i need Part E solution The following table gives the regression results of consumption behaviour betweenfemale and male.Consumption (C), in RMModel 1Model 2Constant0.75150.6587(0.024)(0.037)Y0.86030.5442(0.0301)(0.2881)Gen0.2001(0.0004)Y*Gen0.3105(0.0076)Adjusted R0.780.78No. of Observations4747Note: Y=income (RM)Gen= Gender ( It is equal to 1 if person is female; 0 is for male)Figures in the parentheses are p- valuesa) Identify which are the qualitative, quantitative and interaction variable.Refer to Model 1:b)Write the regression equations for female and male.Draw the regression lines for female and male on the same diagram. What can youc)say?d)Interpret all the estimated slope coefficients.e)Conduct an appropriate test to determine whether variable gender is statisticallysignificant at 5%. Should this variable be dropped from this regression model.

Instruction : "i need Part E solution" Model 1 data is given below :

Answered: Conduct an appropriate test to…

Conduct an appropriate test to determine whether variable gender is statistically significant at 5%. Should this variable be dropped from this regression model. e)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 8E

See similar textbooks

Related questions

Q: can ridge regression be applied if sample size is smaller than the number of predictors?

A: It is not unusual to see the number of input variables (predictors) greatly exceed the number of…

Q: The output of a different regression analysis on the effect of radio advertising spending on sales…

A: Here, there is only one predictor variable (radio advertising spending). Therefore, dfreg=p…

Q: Using the previous regression model, is there a statistically significant relationship between…

A: Given : Level of significance = 0.05

Q: In simple regression, the percentage of variance in Y that can be explained by X is identified by

A: We know that, in any regression model, we need to measure the model accuracy i.e. we need to check…

Q: Suppose that a study estimates the effect of lockdowns by looking at the rates of COVID-19 infection…

A: Time-series data are collected over a time period say quarterly, half yearly and for a year or more…

Q: What is the predicted value for accidents per 1000 licenses for a city that has 13% of its licensed…

Q: A researcher recorded the number of e-mails received in a month and the number of online purchases…

A: In this case, it is required to check whether the slope of the population regression line relating…

Q: Which data-collection methods are dominant in quantitative research? Select all that apply.

A: # Quantitative research:Quantitative research is the process of collecting and analyzing numerical…

Q: Is there a linear correlation between students' high school GPA and their current GPA (College GPA)?…

Q: In a quantitative dataset, which would be smaller, the standard deviation or the standard error of…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The following data relate to marks obtained by 250 students in Example Accountancy and Statistics in…

A: Solution is given: Hope the answer is helpful.

Q: Given a set of data that has the following measures, find the least square regression line

A: The regression line is,…

Q: if the total sum of squares of y is 32, the sum of squares of the regression line with respect to…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: What kind of plot is useful for deciding whether finding a regression line for a set of data points…

A: Scatter plot: A scatter plot is a mathematical diagram which shows a relationship between two…

Q: By visual inspection, determine the best-fitting regression model for the scatterplot. y

Q: Which of the following is not an example of systematic error in an observational study? A…

A: In general, systematic errors are calculation bias that contributes to the situation in which the…

Q: Five pairs of data are used in determining a regression line ŷ = -3 + 4x. If the five values of the…

A: The regression equation is given as ŷ = –3 + 4x.

Q: 7. Why is the strength of the correlation between Y and X important in regression analysis?

A: It is an important part of statistics. It is widely used.

Q: Which criterion is used for deciding which regression line fits best?

A: Least-squares property: If the sum of the squares of the residuals is expressed as smallest sum…

Q: In the multiple regression model, the adjusted R-squared: cannot be negative. O will never be…

A: In the multiple regression model, the adjusted R-squared is the revised version of R2.

Q: In a regression context, under what situation is the predicted value for Y equal to the mean of Y?

A: To find: under what situation is the predicted value for Y equal to the mean of Y Let us assume…

Q: In order to answer the question, "If total rainfall turns out to be 12.7 inches next growing season,…

A: Whenever you're deciding which statistical procedure to use always keep a check of dependent and…

Q: Suppose you are investigating a dataset and creating a sample linear regression model that yields a…

A: Researchers conduct t-test to test the usefulness of the slope coefficient.

Q: Do you think the regression in Table 5 suffers from omitted variable bias? If yes, which additional…

A: Regression is used to predict the value of dependent variable based on one or more independent…

Q: In the context of the linear regression model, briefly explain why it makes sense to provide a…

A: Introduction: Suppose ŷ is the predicted value of the response variable, y in a linear regression…

Q: Using the regression line attached. Based on only the above plot, one can conclude: a) height…

A: From the above data the correct option is a) height causes an increase in weight

Q: In the context of regression analysis, what is an a. outlier? b. influential observation?

Q: A researcher recorded the number of e-mails received in a month and the number of online purchases…

A: We are testing whether the slope is positive or not Therefore, it is a right tailed test

Q: In order to answer the question, "Is air pollution worse in Washington or Baltimore?", what kind of…

A: Whenever you're deciding which statistical procedure to follow keep the concept of dependent and…

Q: Which of the following is not a condition that needs to be assessed in multiple linear regression? o…

A: The assumptions of a multiple linear regression are: 1. Linearity that is a linear relationship…

Q: A study is conducted to determine if there is a relationship between the two variables, blood…

A: The simple regression study is used to determine the significant relationship between the two…

Q: What are the assumptions of simple linear regression (and as a consequence the pearson’s r…

A: We find the assumption for linear regression.

