b. See the explanation for the graph. The y-intercept is a small positive umber so it makes sense since the y-intercept corresponds to the height of a newborn baby which would be a small positive number compared to the heights of adults.
Using the health records of ever student at a high school, the school nurse created a scatterplot relating y = height (in centimeters) to x = age (in years). After verifying that the conditions for the regression model were met, the nurse calculated the equation of the population regression line to be &\(\mu;0=105+4.2x\) with &\(\sigma;=7\) cm. According to the population regression line, what is the average height of 15-year-old students at this high school?
Make a scatterplot for each set of data. Tell whether the data show a linear association or a nonlinear association.
\((1,\ 2),\ (7,\ 9.5),\ (4,\ 7),\ (2,\ 4.2),\ (6,\ 8.25),\ (3,\ 5.8),\ (5,\ 8),\ (8,\ 10),\ (0,\ 0)\)