Your task this week is to make up data for 12 imaginary ten-year old boys, enter that data and compose a scatterplot (with trendline), compute a least-squares line and determine the correlation coefficient. Note that ten-year old boys range in height between 42 and 62 inches. Weights are typically between 60 and 90 pounds.
- Scatterplot showing WEIGHT on the vertical (y) axis
- Equation of Best-fit line (e.g. Weight = 40.5 + 2.5 (height)
- R^2 value
- R (correlation) – this is just the square root of the R^2.
You may use any technology you like. I suggest using either Excel or an online regression calculator like https://keisan.casio.com/exec/system/14059929550941 or https://www.graphpad.com/quickcalcs/linear1/
Upload your scatterplot and regression output using the picture tool, then answer the following questions:
- What does the correlation say about the relationship between the height and weight
- Describe a real-world scenario where you might use least-squares regression to describe a relationship or make a prediction.