5) What is true about a regression using data from a randomized controlled trial?a) The independent variable is exogenous because it was determined randomly.b) The line of best fit does not minimize the sum of squared residuals.c) It eliminates all error due to unmeasured variables.d) The estimated slope is significant no matter how many observations are in the sample.e) The slope of the line of best fit must be equal to the true relationship.

Given information: The information about regression model is given.

Answered: What is true about a regression using…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A business school is conducting a study to investigate whether a students’ scores on a placement test can be used to predict students’ starting salaries. Based on a random sample of 200 graduates of the business school, a 98 percent confidence interval for the slope of the linear regression line relating placement scores and starting salary is calculated to be (315,336). Assume the conditions for inference are met. Which of the following is a correct interpretation of the confidence interval? There is a 98 percent probability that the slope of the population regression line is between $315 per point and $336 per point. A Ninety-eight percent of the time, a 10-point increase in placement score will result in an average increase between $3,150 and $3,360 in starting salary. B We are 98 percent confident that a 10-point increase in placement score will result in a predicted increase in starting salary of between $3,150 and $3,360. C We are 98 percent…
can ridge regression be applied if sample size is smaller than the number of predictors?
A heteroscedastic error pattern can ADVERSELY affect the ability to make inferences from a regression model. True False
consider the partially completed ANOVA table showing the results of a regression analysis shown;
A teacher conducted a regression analysis to investigate the relationship between student height and femur length. Computer output from the linear regression analysis is shown in the table. The analysis was performed on a sample of 24 students. Term CoefCoef SE CoefSE Coef Constant 28.34 0.945 Femur length 1.73 0.023 Assume that the conditions for inference for the slope of the regression equation have been met. Which of the following defines the margin of error for a 99.5 percent confidence interval for the slope of the least-squares regression equation? A)3.104 (0.023) B)3.104 (1.73) C)3.119 (0.023) D)3.119(0.945) E)3.119(1.73)
The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families. Monthly Income Monthly Rent 24 7.0 16 4.5 19 6.5 31 11.6 10 4.5 27 8.5 1.The 99% confidence interval for the slope, B, of the population regression line is (2 decimals): __________________________________________ 2. The null hypothesis is that the slope of the population regression line of monthly rent on monthly income is zero and the alternative hypothesis is that the slope of this population regression line is greater than zero. The significance level is 1%. What is the critical value of t (3 decimals)? __________________________________________ 3. The null hypothesis is that the slope of the population regression line of monthly rent on monthly income is zero and the alternative hypothesis is that the slope of this population regression line is greater than zero. The significance level is 1%. What is…
When we use a least-squares line to predict y values for x values beyond the range of x values found in the data, are we extrapolating or interpolating? Are there any concerns about such predictions?
A sociologist recorded the number of contacts entered in a cell phone and the number of texts sent in a week for 20 cell phone users. The resulting data were used to conduct a hypothesis test to investigate whether there is a linear relationship between the number of contacts and the number of texts sent. What are the correct hypotheses for the test?
Which of the following scatterplots provides evidence that the condition of equal variance for inference for the slope of a regression line has not been met?
A researcher developed a regression model to predict the cost of a meal based on the summated rating (sum of ratings for food, decor,and service) and the cost per meal for 12 restaurants. The results of the study show that b1=1.4379 and Sb1=0.1397. a. At the 0.05 level of significance, is there evidence of a linear relationship between the summated rating of a restaurant and the cost of a meal? b. Construct a 95% confidence interval estimate of the population slope, β1. a. Determine the hypotheses for the test. Choose the correct answer below. A. H0: β1=0 H1: β1≠0 B. H0: β0≤0 H1: β0>0 C. H0: β1≤0 H1: β1>0 D. H0: β0≥0 H1: β0<0 E. H0: β1≥0 H1: β1<0 F. H0: β0=0 H1: β0≠0 Compute the test statistic. The test statistic is ? (Round to two decimal places as needed.) Determine the critical value(s). The critical value(s) is(are) ? (Use a comma to separate answers as needed.…
23. Are the residuals normally distributed? a. Yes b. No c. Cannot be determined due to insufficiency of data.
Which of the following is assumed for establishing the unbiassedness of Ordinary Least Square(OLS) estimates? A) The sample value outcomes on the explanatory variable are all the same value B)The error term has the same variance given any value of the explanatory variable. C)The error term has an expected value of 1 given any value of the explanatory variable D) The regression equation is linear in the explained and explanatory variables.

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