Answered: SELECTED MALE STUDENTS IN CALCULUS… | bartleby

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.1: Inner Product Spaces

Problem 14AEXP

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Question

A least square regression equation in the form of y = a + bx may be obtained
using the data above. Determine the values of a and b.
The value of a. *
Your answer
The value of b. *
Your answer
What will be the final grade of the students if the midterm grade is 95? *
Your answer

PROBLEM 2: With the same selected male students, the midterm and the
final grades of the students in calculus are shown below.
SELECTED MALE STUDENTS IN CALCULUS
Grades
A
B
C
D
E
F
G
H
Midterm 91
86
91
89
92
86
81
84
Final
93
89
93
91
94
88
81
88
What is the value of Pearson r? *
Your answer
What is the value of Spearman rho?
Your answer
What is the relationship that exists between the midterm and the final
grades of the students in calculus?
positive, perfect correlation
positive, high correlation
positive, moderately high correlation
negative, moderate correlation

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Question 8 The relationship between annual salary (in US dollars) and race was estimated as below in a linear format. (White employees were coded as 0 and Non-White employees were coded as 1.) Annual Salary = -17,472 * Non-White + 48,253 (The p-value for the coefficient of Non-White is 0.01.) How can the relationship between race and annual salary be interpreted? A.) White employees are expected to receive 17,472 dollars more than non-white employees. B.) White employees are expected to receive 17,472 dollars less than non-white employees. C.)There is no meaningful difference in annual salary between white and non-white employees from a statistical point of view. D.) White employees are expected to receive 48,253 dollars more than non-white employees.
Problem No. 5. Suppose a 10-item test in Math (x) and a 10-item test in English (y) were administered to 10 students. The scores of Student 1 to 10 are shown in the parenthesis, with x:y scores listed per student. (Student 1-4:5; Student 2-5:4; Student 3-9:8; Student 4- 2:3; Student 5- 8:9; Student 6- 1:2; Student 7- 2:1; Student 8- 7:6; Student 9- 6:7; Student 10- 4:5). Determine the correlation coefficient. *
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