Which model is the “best” at predicting response, y?Justification: JMP OUTPUT- #21-24ModelNumber RSquareRMSECpx210.9566 19.16692.0888x310.7637 44.751182.6080This highlightx110.0257 90.8632390.5179does not meanx2,x30.9604 18.86122.5432anything. It isjust a quirk ofх1,х220.9578 19.46613.6213х1,x320.7637 46.043984.5881JMP.х1,x2,x330.9617 19.11984.0000Figure 1: Table of Possible Predictive ModelsParameter EstimatesTermEstimate Std Error t Ratio Prob> |t|VIFIntercept 9.600283738.541010.250.8067х1-1.2168781.188857-1.020.32231.0660932x25.39780720.562969.59<.0001* 3.9067774x3-1.374817 1.720724-0.800.436815.600942x41.34199330.7897781.700.109913.067958Figure 2: Parameter Estimates for x1, x2, x3, and x46-6-Positive44-4.-4-NegativeNegative-6--6--830.032.535.0-830.032.535.0Figure 3: Studentized Residual Plots A (Left) and B (Right)SLR Residual in YQR Residual in Y

Root Mean Square Error (RMSE) is the standard deviation of the residuals (prediction errors) which is a measure of how far from the regression line data points are. RMSE is a measure of how scattered out these residuals are that is it tells us how concentrated the data is around the line of best fit. Also, the general consensus about Mallow's CP is that smaller the Cp values are the better as they indicate smaller amounts of unexplained error. Here, the best model at predicting response, y is given as: Model Number RSquare RMSE CP x2, x3 2 0.9604 18.8612 2.5432 where, RMSE and CP is least for the chosen model in comparison to other models.

Answered: Which model is the “best” at predicting…

Math

Statistics

Which model is the “best” at predicting response, y? Justification:

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: The boxplots below display annual incomes (in thousands of dollars) of households in two cities.…

A: Given Information: The box-plot representation of the annual incomes of households in two cities.

Q: Directions: Some HEDU students went on a picnic. On the way back to school, some students didn't…

A: Given :There were 200 students that attended.To Find :Identify the likely source of the salmonella…

Q: Give an example of two independent samples. For example in testing whether a new drug works, the…

A: There are many applications based on the independent samples in a continuous scale. The independent…

Q: Differentiate between the types of data. You find some public records about customer satisfaction in…

A: According to the given information, Given that some public records about customer satisfaction in…

Q: 10 11 12 13 14 15 16 17 18 19 data Based on the boxplot above, what is the value for the Q3?

A: A box-plot is graphical method of displaying the distribution of data based on five number summary-…

Q: Do US college students read the local newspaper? To investigate the question a random sample of 500…

Q: Translate Every year, the students ata school are given a musical aptitude test that rates them from…

A: Calculation: The Mean aptitude score is,

Q: The following data table is organized using which method? Men's Ages Women's Ages 35 42 39 33 41 37…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Classify the data as either discrete or continuous. What type of data is provided by the statement…

A: Definition Discrete data : Discrete data set is the data in which value is countable and finite.…

Q: Does exposure to classical music (through instrument lessons or concert attendance) improve a…

A: Here we are trying to test whether exposure to classical music improve child's scholastic…

Q: Here is a chart showing how many people are non-smokers, occasional smokers, and heavy smokers by…

A: Note:Hey there! Thank you for the question. Since you have posted two different questions together,…

Q: Are avid readers more likely to wear glasses than those who read less frequently? Three hundred men…

A: Given: yes No Above average 47 26 average 48 78 below average 31 70 126 174

Q: Movie companies need to predict the gross receipts of individual movies after a movie has debuted.…

A: Use EXCEL to obtain the value covariance between First weekend gross and national gross. EXCEL…

Q: Avoiding an accident when driving can depend on reaction time. That time, measured in seconds from…

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…

Q: 20. ERAU wants to know if it is better for Instructor Pilots to give flight students feedback in the…

A: The data is given as- Pilot Immediate feedback After ground feedback A 4 2 B 3 4 C 5 2 D…

Q: A book company sold a total of 70,000 books. The company's yearly sales are given in the histogram.…

Q: Do people walk faster in the airport when they are departing (getting on a plane) or do they walk…

A: a.Experimental study: An experimental study is a study, in which the investigator themselves control…

Q: ing gui Multiple Choice the teacher follow giving The teacher should give learners as much…

A: Which of the following guidelines should the teacher follow when giving feedback?Multiple ChoiceThe…

Q: Q6A The World Bank collected data on the percentage of GDP that a country spends on health…

Q: Of the following is an example of causation? O Skipping a meal causes hunger. Rain causes…

A: Causation indicates that one event is the result of the occurrence of the other event

Q: A financial analyst is examining the relationship between stock prices and earnings per share. She…

A: In this case the independent variable is the earnings per share (x) and the dependent variable is…

Q: Education The following ordered pairs give the entrance exam scores x and the grade-point averages y…

A: Hey there! Thanks for posting the question. Your question has more than one questions. However, we…

Q: Animal breeding help needed!

