Answer
(a) Scatter plot shown in image
(b) $y = 1.88074x + 82.64974$. Regression line shown in image.
(c) $182.3$ cm
Work Step by Step
(a) Plot the points from the table.
(b) Using technology, a regression line equation is found with $m \approx 1.88074$ and $b \approx 82.64974$. Thus the equation is:
$y = 1.88074x + 82.64974$
Points are plotted from this function and joined to find the graph.
(c) 53 cm is input into the equation in (b).
$y=(1.88074)(53)+82.64974 \approx 182.3$
