Data were obtained from the AW Web site for the total fat in

Data were obtained from the A&W Web site for the total fat in grams and the protein content in grams for various items on their menu. Some summary statistics are also provided in Figure 2.

item total fat (grams) protein

23

total fat protein

mean 35.167 32.833

standard deviation 10.591 10.362

correlation r= 0.983

(a) Calculate the slope of the least-squares regression line for total fat on protein.

(b) Calculate the intercept for the least-squares regression line of total fat on protein.

Solution

Using technology, we get              
              
slope =    1.004346476   [ANSWER, PART A]
intercept =    2.19062403   [ANSWER, PART B]  
              
Thus, the regression line is              
              
y^ =    1.004346476   x   +   2.19062403

[You can use the SLOPE and INTERCEPT functions in Excel to do this problem.]