Question

In: Statistics and Probability

Question 1 a) For the data in Homework 2, Question 1 Size (Xi) 12 15 18...

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.

Solutions

Expert Solution

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.

orchestra answered 2 years ago
Next > < Previous

Related Solutions

4. Data (Xi) : 10 12 14 15 17 18 18 24 30 62 71...90 Find...
4. Data (Xi) : 10 12 14 15 17 18 18 24 30 62 71...90 Find the Z distribution. Find the Normal probability plot. Conclusions is the Z distribution Skewed.
Question 1 a) For the data in Homework 2, Question 1, calculate the ANOVA table. Use...
Question 1 a) For the data in Homework 2, Question 1, calculate the ANOVA table. Use the ANOVA Table to conduct an F-Test to see if the model is significant (use α = 0.05). Data: Size (Xi) 12 15 18 21 24 27 Price (Yi) 60 85 75 105 120 110 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...
Consider the data. xi 3 12 6 20 14 yi 60 35 55 15 15 The...
Consider the data. xi 3 12 6 20 14 yi 60 35 55 15 15 The estimated regression equation for these data is ŷ = 69 − 3x. (a) : Compute SSE, SST, and SSR using equations SSE = Σ(yi − ŷi)2, SST = Σ(yi − y)2, and SSR = Σ(ŷi − y)2. SSE= SST= SSR= (b) Compute the coefficient of determination r2 (Round your answer to three decimal places.) r2 = Comment on the goodness of fit. (For purposes...
Given are data for two variables, x and y. xi 6 11 15 18 20 yi...
Given are data for two variables, x and y. xi 6 11 15 18 20 yi 7 7 13 21 30 (a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.) ŷ = (b)Compute the residuals. (Round your answers to two decimal places.) xi yi Residuals 6 7 11 7 15 13 18 21 20 30 (c)Develop a plot of the residuals against the independent variable x. a) A residual plot has 5...
Given are data for two variables, x and y. xi 6 11 15 18 20 yi...
Given are data for two variables, x and y. xi 6 11 15 18 20 yi 6 8 12 20 30 Use the facts that ̄x= 14, ̄y= 15.2, ˆy=−7.02 + 1.59x, Σ(xi − ̄x)^2 = 126, and s= 4.88. a. Compute the residuals. b. Plot the residuals against x. Do the assumptions about the error terms seem to be satisfied? c. Compute the standardized residuals.
Given are data for two variables, x and y. xi 6 11 15 18 20 yi...
Given are data for two variables, x and y. xi 6 11 15 18 20 yi 5 9 12 19 30 (a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.) ŷ =   (b) Compute the residuals. (Round your answers to two decimal places.) xi yi Residuals 6 5 11 9 15 12 18 19 20 30 (d) Compute the standardized residuals. (Round your answers to two decimal places.) xi yi Standardized Residuals...
Given are data for two variables, x and y. xi 6 11 15 18 20 yi...
Given are data for two variables, x and y. xi 6 11 15 18 20 yi 5 9 12 21 30 (a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.) ŷ = 1.66x−7.82 (b) Compute the residuals. (Round your answers to two decimal places.) xi yi Residuals 6 5 11 9 15 12 18 21 20 30 (c) Develop a plot of the residuals against the independent variable x. A residual plot...
Week 1 2 3 4 5 6 Value 18 14 17 12 18 15 Calculate the...
Week 1 2 3 4 5 6 Value 18 14 17 12 18 15 Calculate the measures of forecast error using the naive (most recent value) method and the average of historical data (to 2 decimals). Naive method Historical data Mean absolute error Mean squared error Mean absolute percentage error
Consider the data. xi 1 2 3 4 5 yi 4 7 5 11 15 The...
Consider the data. xi 1 2 3 4 5 yi 4 7 5 11 15 The estimated regression equation for these data is  ŷ = 0.60 + 2.60x. (a)Compute SSE, SST, and SSR using equations SSE = Σ(yi − ŷi)2, SST = Σ(yi − y)2, and SSR = Σ(ŷi − y)2. SSE=SST=SSR= (b) Compute the coefficient of determination r2. r2 = Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least...
A data set contains the following seven values. 15 5 11 18 2 8 12 (Round...
A data set contains the following seven values. 15 5 11 18 2 8 12 (Round the intermediate values to 4 decimal places.) a. Find the range. b. Find the mean absolute deviation. (Round your answer to 4 decimal places.) c. Find the population variance. (Round your answer to 4 decimal places.) d. Find the population standard deviation. (Round your answer to 4 decimal places.) e. Find the interquartile range. f. Find the z score for each value. (Round your...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT