In: Statistics and Probability
Question 1
a) For the data in Homework 2, Question 1
Size (Xi) |
12 |
15 |
18 |
21 |
24 |
27 |
Price (Yi) |
60 |
85 |
75 |
105 |
120 |
110 |
a) calculate the ANOVA table. Use the ANOVA Table to conduct an F-Test to see if the model is significant (use α = 0.05)
b) Give a 95% confidence interval for the mean sale price for 2000 sq. ft. houses.
c) Give a 95% prediction interval for the sale price of an individual 2000 sq. ft. house.
d) For the data in Homework 2, Question 2 calculate the ANOVA table for the data. Use the ANOVA Table to conduct an F-Test to see if the model is significant (use α = 0.05) (data provided below)
dollars |
satisfaction |
11 |
6 |
18 |
8 |
17 |
10 |
15 |
4 |
9 |
9 |
5 |
6 |
12 |
3 |
19 |
5 |
22 |
2 |
25 |
10 |
Thank you so much! Just want to check my answers.
Q1.
a.
Value of F statistic=16.28846, p-value=0.0157<0.05.
So the model is significant.
b.
d.
From ANOVA table we see that value of F statistic=0.047027, p-value=0.8337>0.05.
Hence the model is insignificant.