When an anthropologist finds skeletal remains, they need to figure out the height of the person. The height of a person (in cm) and the length of their metacarpal bone (in cm) were collected for 22 sets of skeletal remains. The data are in the table below.

xx, length of metacarpal (in cm)	yy, height (in cm)
39	159
41	162
47	172
48	171
46	169
50	178
44	173
43	177
44	171
42	165
49	170
52	176
46	175
45	173
47	171
43	170
51	180
48	174
41	165
47	175
40	163
42	175

a) State the random variables.

rv xx= Select an answer the mean height the height the mean length of metacarpal the length of metacarpal a randomly selected set of skeletal remains all sets of skeletal remains of Select an answer all sets of skeletal remains the height a randomly selected set of skeletal remains the mean height the length of metacarpal the mean length of metacarpal

rv yy= Select an answer a randomly selected set of skeletal remains the mean length of metacarpal the length of metacarpal all sets of skeletal remains the height the mean height of Select an answer the length of metacarpal the height all sets of skeletal remains a randomly selected set of skeletal remains the mean height the mean length of metacarpal b) Make a scatterplot of xx versus yy in StatCrunch. Which of the following is the correct graph?

• Scatterplot:
• Scatterplot:
• Scatterplot:

c)Find the equation of the best-fitting line (the least squares regression equation).

Round values to 2decimal places.

equation: Select an answer X p p y s N y n x = 121.10 + 1.10 *xx

d) Interpret the slope from part c in the context of this problem. (Pay attention to the units...type carefully since spelling will count.)

• Every time we increase Select an answer the mean height the height the mean length of metacarpal the length of metacarpal a randomly selected set of skeletal remains all sets of skeletal remains by 1.10 we can expect Select an answer all sets of skeletal remains the mean height a randomly selected set of skeletal remains the height the mean length of metacarpal the length of metacarpal to Select an answer decrease increase by 121.10 on average.

e) Interpret the Y-intercept from part c in the context of this problem. Include units...type carefully since spelling will count.

• When Select an answer set of skeletal remains sets of skeletal remains length of metacarpal height is , we expect Select an answer a randomly selected set of skeletal remains the height the mean length of metacarpal the length of metacarpal all sets of skeletal remains the mean height to be

Does it make sense to interpret the y-intercept on this problem?

Why or why not? Select an answer yes, since X = 0 is between Xmin and Xmax yes, since X = 0 is not between Xmin and Xmax yes, since Y = 0 is between Ymin and Ymax yes, since Y = 0 is not between Ymin and Ymax no, since X = 0 is between Xmin and Xmax no, since X = 0 is not between Xmin and Xmax no, since Y = 0 is between Ymin and Ymax no, since Y = 0 is not between Ymin and Ymax f) Should you use the regression equation to predict the height of a randomly selected set of skeletal remains that has a length of metacarpal of 49 cm?

Select an answer no, this X-value is not between Xmin and Xmax yes, this X-value is between Xmin and Xmax yes, you can use the regression equation for any value of X Should you use the regression equation to predict the height of a randomly selected set of skeletal remains that has a length of metacarpal of 62 cm?

Select an answer yes, this X-value is between Xmin and Xmax no, this X-value is not between Xmin and Xmax yes, you can use the regression equation for any value of X Looking at your answers above, predict the height for the one above that it made sense to do so.

Make sure you use the stored equation and not the rounded equation from part c.

Round final answer to 2decimal places.

• The predicted height for a randomly selected set of skeletal remains that has a length of metacarpal of cm is