I need help with AP Statistics ! I'll give brainliest , thanks and 30 points ! 1. A student wonders if there is a relationship between foot length and height. She measures herself and six classmates and produces the following data (heights and foot lengths are in centimeters):

Height 158 160 149 169 152 150 157
Foot Length 17 20 15 18 12 13 16

(a) Is there a clear explanatory variable and response variable in this setting? If so, tell
which is which. If not, explain why not.

(b) Make a well-labeled scatterplot of these data.

(c) Based on the scatterplot, describe the pattern, if any, in the relationship between the heights and foot lengths of these students.

(d) Use your calculator to find the correlation r between the height and foot length. Do the data show any evidence of a relationship between these two variables? Explain.

(e) How would r change if :
• all the heights were reduced by 5 centimeters?
• heights were measured in inches rather than centimeters? (There are 2.54 centimeters in an inch.)

(f) Suppose another student with foot length 19 cm. and height 167 cm. were added to the data. How would this influence r?