A: To calculate the relationship coefficient between two animals in this pedigree, we use the method…

Q: Joselyn hopes to receive a grade of B or better in her statistics class. Currently she has scored…

A: Mean= sum of total obervation/ total no. Of observation

Q: Use the graph to answer the following questions. A B C (a) What is the shape? Select an ans (b)…

A: The given graph is, From the graph, (a) The shape of the graph is right or positive skewed…

Q: Identify which of the variables is most likely to be the explanatory variable, and which is most…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Using the line of best fit, which equation most closely represents the set of data? { (-5, 8.2),…

A: First we will mark those points in a plane then draw the line of best fit. Then we will find its…

Q: Lecture(12.8A) A researcher thinks that people have become more anxious when they hear about…

A: Hypothesis are statement about the population parameter. There are two types of hypothesis statement…

Q: The dataset below is based on a survey of 100 randomly selected travelers who were asked, “How many…

A: 2 or Fewer 3 to 5 Trips 6 to 8 Trips 9 or More Trips Total Male 17 10 20 3 50 Female 19 21 8 2…

Q: wants to know if it is better for Instructor Pilots to give flight students feedback in the airplane…

A: The data is given as- Pilot Immediate feedback After ground feedback A 4 2 B 3 4 C 5 2 D…

Q: The following table summarizes the outcome of a study that researchers carried to determine if…

A: Contingency table is used in parametric chi-square tests.

Q: Determine whether the study is an observational study or an experiment. Explain. In a survey of 1494…

A: The 56% of adults in the country said that the country’s leader should release all medical…

Q: a. Which measure of association would be most appropriate for these variables? b. What is the…

A: Association is used to measure whether two or more variables are related to each other or not. The…

Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

Which model is the “best” at predicting response, y?

Justification:

JMP OUTPUT- #21-24
Model
Number RSquare
RMSE
Cp
x2
1
0.9566 19.1669
2.0888
x3
1
0.7637 44.7511
82.6080
This highlight
x1
1
0.0257 90.8632
390.5179
does not mean
x2,x3
0.9604 18.8612
2.5432
anything. It is
just a quirk of
х1,х2
2
0.9578 19.4661
3.6213
х1,x3
2
0.7637 46.0439
84.5881
JMP.
х1,x2,x3
3
0.9617 19.1198
4.0000
Figure 1: Table of Possible Predictive Models
Parameter Estimates
Term
Estimate Std Error t Ratio Prob> |t|
VIF
Intercept 9.6002837
38.54101
0.25
0.8067
х1
-1.216878
1.188857
-1.02
0.3223
1.0660932
x2
5.3978072
0.56296
9.59
<.0001* 3.9067774
x3
-1.374817 1.720724
-0.80
0.4368
15.600942
x4
1.3419933
0.789778
1.70
0.1099
13.067958
Figure 2: Parameter Estimates for x1, x2, x3, and x4
6-
6-
Positive
4
4
-4.
-4-
Negative
Negative
-6-
-6-
-8
30.0
32.5
35.0
-8
30.0
32.5
35.0
Figure 3: Studentized Residual Plots A (Left) and B (Right)
SLR Residual in Y
QR Residual in Y

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Correlation, Regression, and Association$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

Identify which of the variables is most likely to be the explanatory variable, and which is most likely to be the response variable. Explain. Identify whether each variable is categorical or quantitative, and classify the relationship as C-Q, C>C, or Q-›Q, and explain how you know. Determine what type of data display and description is appropriate for the relationship, and explain why. Create an appropriate data display and describe the relationship using vocabulary appropriate to the type of data. Describe any potential lurking (confounding) variables and describe how this impacts association (correlation) versus causation.
Using bike weight to predict bike price what would be the response variable here?
24
The number of hours 13 students spend studying and their test scores are given below.Hours Spend Studying 0 1 2 4 4 5 5 5 6 6 7 7 8Test Scores 40 41 51 48 64 69 73 75 68 93 84 90 95A) Which is the predictor variable, and which is the response variable?
p value only
use the OLS approach to estinstimate relationship between maize yields and fertilizer applications given the table below; interpret your results. maize yields; 31, 36, 29, 34, 62, 60, 45, 31, 42, 48 fertilizer; 23, 25, 19, 35, 32, 54, 26, 20, 18, 23
What is the coefficient of the dummy variable? What is the meaning of the coefficient of the dummy variable?
Net Worth. The Board of Governors of the Federal Reserve System publishes information on family net worth in the Survey of Consumer Finances. In 2010, the mean net worth of families in the United States was $498.8 thousand and the median net worth was $77.3 thousand. Which measure of center do you think is more appropriate? Explain your answer.
Determine whether the underlined value is a parameter or a statistic. Telephone interviews of 1,502 adults 18 years of age or older found that only 69% could identify the current vice-president. Is the value a parameter or a statistic? OA. The value is a statistic because the 1,502 adults 18 years of age or older are a population. B. The value is a parameter because the 1,502 adults 18 years of age or older are a population. C. The value is a statistic because the 1,502 adults 18 years of age or older are a sample. OD. The value is a parameter because the 1,502 adults 18 years of age or older are a sample.
A baseball team claims that the mean length of its games is more than 1.4 hours. State H0 and Ha in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. Explain your reasoning. State the null hypothesis in words and in symbols. Choose the correct answer below. A. The null hypothesis expressed in words is, "the mean length of a baseball team's games is not 1.4 hours." The null hypothesis is expressed symbolically as, "H0: μ≠1.4." B. The null hypothesis expressed in words is, "the mean length of a baseball team's games is at least 1.4 hours." The null hypothesis is expressed symbolically as, "H0: μ≥1.4." C. The null hypothesis expressed in words is, "the mean length of a baseball team's games is at most 1.4 hours." The null hypothesis is expressed symbolically as, "H0: μ≤1.4." D. The null hypothesis expressed in words is, "the mean length of a…
Help