Homework Answers
1) Since the p-value for both factor A and factor B are small, we reject the null hypotheses H0A : no effect of factor A and H0B : no effect of factor B and conclude that factors A and B have significant effect on the response variable.
2) Adjusted R square = 96.77% implies that taking into consideration the number of observations and factors, 96.77% of the total variation is explained by the fitted model.
3)No such problem is noticed.
4) Recommendation is to carry out Tukey's HSD test for pairwise comparison of levels of factor A and factor B to get to know which difference between the pairs of levels is significant (p-value<0.05).
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P2) A what are the conclusions of this experiment? (2) how adequate is the model proposed...
study on Residuals (40 points). Here are the results of an experiment. Please discuss: (1) what...
study on Residuals (40 points). Here are the results of an experiment. Please discuss: (1) what are the conclusions of this experiment t? (2) how adequate is the model proposed here to describe the experimental data? (3) any specific problems-if any- that you notice in the residuals? (4) your recommendations about what should be done next in this study General Linear Model: Response 2 versus Factor A, Factor B Factor Type Levels Values Factor A fixed Factor B fixed 4...
textbook cost is one expense that university students often complain about is the size of the...
textbook cost is one
expense that university students often complain about is the size
of the book( measured by the number of pages) related to the price
of the book( in dollars)
output and the graph
has been posted in the picture.
Q-1 based on the
scatterplot, what can you say about the relationship between pages
and price?
Q-2 state the
regression equation relating predicted price and pages
Q-3 use the regression
equation to find the predicted price y for...
Yes, as it is in the mint abs. NO: 24,46 so 50 is an outlier (g)...
Yes, as it is in the mint abs. NO: 24,46 so 50 is an outlier (g) Find a 95% confidence interval for the slope. Interpret your confidence interval. (h) Test the null hypothesis that the slope is zero and describe your conclusion. (i) Suppose we wish to predict the mean per capita retail sale for the years with per capita personal income 16000. What is the 95% confidence interval for this prediction? 6) If the per capita personal income in...
Scatterplot of PracticeTime vs Age 35 30 Practice Time 25 20 15 5.0 7.5 10.0 12.5...
Scatterplot of PracticeTime vs Age 35 30 Practice Time 25 20 15 5.0 7.5 10.0 12.5 15.0 Age Fitted Line Plot Practice Time = 2.236 + 2.053 Age 35 s R-Sa R-Sqladi) 1.04243 96.7% 96.5% 30 Practice Time 25 20 15 5.0 7.5 10.0 12.5 15.0 Age For children taking piano lessons, we are interested in seeing if there is a relationship between the age of a child (in years) and the amount of time (in minutes) they practice the...
6. (textbook) An analyst fitted a regression model to predict city MPG using as predictors Length...
6. (textbook) An analyst fitted a regression model to predict city MPG using as predictors Length (of car in inches), Width (of car in inches) and Weight (of car in pounds). a. Intuitively, what association do you expect between the explanatory variables and MPG? b. Do you see anything of concern about these variables being used as explanatory variables? Explain S c. What does the matrix plot done in class show you? Explain d. Write the null and alternative hypothesis...
The first photo is the data I had collected in Minitab.I am confused on what the...
The first photo is the data I
had collected in Minitab.I am confused on what the b1= to then get
the degree of freedom. I need this information to answer question
16 to plug in the right information in minitab to get t*multiplier.
Overall need help with getting the answer to #16 so then I can
continue the rest of the problems. Thanks! (also for 17 what is
S.E.)
Regression: icu versus age Simple Analysis of Variance Source DF Adj...
6. Consider the additive two way analysis of variance model where Σα:la.-012b1ßi = 0 and the...
6. Consider the additive two way analysis of variance model where Σα:la.-012b1ßi = 0 and the Eij are independent normal randonn vari- ables with zero means and variance ơ2.Let i-1 (a) Show that are unbiased estimators of the respective parameters. (b) (Devore, 1987) In an experiment to assess the effect of the angle of pull on the force required to separate electrical connectors, four different angles (factor A) were used and each of 5 connectors (factor B) were pulled once...
Model 1: You are undecided about whether to include education (educ) and gender (male) as controls....
Model 1:
You are undecided about whether to include education (educ) and gender (male) as controls. The output from a regression where you exclude education and gender is shown below: MODEL 2: affair бо + 6,relig = reg affair relig df SS MS Number of obs 601 Source F (1, 599) 10.31 Model Residual| Prob > F 0.0014 1.90494147 1.90494147 599 0.0169 110.657455 184736986 R-squared Adj R-squared 0.0153 = Total 112.562396 600 .187603993 .42981 Root MSE Interval] affair Coef Std....
Question 2 (15 marks in total] University students are expected to attend all classes within a...
Question 2 (15 marks in total] University students are expected to attend all classes within a course. But university administrators and teaching staff are aware that student attendance can be adversely impacted by a variety of factors including travel time. Also, when attendance rates drop, there are often concerns expressed that it is students most at risk of performing poorly who are not attending class. To better understand some of these issues, a sample of undergraduate students was drawn from...
