Question

This Question: 1 pt 11 of 15 (6 complete) Use the data to the right to complete parts (a) through (d) below. Percentage Who Won't Try Don't Approve o Sushi Marriage Equality eneration illenials en X 45 56 64 ilent/Greatest75 39 47 59 64 Generation 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. ra (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 a strong positive correlation. B. ° C. 0 D. unwillingness to try sushi and disapproval of marriage equality have a strong negative correlation. Unwillingness to try sushi and disapproval of marriage equality have a weak positive correlation. Unwillingness to try sushi and disapproval of marriage oquality have no correlator. 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 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 30% won't try sushi? About DJs won't approve of marriage equality. Click to select your answerfs).

Answer 1

a. 0.98

We can use following R code to get above answer :

> x<-c(45,56,64,75)
> y<-c(39,47,59,64)
> cor(x,y)
[1] 0.9797194

b. A. ..... have a strong Positive Correlation

Clear from answer a.

c. y = 0.88 x - 0.4056

Following R code can give this answer :

> lm1<-lm(y~x)
> lm1

Call:
lm(formula = y ~ x)

Coefficients:
(Intercept) x
-0.4056 0.8776

d. 25.99 % won't approve marriage equality.

Plug in 30% in equation derived in c.