Problem 14E

A scatterplot contains four points: (-2,-2), (-1,-1), (0,0), and (1,1). A fifth point, (2,y), is to be added to the plot. Let r represent the correlation between x and y.

a. Find the value of y so that r = 1.

b. Find the value of y so that r = 0.

c. Find the value of y so that r = 0.5.

d. Find the value of y so that r = −0.5.

e. Give a geometric argument to show that there is no value ofy for which r =−1.

LECTURE NOTES Lecture 2 Overarching Themes - people construct their own reality – everyone has their own interpretation o construals = constructions of reality o interpreting, meaning making o ambiguous situations often lead to different interpretation (we will focus on social situation in this class) - social influence is pervasive (and often invisible) o ex. People don’t sit next to others when there are many empty seats on the Bart o ex. Students from Cal will have different construal from Stanford students during a football game Motivational Principles - need for understanding and control (includes need for accuracy) - need to feel good about “me & mine” - anything tha