Question

data to the right to complete parts​ (a) through​ (d) below.		Percentage Who
		​Won't Try Sushi (x)	​Don't Approve of Marriage Equality (y)
	Generation	x	y
	Millennials	46	44
	Gen X	49	44
	Boomers	58	56
	​Silent/Greatest Generation	77	75

a. Determine the correlation coefficient between the percentage of people who​ won't try sushi and the percentage who do not approve of marriage equality.

r = ?

​(Do not round until the final answer. Then round to two decimal places as​ needed.)

b. What explanations can you offer for the correlation coefficient in part​ (a)? Choose the correct answer below.

A.

Unwillingness to try sushi and disapproval of marriage equality have no correlation.

B.

Unwillingness to try sushi and disapproval of marriage equality have a strong negative correlation.

C.

Unwillingness to try sushi and disapproval of marriage equality have a weak positive correlation.

D.

Unwillingness to try sushi and disapproval of marriage equality have a strong positive correlation.

c. Find the equation of the regression line for the percentage who​ won't try sushi and the percentage who​ don't approve of marriage equality.

y = __x+(___)

​(Round to two decimal places as​ needed.)

d. What percentage of people can we anticipate do not approve of marriage equality in a generation where 32​%

​won't try​ sushi?About _____ % ​won't approve of marriage equality.

​(Round to the nearest percent as​ needed.)

Answer 1

( a )

Answer : r = 1.00

( b )

Answer : Option ( B )

Unwillingness to try sushi and disapproval of marriage equality have a strong negative correlation.

( c )

Answer : y = 1.04 x + ( -5.26)

( d )

r2 = ( 1.00)2 = 1

About 100 % ​won't approve of marriage equality.