An experiment was conducted to determine how roasting time f

An experiment was conducted to determine how roasting time for a turkey depends on the turkey’s weight. Sixteen stuffed turkeys that ranged in weight from 9 to 24 pounds were roasted individually in a 325 ? F oven until the internal temperature reached 165 ? F and the total roasting time for each turkey was recorded. Summary statistics were computed as shown below, where X is the weight of the turkey in pounds and Y is the roasting time in minutes. Construct the fitted regression line for this data and interpret the meaning of the slope.

Meaning of slope:

x 264 5%2 = 4696 y = 5247 y2 = 1809849 xy 91917

Solution

Regression Equation(y) = a + bx

Slope(b) = (NXY - (X)(Y)) / (NX²- (X)²) =(16*91917-(264)(5247))/(16*4696-(264)²)=15.71029

Intercept(a) = (Y - b(X)) / N=(5247-15.71029*264)/16=68.7177

Slope and intercept of the regression line. The slope indicates the steepness of a line and the intercept indicates the location where it intersects an axis. The slope and the intercept define the linear relationship between two variables, and can be used to estimate an average rate of change.