Which of the following statements is false concerning the hypothesis testing procedure for a simple linear regression model? The null hypothesis is rejected if the adjusted r2 is above the critical value. The F-test statistic is used. The alternative hypothesis is that the true slope coefficient is not equal to zero. A significance level (alpha) must be selected.

Which of the following statements is false concerning the hypothesis testing procedure for a simple linear regression model? The null hypothesis is rejected if the adjusted r2 is above the critical value. The F-test statistic is used. The alternative hypothesis is that the true slope coefficient is not equal to zero. A significance level (alpha) must be selected.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section: Chapter Questions

Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...

See similar textbooks

Question 8

Which of the following statements is false concerning the hypothesis testing procedure for a simple linear regression model?

		The null hypothesis is rejected if the adjusted r2 is above the critical value.
		The F-test statistic is used.
		The alternative hypothesis is that the true slope coefficient is not equal to zero.
		A significance level (alpha) must be selected.

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

Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?
2(a).SSR in linear regression is equal to? SST-SSE SST+SSE SSE-SST SST x SSE SST/SSE correct option? (b).SSE or Sum of square erros show variations in between the populations variations within the populatios Type 1 error Family wise wrror Type 2 error variations within the samples correct option?
In a simple regression analysis for a given data set, if the null hypothesis β = 0 is rejected, then the null hypothesis ρ = 0 is also rejected. This statement is ___________ true.
In a multiple linear regression model with 3 predictor variables, what is the t-statistic for the hypothesis test of the null hypothesis that the coefficient of the second predictor variable is equal to 0, if the estimated coefficient is 0.5, the standard error of the estimate is 0.1, and the degrees of freedom is 15?
Kolmorogov-smirnov test T-test Mann-whitney Linear Regression Are these statistical analyses could be computed in SPSS automatically?
Given a regression equation ?) = 2.35 + 6.82x, with n = 18 and a correlationcoefficient, r = 0.42, conduct a hypothesis test to determine if the regressionrelationship between x and y is statistically significant at the 2% level ofsignificance. What conclusion can be drawn from the hypothesis test?
Question 22: A least squares regression line : A- may be used to predict a value of y if the corresponding x value is given. B- implies a cause-effect relationship between c and y. C- can only be determined if a good linear relationship exists between x and y . D- All of these answers are correct.
Q. Which of the following is a difference between the White test and the Breusch-Pagan test? a. The White test is used for detecting autocorrelation in a linear regression model, whereas the Breusch-Pagan test is used for detecting heteroscedasticity. b. The White test is used for detecting heteroscedasticity in a linear regression model, whereas the Breusch-Pagan test is used for detecting heteroscedasticity in a quadratic regression model. c. The number of regressors used in the White test is larger than the number of regressors used in the Breusch-Pagan test. d. The number of regressors used in the Breusch-Pagan test is larger than the number of regressors used in the White test.
MLR. 3. rules out certain relationships between explanatory variables and MLR. 4. rules out relationships between unobservables and regressors. True False QUESTION 7 OF 10 If an independent variable in a multiple linear regression model is an exact linear combination of other independent variables, the model suffers from the problem of _____. SELECT ALL CORRECT OPTIONS OPTION A perfect collinearity OPTION B omitted variable bias OPTION C heteroskedasticty OPTION D homoskedasticity QUESTION 8 OF 10 The estimate σ^σ^ is interesting because it is an estimate of the standard deviation of the unobservables affecting y. In other words, it estimates the standard deviation in yy after the effect of xx has been taken out and is called the standard error (s.e.). True False QUESTION 9 OF 10 Larger the sampling variance in xx in an SLR model, larger the sampling variance for OLS estimators. True False QUESTION 10 OF 10 The regression model,…
In a laboratory experiment, data were gathered on the life span (y in months) of 33 rats, units of daily protein intake (x1), and whether or not agent x2 (a proposed life-extending agent) was added to the rats' diet (x2 = 0 if agent x2 was not added, and x2 = 1 if agent was added). From the results of the experiment, the following regression model was developed:ŷ = 36 + .8x1 − 1.7x2Also provided are SSR = 60 and SST = 180.The test statistic for testing the significance of the model is _____. a. 5.00 b. .50 c. .25 d. .33
Consider the following statements: I. Multicollinearity is present when there is a high degree of linear correlation between the residuals. II. A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line: y-hat = 135 + 6x + errors. This implies that if the height is increased by 1 inch, the weight increases by 6 pounds in this linear model. a. I is true and II is false. b. I is false and II is true. c. Both I and II are true. d. Both I and II are false. e. More information is needed for each statement in order to tell which is true or false.
In a data set with 12 observations, you try fitting two regression models. The esti-mated models are summarized as: Model 1: Y(hat) =3.5 + 2x; SSR= 5, and SSE= 10;Model 2: Y(hat) =3.0 + 1.5x + 0.4^2; SSR=23, and SSE=7 (a) Calculate R2 for both models. b. for both models test the null hypothesis that all the regression coefficients other than the intercept are 0.