The teacher of a course in statistics wants to fit the regression that explains the scores...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
The teacher of a course in statistics wants to fit the regression that explains the scores obtained in the exam (variable Exam) in terms of the number of exercises submitted throughout the course (variable Exercises). The following table shows the results for the ten students in the course: Exercises 0 0 6 12 24 37 43 53 63 79 Exam 64 28 26 83 78 35 77 55 80 62 (a) Calculate the intercept and the slope of the regression of interest. (5p.) (b) Calculate the ten fitted values and the ten residuals. (5p.) (c) Calculate the sum of squares totalSST and the sum of squares error SSE (5p.) (d) Calculate and interpret the coefficient of determination. (5p.) 14. A box contains a large number of balls of four different colors: black, white, blue and red. We believe that one quarter of the balls in the box are of each color, i.e. we believe that 25% of the balls are black, 25% are white, 25% are blue and 25% are red. A random sample of 100 balls was drawn. We observe that 19 of them are black, 31 are white, 26 are blue and 24 are red. (a) State the hypothesis of interest. (5p.) (b) Compute the test statistic and the critical value (using a significance level of 5%). (5p.) (c) What is the conclusion regarding the hypothesis? (5p.) (d) Would the decision change if the significance level was 1%? Why? (5p.) The teacher of a course in statistics wants to fit the regression that explains the scores obtained in the exam (variable Exam) in terms of the number of exercises submitted throughout the course (variable Exercises). The following table shows the results for the ten students in the course: Exercises 0 0 6 12 24 37 43 53 63 79 Exam 64 28 26 83 78 35 77 55 80 62 (a) Calculate the intercept and the slope of the regression of interest. (5p.) (b) Calculate the ten fitted values and the ten residuals. (5p.) (c) Calculate the sum of squares totalSST and the sum of squares error SSE (5p.) (d) Calculate and interpret the coefficient of determination. (5p.) 14. A box contains a large number of balls of four different colors: black, white, blue and red. We believe that one quarter of the balls in the box are of each color, i.e. we believe that 25% of the balls are black, 25% are white, 25% are blue and 25% are red. A random sample of 100 balls was drawn. We observe that 19 of them are black, 31 are white, 26 are blue and 24 are red. (a) State the hypothesis of interest. (5p.) (b) Compute the test statistic and the critical value (using a significance level of 5%). (5p.) (c) What is the conclusion regarding the hypothesis? (5p.) (d) Would the decision change if the significance level was 1%? Why? (5p.)
Expert Answer:
Related Book For
Statistics For Psychology
ISBN: 9780205258154
6th Edition
Authors: Arthur Aron, Elaine N. Aron, Elliot J. Coups
Posted Date:
Students also viewed these mathematics questions
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
A researcher wanted to find out if there was difference between older movie goers and younger movie goers with respect to their estimates of a successful actors income. The researcher first...
-
Define the term CHAMPERTY
-
The owner of a skating rink rents the rink for parties at $600 if 50 or fewer skaters attend, so that the cost per person is $12 if 50 attend. For each 5 skaters above 50, she reduces the price per...
-
Let P and PQ denote the probabilities of symbol error for the in-phase and quadrature channels of a narrowband digital communication system. Show that the average probability of symbol error for the...
-
Describe how intentional torts and negligence differ.
-
In 2014, Pennington Corporation had net sales of $600,000 and cost of goods sold of $360,000. Operating expenses were $153,000, and interest expense was $7,500. The corporations tax rate is 30%. The...
-
10) The company paid its suppliers $367,824 for inventory it had previously purchased on account. Describe the effects of this transaction on the accounting equation in terms of debits and credits...
-
Three identical SRS open-chain arms are grasping a common object, as shown in Figure 1. spherical joint revolute joint Figure 1 Three cooperating SRS arms grasping a common object. (a) Find the...
-
n Given the acceleration pattern shown in Figure 2.1 below, (a) derive and plot the relationship between speed and time and (b) calculate the total distance traveled during the 20 sec interval. Atr=0...
-
The store hired you to design a database management system to assist in keeping track of its customers and rental inventory. Draw your EER diagram based on the following narrative about a computer...
-
Use the Direct Stiffness method to analyze each of the structures shown below for loading conditions indicated. Determine the structure displacements and the corresponding member forces for the given...
-
For a soil, the following are given: saturated water content Wsat = 23%, specific gravity, G = 2.7. Draw the phase diagram and determine the following: (i) Void ratio (e), (ii) Porosity (n), (iii)...
-
Financial balances for Tom's business on 30 June 20X3 are given below: ASSETS Cash Account Receivable Inventory Equipment Total Assets LIABILITIES 20,000 Account Payable 6,063 33,125 Loan OWNERS...
-
For mechanisms given in the following figures, draw the free body diagrams, show the constraint and applied forces acting on the links in the mechanisms, and define with regard to the force-members....
-
g(x) = x 5 5x 6 a. Show that g(x) = 0 has a root, , between x = 1 and x = 2. b. Show that the equation g(x) = 0 can be written as x = (px + q) 1/r , where p, q and r are integers to be found. The...
-
In a completed study, there is a known population with a normal distribution, = 25, and = 12. What is the estimated effect size if a sample given an experimental procedure has a mean of (a) 19. (b)...
-
Patients with two kinds of diagnoses were randomly assigned to one of three types of therapy and the effectiveness of the therapy was measured on a 1-to-15 scale (with a higher number indicating...
-
Make a rank-order transformation for the scores in problems (a) 2a. (b) 2b.
-
(a) Graph the binomial probability distribution with n = 10 and p = 0.2. Comment on the shape of the distribution. (b) Graph the binomial probability distribution with n = 10 and p = 0.5. Comment on...
-
Assuming = 5, compute (a) P(5) (b) P(X < 5) (c) P(X 5) (d) P(5 X 7) The random variable X follows a Poisson process with the given mean.
-
According to CTIA, 41% of all U.S. households are wireless-only households. In a simple random sample of 300 households, determine the mean and standard deviation number of wireless-only households....
Study smarter with the SolutionInn App