
College Algebra
1st Edition
ISBN: 9781938168383
Author: Jay Abramson
Publisher: OpenStax
expand_more
expand_more
format_list_bulleted
Question

Transcribed Image Text:Consider the following regression model,
log(CON)=Bo + B,INC + B2INC2 + B3PRICE + u
Where CON = Household consumption expenditure
INC = Household income
INC? = Household income squared
PRICE = General price level
Regression Estimates- Dependent variable: log(CON)
Variables
Coefficient Estimates and (Standard Errors)
Equation 1
Equation 2
1.2136
(0.1961)
Constant
1.5731
(0.0849)
INC
0.0029
(0.001)
INC?
0.0013
(0.00051)
PRICE
-0.0081
-0.0095
(0.0035)
(0.0017)
N (Number of
Observations)
SSR (Sum of Squared
Residuals)
R2
500
500
145.63
184.09
0.52
0.45
You wanted to test whether income has significant effect on household consumption. Which of the
following represents the approximate critical value for this test at 1% level of significance?
Critical value of F with 1% level of significance and 3 and 496 df is: F = 2.60
Critical value of t with 1% level of significance and 2 and 498 df is: F = 2.326
Critical value of F with 1% level of significance and 2 and 496 df is: F = 4.61
Critical value of t with 1% level of significance and 496 df: t = 2.576
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
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps

Knowledge Booster
Similar questions
- Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?arrow_forwardCan the average rate of change of a function be constant?arrow_forwardConsider an estimated regression explaining the salaries of CEOS(in millions of dollars) in terms of annual firm sales (in millions of dollars), return on equity (roe in percentage form), and return on fırm's stock (ros, in percentage form) : log(salary) = 4.32 + 0.018sales + 0.0174roe + 0.00024ros How would you interpret the estimated coefficient of sales ? When sales increase by 1 million dollars, CEOS' salary is expected to increase by 0.018%. When sales increase by 1 million dollars, CEOS' salary is expected to increase by 1.8%. When sales increase by 1%, CEOS' salary is expected to increase 0.18%. When sales increase by 100%, CEOS' salary is expected to increase 0.18%.arrow_forward
- A regression was run to determine if there is a relationship between the happiness index (y) and life expectancy in years of a given country (x).The results of the regression were: y=a+bxa=-0.797b=0.181 (c) If a country increases its life expectancy, the happiness index will increase decrease (d) If the life expectancy is increased by 1 years in a certain country, how much will the happiness index change? Round to two decimal places.arrow_forwardSuppose a data set of 200 observations (n = 200) was analyzed using OLS to examine the relationship between CEO salary and various measures of firm performance. The regression results are as follows, with standard errors in parentheses: logy = 5 + 0.2logx₁0.03x₂ +0.002x3 (0.2) (0.04) (0.004) where? (0.009) y = CEO salary in thousands of dollars X₁ = annual firm sales X₂ = percentage of sales lost to competitors X3 = return on stock in percent R² = 0.290 Suppose you want to test the null hypothesis that percentage of sales lost to competitors has no ceteris paribus effect on the salaries of CEOS. For the one-sided alternative hypothesis ß₂ < 0 and 1% rejection rule (i.e., at the 1% level), you would_ the null hypothesis that ß₂ = 0.arrow_forwardA well-balanced stock market portfolio will often experience an exponential growth. A particular investor with a well-balanced stock market portfolio records the portfolio balance every month, in thousands of dollars, from the date of investment. The roughly exponential growth can be transformed to a linear model by plotting the natural log of the balances versus time, in months, where t = 0 represents the date the money was invested. The linear regression equation for the transformed data is Using this equation, what is the predicted balance of the portfolio after 2 years (24 months)? (A) $5,654 (B) $6,798 (C) $285,431 (D) $896,053 (E) $948,464arrow_forward
- Find out the regression equation showing the regression of capacity utilisation on production from the following data: Average Standard Deviation Production (in lakh units) 35.6 10.5 Capacity Utilisation (in percentage) 84.8 8.5 r = 0.62 Estimate the production, when capacity utilisation is 70%. x =?, y = 70% =0.7arrow_forwardThe regression slope predicts the change in Y per unit change in X. True Falsearrow_forwardConsider a linear regression model for the decrease in blood pressure (mmHg) over a four-week period with muy=2.8+0.8x and standard deviation chi=3.2. The explanatory variable x is the number of servings fruits and vegetables in a calorie-controlled diet. Explain clearly what this slope says about the change in the mean of y for a change in x.arrow_forward
- Describe regression variation in terms of variation in Y.arrow_forwardRun a simple linear regression in SPSS to know if previous experience (‘prevexp’: Previous Experience-months) significantly predicts current salary(‘salary’: Current Salary) in the work force . Use α =.05 Is the regression equation significant? That is, does Previous Experience explains (or predicts) a significant amount of variability in Current Salary? Report the F, df (of numerator, and df of the denominator) and p-value.arrow_forwardAn investigator modeled the log-odds of getting stomach cancer as a function of number of servings of vegetables per week and the number of servings of red mean per week using logistic regression. The odds that a person gets stomach cancer if they have 4 servings of red meat a week are 1.2 times the odds of cancer for someone who has 3 servings of red meat a week. What is the odds ratio for stomach cancer for someone who has 5 servings as opposed to someone who has 3 servings? Enter your answer to 3 digits beyond the decimal point.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage

Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage