Question

A particular professor has noticed that the number of people, y, who complain about his attitude is dependent on the number o


d) Interpret the meaning of the slope of your formula in the context of the problem I e) Interpret the meaning of the y inter
0 0
Add a comment Improve this question Transcribed image text
Answer #1

The necessary calculations done below, where x: Cups of coffee, y=People

Obs 1 2 3 4 5 6 7 8 Cups of coffee People(y) s1=(x-xbar)^2 s2ly-ybar) 2 s3=(x-xbar)*y- 1 12 4.5156 22.5625 -10.09375 1 11 4.5

a) b= sum(s3)/sum(s1) = Sxy/Sxx= -36.25/18.8748 = -1.920

here xbar= mean(x) = 3.125 , ybar=mean(y)=7.25

a= ybar-b*xbar = 7.25 -(-1.920)*(3.125) = 13.252

Therefore linear eqaution of yhat is

yhat= 13.252 -1.920*x

b) Correlation coefficient(r)

r= sum((x-xbar)*(y-ybar))/ sqrt(sum((x-xbar)^2)*sum((y-ybar)^2) = sum(s3)/sqrt(sum(s1)*(sum(s2))

= -36.25/ sqrt(18.8748*73.5)

r=-0.9732

c) r= -0.9732, suggest that there is strong linear trend.

d) slope=b= -1.920 , When unit change in number of coffee cups we expect the people that complain about profeesor's attitude will decreases by 1.92.

e) intercept= a= 13.252, When there no coffee cups then we expect the on average there are 13.252 people that complain about profeesor's attitude.

f) The number of coffee cups is the 8 then the predicted people is

yhat= 13.252 -1.920*x

yhat= 13.252 -1.920*8

       =-2.1126

The number of coffee cups is the 8 then the predicted people that complain about profeesor's attitude is -2.1126

g) The prediction is not resonable, beacuse value of number of people is never negative.

Add a comment
Know the answer?
Add Answer to:
A particular professor has noticed that the number of people, y, who complain about his attitude...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT