors.