Suppose the simple linear regression model, Y; = Bo + B1 a; + Ej, is used to explain the relationship between x and y.A random sample of n10 values for the explanatory variable (x) was selected and the corresponding values of theresponse variable (y) were observed. The summary statistics were:Σ.8, Συ- 10 , Σα,y 9.5,Σ-7.4, Σ-20 7. Suppose we want to test, at the 5% level of significance, whether there is a linear relationship between x and y. That is,we want to test the null hypothesis Ho : B1 = 0 against the alternative hypothesis Ha : B1 7 0. What is the distributionof the test statistic for this test?t10Ο Ν(0, 1)t9O ts

From the given data Select the correct choice

Answered: 7. Suppose we want to test, at the 5%…

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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Formulate research problems and hypotheses to test the effect between 2 variables (variable X and variable Y). The following presents quantitative data from the measurement results of variables X and Y from a number of individuals (sample) taken randomly from a certain population. The distribution of the measurement data is as follows: No. Resp. 1 2 3 456 789 10 11 12 13 14 15 16 Var.X 11 22 9 5 25 10 13 12 17 16 20 15 18 19 23 28 Var.Y 17 30 12 9 34 15 20 19 24 22 29 21 25 27 31 36 Based on these data, solve the following statistical problems: d. What is the direction of the relationship formed between the X variable and the Y variable?
A high school conducts a dependent sample experiment to test if there is a difference between the number of times students are absent in the fall and winter months. You have data for the following 5 students: STUDENT FALL WINTER 1 2 3 4 5 2 0 1 2 O What do you conclude about this school's absences? (Assume standard a = 0.05) 2 1 2 4 T O There is no difference between the Fall and Winter months. O There is a statistically significant difference between the Fall and Winter months. There is a difference but it is only somewhat statistically significant. There is not enough data to determine if there is a difference in absences.
Q1. Which of these is not a parameter of the population distribution of X? A. Sample Mean of X. B. Variance of X. C. Std. deviation of X. D. The Expected value of X, E(X). O A. A В. Ь О С. с O D. d
7
Q. 1In the population, the average score on a test of self-esteem is 50 (σ= 5). You select a randomsample of 25 students who score a mean of 53.a. Shine claims that these students don’t have very high self-esteem, because they are only 3points above the population mean. Why can’t she make this claim merely by looking atthe X? .b. What should she do? .c. What is the z-score for this sample? .d. What conclusion do you draw about your sample? .
3. Can SAT scores predict college performance? Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation. A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58 The scatter diagram for the SAT score and GPA is given below: (a) Find the sample correlation coefficient r. Truncate to two decimal places. What does the value tell you about the data? (b) Find the equation of the least squares line . Truncate to four decimal places. What does the slope mean? (c) Find the value of the coefficient of determination . Truncate to two decimal places. What does this number mean? (d) What is the predicted GPA if a computer science major got a…
1.A chi-square test for independence is being used to evaluate the relationship between two variables, one of which is classified into 3 categories and the second of which is classified into 4 categories. What is the df value for the chi-square statistic? Group of answer choices A.6 B.11 C.4 D.10
10. For which of the following cases would you use a t-test statistic? A. Where the population distribution is not normal, the population variance is not known and the sample size is below 25. B. Where the population distribution is not normal but the population variance is known. C. Where the population distribution is normal, the population variance is not known and the sample size is below 25. D. Where the population distribution is normal, the population variance is known and the sample size is 25 or more.

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