Which of the following statements about simple linear regression are true? Theremay be more than one correct statement; check all that area true.a) The most common and practical test in simple linear regression has the nullhypothesis Ho: Bo = 0.b) In simple linear regression, the sum of the residuals is always equal to thesample size.c) If the intercept is 0, that means there is no linear relationship between Xand Y.d) The sample correlation coefficient always has the same sign as the sampleslope.

Simple linear regression- ŷ = β0 + β1x where: ŷ: The estimated response value. β0: The average value…

Answered: Which of the following statements about…

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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Which of the following four statements is correct?Note: Only one answer is correct per question.1) Let f (x) = 2 + 5x be a linear regression line of a linear regression from Y to X.Then the following applies to the scatter plot: 1) The closer the points in the scatter diagram to the regression line drawnthe stronger the correlation between X and Y. 2) The further the points in the scatter plot are from the regression line drawn away, the stronger the correlation between X and Y. 3) Only if all points lie exactly on the regression line drawn isthe correlation between X and Y is strong. 4) The position of the points in the scatter plot has nothing to do with the strength of the correlation. 2) For the events A = "number of points when rolling the dice is two" and B = "number of points when rolling the diceRolling the dice is straight ":* P (A \ B) is smaller than P (A).* P (A \ B) is the same size as P (A).* P (A \ B) is greater than P (A).* No general statement can be made about…
A graduate school committee is studying the relationship between x, an applicants’ undergraduate grade point average and y, the applicants’ score on the graduate entrance exam. The following random sample was collected to study this relationship. a. Write a sentence interpreting the value of the slope of the regression line. b. If a student has a grade point average of 3.5 what does the least-squares line predict for the score on the graduate entrance exam? (Show your calculations.) Is this interpolation or extrapolation? Explain. c. What does the correlation coefficient tell us about the relationship between GPA and graduate entrance exam score? d. Give a brief explanation of the meaning of the coefficient of determination in the context of this problem.
In multiple regression testing of Ho: B1 = B2 = B3 = ... = BK = %3D %3D O at a = 0.05, a p-value of 0.08, would give an indication that: O the null hypothesis should not be rejected O all three independent variables have a slope of zero O the null hypothesis should be rejected O None of the Choices O there is linear relationship between y and any of the three independent variables I3D
A sixth-grade teacher believes that there is a relationship between his students’ IQscores (y) and the numbers of hours (x) they spend watching television each week. Thefollowing table shows a random sample of 7 sixth-grade students.y 125 116 97 114 85 107 105x 5 10 30 16 41 28 21 Does the data provide sufficient evidence to indicate that the simple linear regressionmodel is appropriate to describe the relationship between x and y? Perform a model utilitytest at α = 0.05. (Give H0, Ha, rejection region, observed test statistic, P-value, decisionand conclusion.)Find the Pearson sample correlation coefficient between x and y. Then interpretthe result.
Is It Getting Harder to Win a Hot Dog Eating Contest?Every Fourth of July, Nathan’s Famous in New York City holds a hot dog eating contest. The table below shows the winning number of hot dogs and buns eaten every year from 2002 to 2015, and the data are also available in HotDogs. The figure below shows the scatterplot with the regression line. Year Hot Dogs 2015 62 2014 61 2013 69 2012 68 2011 62 2010 54 2009 68 2008 59 2007 66 2006 54 2005 49 2004 54 2003 45 2002 50 Winning number of hot dogs in the hot dog eating contest Winning number of hot dogs and buns Click here for the dataset associated with this question. (a) Is the trend in the data mostly positive or negative? Positive Negative (b) Using the figure provided, is the residual larger in 2007 or 2008?Choose the answer from the menu in accordance to item (b) of the question statement 20072008 Is the residual positive or…
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states, where T is thousands of automatic weapons and y is murders per 100,000 residents. 11.4 8.1 6.7 3.3 2.3 2.6 2.1 0.7 13.6 10.6 9.6 6.9 5.9 6.4 6. 4.9 Use your calculator to determine the equation of the regression line and write it in the y = ar +b form. Round to 2 decimal places. y = .78x +4.39 According to this model, how many murders per 100,000 residents can be expected in a state with 2.1 thousand automatic weapons? Round to 3 decimal places. 5.9 According to this model, how many murders per 100,000 residents can be expected in a state with 7 thousand automatic weapons? Round to 3 decimal places. 9.82
2. Years of Work Experience and number of Job Offers of 10 job-seekers were as follows: Work Exp. 4 5 3 7 12 2 5 4 9 No. of Offers 7 1 8 4 13 19 3 11 15 a. Fit the regression equation of No. of Job Offers on Years of Work Experience. b. What will be the predicted number of offers for an applicant with 6 years of experience? c. Verify the relationship between the number of job offers and years of work experience using at least two relevant methods.
Which of the multivariate regression parameters listed below would be best interpreted as: the predicted value on the dependent variable when all of the independent variables in the model are equal to zero. a b1 X1 R2
The systolic blood pressure of individuals is thought to be related to both age and weight. For a random sample of 11 men, the following data were obtained. Systolic Blood pressuex1 Age (years)x2 Weight (pounds)x3 132 52 173 143 59 184 153 67 194 162 73 211 154 64 196 168 74 220 137 54 188 149 61 188 159 65 207 128 46 167 166 72 217 a) Look at the coefficients of the regression equation. Write out the regression equation. (Use 3 decimal places.) x1 = _____ + _____ x2 + ____x3 b) If age were held fixed, but a person put on 10 pounds, what would you expect for the corresponding change in systolic blood pressure? (Use 2 decimal places.)c) If a person kept the same weight but got 10 years older, what would you expect for the corresponding change in systolic blood pressure? (Use 2 decimal places.)
Can I get help on what step I missed?
Absences and Final Exam Scores No. of absences, x 0 1 For students WHO IIISS THO Classes is et the slope or the y-intercept. = as needed.) Final exam score, y 88.9 86.6 83.6 81.5 student who misses five class periods. 2 Print 3 = needed.) ow average for this number of absences? 4 5 78.2 73.7 Done 6 7 8 63.9 72.7 It is not appropriate to interpret the slope. 9 65.3 65.4 0 O X Reference 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 0.997 0.950 0.878 0.811 0.754 0.707 0.666 0.632 0.602 0.576 0.553 0.532 0.514 0.497 0.482 0.468 0.456 0.444
randomly selected middle school students. Using this data, consider the equation of the regression line, yˆ=b0+b1x, for predicting the overall grade average for a middle school student based on the number of hours spent unsupervised each day. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Hours Unsupervised 1.5 2 3 3.5 4 4.5 5.5 Overall Grades 99 96 84 75 68 65 60 Table Step 1 of 6 : Find the estimated slope. Round your answer to three decimal places.

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