Final answer:
The regression equation is used to predict values based on a linear relationship between two variables. The provided equation f(x) = 6.5x + 6 has a slope of 6.5, indicating the change in height per unit of pinky finger length, with a y-intercept of 6, representing the predicted height when the finger length is zero.
Step-by-step explanation:
The student's question pertains to the creation and interpretation of a regression equation from a set of data.
The equation of the line of best fit provided, f(x) = 6.5x + 6, allows us to make predictions based on this model. The slope of the line, which is 6.5, indicates the rate of change between the dependent and independent variables.
In this context, it would represent the change in the predicted value (e.g., height) for each unit increase in the independent variable (e.g., pinky finger length).
The y-intercept of the line is 6, which is the predicted value when the independent variable has a value of 0. To predict the height for a pinky length of 2.5 inches, we would substitute x = 2.5 into the equation to find f(2.5) = 6.5(2.5) + 6,
which simplifies to f(2.5) = 16.25 + 6 = 22.25 units of height, assuming the units of the dependent variable are consistent with the data collected.
Your complete question is: Kevin has uncontrollable hiccups. He decides to keep track of the total number of hiccups by recording his new total each minute and graphing a scatterplot with his data.. If the line of best fit can be modeled by the equation f(x)=6.5x+6 , answer questions 8 through 10. 8 8. Interpret the slope in context. 20