Q: In Exercises, assume that the variables under consideration satisfy the assumptions for regression…

Q: The issue of multicollinearity impacted the 'vadity and trustworthiness' of a regression model.…

A: Multicollinearity refers to the situation when the independent variables of the regression are…

Q: What is the difference between the population and sample regression functions? Is this a distinction…

A: In this question, we have to tell difference between the population regression function and simple…

Q: Explain why the predictor variable is useless as a predictor of the response variable if the slope…

Q: Define the term Sample Correlation? why it is used in linear equation?

A: Correlation measure linear relationship between the variables. Correlation: Correlation is used to…

Q: The certain study seeks to investigate whether negative life events, family environment, family…

A: Given: Independent/ predictor variables: Negative life events, family environment, family violence,…

Q: If you have a Pearson correlation coefficient of .30, what is the proportion of variance accounted…

Q: What is the correlation coefficient of the linear least-squares regression?

A: It is given that Cov(X, Y) = -0.58 Var(X) = 7.35 and Var(Y) = 9.8

Q: (1) Write out the regression equation (2) What is the sample size used in this investigation? (3)…

A: 1) From the output, the coefficient of constant is 42.085

Q: Explain how to determine the variance inflation factor (VIF) for a predictor variable x1 in a…

Q: Show that arithmetic mean of regression coefficients is greater than the correlation coefficient.

A: Regression coefficients : Let X and Y be two variables, then we can get two regression equations;…

Q: What effect on the results of a regression does data that exhibits heteroscedasticity cause?…

A: Here we want to regression does data that exhibit heteroscedasticity cause.

Q: Using the previous regression model, is there a statistically significant relationship between GPA…

A: Given : Significance level α = 0.05 We are asked to determine if there is statistically significant…

Q: 7.Why is the strength of the correlation between Y and X important in regression analysis?

A: Let Y be the dependent variable and X be the independent variable in the regression analysis.

Q: A. Compute the correlation coefficient. B. What does this statistics mean concerning the…

A: Note: Thank you for the question. Since multiple subparts are posted, according to our policy, we…

Q: The best predicted height is enter your response here cm. (Round to two decimal places as…

Question

i need Part E solution

The following table gives the regression results of consumption behaviour between
female and male.
Consumption (C), in RM
Model 1
Model 2
Constant
0.7515
0.6587
(0.024)
(0.037)
Y
0.8603
0.5442
(0.0301)
(0.2881)
Gen
0.2001
(0.0004)
Y*Gen
0.3105
(0.0076)
Adjusted R
0.78
0.78
No. of Observations
47
47
Note: Y=income (RM)
Gen= Gender ( It is equal to 1 if person is female; 0 is for male)
Figures in the parentheses are p- values
a) Identify which are the qualitative, quantitative and interaction variable.
Refer to Model 1:
b)
Write the regression equations for female and male.
Draw the regression lines for female and male on the same diagram. What can you
c)
say?
d)
Interpret all the estimated slope coefficients.
e)
Conduct an appropriate test to determine whether variable gender is statistically
significant at 5%. Should this variable be dropped from this regression model.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Anova and Design of Experiments$

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

Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.
What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?
A logistic regression model was proposed for classifying common brushtail possums into their two regions. The outcome variable took value 1 if the possum was from Victoria and 0 otherwise. Estimate SE Pr(>|Z|) (Intercept) 31.1256 9.7822 3.1819 0.0014 sex_male -1.3917 0.6456 -2.1557 0.0312 -2.2381 skull_width total_length tail_length -0.2782 0.1243 0.0252 0.5529 0.1337 4.1354 -1.8147 0.3636 -4.9909 (a) Write out the form of the model. log_odds(Victoria) =| sex_male skull_width + total_length + tail_length Also identify which of the variables are positively associated when controlling for other variables. O skull_width O sex_male total_length tail_length (b) Suppose we see a brushtail possum at a zoo in the US, and a sign says the possum had been captured in the wild in Australia, but it doesn't say which part of Australia. However, the sign does indicate that the possum is male, its skull is about 64 mm wide, its tail is 40 cm long, and its total length is 85 cm. What is the reduced…
In a random sample of sixteen different industries the percentage employment x in STEM (science, technology, engineering, mathematics) and mean annual compensation y(in thousands of dollars) were recorded, with the following results. The scatter diagram showed a linear trend. SSx = 1303.9 SSxy= 1503.0 SSy = 2660.2 Ex = 150 .1 Ey = 915 n = 16 1sx s 34 36.7 s y s 90.5 Calculate the slope of the linear regression line relating y as a function of x accurate to two decimal places.
A researcher is using a panel data set on n = 1000 workers over T = 10 years (from 2001 through 2010) that contains the workers' earnings, gender, education, and age. The researcher is interested in the effect of education on earnings. Suppose you run a regression of earnings on person-specific and time-specific control variables. Can this regression be used to estimate the effect of gender on an individual's earnings or the effect of the national unemployment rate on an individual's earnings? A. Neither effect can be estimated using this regression. B. It can be used to estimate the effect of both gender and the national unemployment rate on an individual's earnings C. It can be used to estimate the effect of gender on an individual's earnings, but not the effect of the national unemployment rate on an individual's earnings. D. It can be used to estimate the effect of the national unemployment rate on an individual's earnings, but not the effect of gender on an individual's earnings.
In simple regression, the percentage of variance in Y that can be explained by X is identified by
In linear regression, the mean value of all residuals will be greater for a correlation of -.70 than for a correlation of O -60 O.89 O -2 O.34