I estimate the following regression that relates an individual's test score (from 0 to 100) to their homework grade (also zero to 100): Test Scorei = ẞo + ß₁ · HW Grade¿ + ɛi I find that the intercept is equal to 50. What is difference in predicted test scores for an individual that scored a 90 on homework vs. an individual that scored 95 on the homework? ○ 0.5 ○ 2.5 Not possible to tell from given information ○ 5
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- An instructor who taught two sections of engineering statistics last term, the first with 25 students and the second with 40, decided to assign a term project. After all projects had been turned in, the instructor randomly ordered them before grading. Consider the first 15 graded projects. (a) What is the probability that exactly 10 of these are from the second section? (Round your answer to four decimal places.) (b) What is the probability that at least 10 of these are from the second section? (Round your answer to four decimal places.) (c) What is the probability that at least 10 of these are from the same section? (Round your answer to four decimal places.) (d) What are the mean value and standard deviation of the number among these 15 that are from the second section? (Round your mean to the nearest whole number and your standard deviation to three decimal places.) mean projectsstandard deviation projects (e) What are the mean value and standard deviation of…I estimate the following regression that relates an individual's test score (from 0 to 100) to their homework grade (also zero to 100): Test Scorei = BoB₁ HW Gradei I find that the intercept is equal to 50. What is difference in predicted test scores for an individual that scored a 90 on homework vs. an individual that scored 95 on the homework?I estimate the following regression that relates an individual's test score (from 0 to 100) to their homework grade (also zero to 100): Test Score = BoB₁ HW Gradei I find that the slope coefficient is equal to 0.5. What is difference in predicted test scores for an individual that scored a 90 on homework vs. an individual that scored 95 on the homework?
- Use Python or Matlab to produce the solution for the following problems. Calculate the probability that individual has at least two violations. Calculate the expected value and variance of number of violations. Suppose an individual with X violations incurs a surcharge of $30X+$50. Calculate the expected amount of the surcharge, and the variance.In the simple linear regression equation ŷ = bo + b₁x, how is b₁ interpreted? it is the change in that occurs with a one-unit change in y O It is the estimated value of ŷ when x = 0 O It is the change in ŷ that occurs when bo increases O it is the change in ŷ that occurs with a one-unit change inCustomers are used to evaluate preliminary product designs. In the past, 91% of highly successful products received good reviews, 57% of moderately successful products received good reviews, and 15% of poor products received good reviews. In addition, 40% of products have been highty successful, 35% have been moderately successful and 25% have been poor products. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that a product attains a good review? (b) If a new design attains a good review, what is the probability that it will be a highly successful product? (c) If a product does not attain a good review, what is the probability that it will be a highly successful product? (a) 5985 (b) 6082 (c) i 0897
- Students graduating Atlantis University are being administered a test to check their general competence level at the end of the study program. From a random sample of 100 students, 95 passed and 5 failed. We aim to construct a 95% confidence interval for the proportion p of students at Atlantis University who have achieved a satisfactory competence level after their studies. Answer the following questions: (a) The critical z-value for this problem (the z-value to be used) is z = (give the exact value to TWO decimal places N.xx) (b)The middle of the interval is %. (ROUND to the nearest integer) (c) The error margin is % (use one decimal only and give in terms of percentages).In python, for a sample data with 4 columns and 60 rows how do you find the parameters for the regression with the feature map (see attached) where we consider the loss function to be the square of residuals. Once this is done, how do you compute the empirical risk? I've attached some of the data below, it would be sufficient to see how you get results for the question using the above dataset. 1 14 25 620 -1 69 29 625 0 83 27 850 0 28 25 1315 1 41 25 2120 -1 153 31 1315 0 55 25 2600 0 55 31 490 1 69 25 3110 1 83 25 3535Use R programming to solve the questions and include the pictures of the codes thanks