Q1 (30 points) Consider Problem 11.45, Page 637. Please note that for this problem the data...
Q1 (30 points) Consider Problem 11.45, Page 637. Please note that for this problem the data will be entered in R as follows: #Enter data on x = Dose Level of Drug, and y = Potency of Drug (Problem 11.45, page 637) x<-c(2, 2, 2, 4, 4, 8, 8, 16, 16, 16, 32, 32, 64, 64, 64) y<-c(5, 7, 3, 10, 14, 15, 17, 20, 21, 19, 23, 29, 28, 31, 30) For this problem, answer the following questions. In...
study on Residuals (40 points). Here are the results of an experiment. Please discuss: (1) what are the conclusions of this experiment t? (2) how adequate is the model proposed here to describe the experimental data? (3) any specific problems-if any- that you notice in the residuals? (4) your recommendations about what should be done next in this study General Linear Model: Response 2 versus Factor A, Factor B Factor Type Levels Values Factor A fixed Factor B fixed 4...
textbook cost is one
expense that university students often complain about is the size
of the book( measured by the number of pages) related to the price
of the book( in dollars)
output and the graph
has been posted in the picture.
Q-1 based on the
scatterplot, what can you say about the relationship between pages
and price?
Q-2 state the
regression equation relating predicted price and pages
Q-3 use the regression
equation to find the predicted price y for...
Yes, as it is in the mint abs. NO: 24,46 so 50 is an outlier (g) Find a 95% confidence interval for the slope. Interpret your confidence interval. (h) Test the null hypothesis that the slope is zero and describe your conclusion. (i) Suppose we wish to predict the mean per capita retail sale for the years with per capita personal income 16000. What is the 95% confidence interval for this prediction? 6) If the per capita personal income in...
Scatterplot of PracticeTime vs Age 35 30 Practice Time 25 20 15 5.0 7.5 10.0 12.5 15.0 Age Fitted Line Plot Practice Time = 2.236 + 2.053 Age 35 s R-Sa R-Sqladi) 1.04243 96.7% 96.5% 30 Practice Time 25 20 15 5.0 7.5 10.0 12.5 15.0 Age For children taking piano lessons, we are interested in seeing if there is a relationship between the age of a child (in years) and the amount of time (in minutes) they practice the...
6. (textbook) An analyst fitted a regression model to predict city MPG using as predictors Length (of car in inches), Width (of car in inches) and Weight (of car in pounds). a. Intuitively, what association do you expect between the explanatory variables and MPG? b. Do you see anything of concern about these variables being used as explanatory variables? Explain S c. What does the matrix plot done in class show you? Explain d. Write the null and alternative hypothesis...
The first photo is the data I
had collected in Minitab.I am confused on what the b1= to then get
the degree of freedom. I need this information to answer question
16 to plug in the right information in minitab to get t*multiplier.
Overall need help with getting the answer to #16 so then I can
continue the rest of the problems. Thanks! (also for 17 what is
S.E.)
Regression: icu versus age Simple Analysis of Variance Source DF Adj...
6. Consider the additive two way analysis of variance model where Σα:la.-012b1ßi = 0 and the Eij are independent normal randonn vari- ables with zero means and variance ơ2.Let i-1 (a) Show that are unbiased estimators of the respective parameters. (b) (Devore, 1987) In an experiment to assess the effect of the angle of pull on the force required to separate electrical connectors, four different angles (factor A) were used and each of 5 connectors (factor B) were pulled once...
Model 1:
You are undecided about whether to include education (educ) and gender (male) as controls. The output from a regression where you exclude education and gender is shown below: MODEL 2: affair бо + 6,relig = reg affair relig df SS MS Number of obs 601 Source F (1, 599) 10.31 Model Residual| Prob > F 0.0014 1.90494147 1.90494147 599 0.0169 110.657455 184736986 R-squared Adj R-squared 0.0153 = Total 112.562396 600 .187603993 .42981 Root MSE Interval] affair Coef Std....
Question 2 (15 marks in total] University students are expected to attend all classes within a course. But university administrators and teaching staff are aware that student attendance can be adversely impacted by a variety of factors including travel time. Also, when attendance rates drop, there are often concerns expressed that it is students most at risk of performing poorly who are not attending class. To better understand some of these issues, a sample of undergraduate students was drawn from...
Q1 (30 points) Consider Problem 11.45, Page 637. Please note that for this problem the data will be entered in R as follows: #Enter data on x = Dose Level of Drug, and y = Potency of Drug (Problem 11.45, page 637) x<-c(2, 2, 2, 4, 4, 8, 8, 16, 16, 16, 32, 32, 64, 64, 64) y<-c(5, 7, 3, 10, 14, 15, 17, 20, 21, 19, 23, 29, 28, 31, 30) For this problem, answer the following questions. In...
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