
Concept explainers
a.
Sketch a graph of the regression line.
a.

Answer to Problem 10PPS
Explanation of Solution
Given information:
The table at the right shows the relationship between the number of students in a mathematics class and the average grade for each class.
Make a
Calculation:
Consider the table provided in the textbook which shows the relationship between the number of students in a mathematics class and the average grade of each class.
Make a scatter plot for the data using
First press STAT key. Then select option 1 for the list editor and press ENTER.
Enter the value of
Press WINDOW key and set the viewing window to fit the data.
Press 2nd key and then MODE, to quit list editor. Now, press 2nd key followed by
Press ENTER to get the stat plot in ON mode. Then scroll down, select scatter and press ENTER. Then press ENTER corresponding to
Press ZOOM key followed by the key
Enter the values for
Enter
Press ENTER to get the value of
Hence the equation for line of regression is
Enter the values for
Press 2nd key and then MODE, to quit list editor. Now, press 2nd key followed by
Press ENTER to get the stat plot in ON mode. Then scroll down, select line of regression and
Press ENTER. Then press ENTER corresponding to
Press zoom key followed by the key 9, to display the graph of a linear regression.
b.
What is the
b.

Answer to Problem 10PPS
Explanation of Solution
Given information:
The table at the right shows the relationship between the number of students in a mathematics class and the average grade for each class.
What is the
Calculation:
To calculate the correlation coefficient, press 2nd key and the 0 key to enter your calculator’s catalog. Scroll until you see “diagnostics ON”.
Press ENTER until the calculator screen says “Done”
Enter the values for
Then press 2nd key and then MODE, to quit list editor. Now press STAT key and choose CALC and select option 4 to obtain the correlation coefficient.
Enter
Press ENTER to get the correlation coefficient.
Hence, the correlation coefficient of the data is
c.
How accurate is the regression equation.
c.

Answer to Problem 10PPS
The average grade for the class decreases by about
Explanation of Solution
Given information:
The table at the right shows the relationship between the number of students in a mathematics class and the average grade for each class.
Describe the correlation? How accurate is the regression equation.
Calculation:
Consider the equation for line of regression.
It can be interpolated from the slope of regression line that the average grade for the class decreases by about
Hence, the average grade for the class decreases by about
Chapter 2 Solutions
Glencoe Algebra 2 Student Edition C2014
Additional Math Textbook Solutions
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Elementary Statistics: Picturing the World (7th Edition)
Algebra and Trigonometry (6th Edition)
University Calculus: Early Transcendentals (4th Edition)
College Algebra with Modeling & Visualization (5th Edition)
- 9:41 … 93 Applying an Exponential Function to Newton's Law of Cooling 60. Water in a water heater is originally Aa ← 122°F. The water heater is shut off and the water cools to the temperature of the surrounding air, which is 60°F. The water cools slowly because of the insulation inside the heater, and the value of k is measured as 0.00351. a. Write a function that models the temperature T (t) (in °F) of the water t hours after the water heater is shut off. b. What is the temperature of the water 12 hr after the heater is shut off? Round to the nearest degree. c. Dominic does not like to shower with water less than 115°F. If Dominic waits 24 hr. will the water still be warm enough for a shower? Mixed Exercises ger-ui.prod.mheducation.comarrow_forwardPlease use the infinite series formula and specify how you did each step. Thank you.arrow_forward8) Solve the given system using the Gaussian Elimination process. 2x8y = 3 (-6x+24y = −6arrow_forward
- 7) Solve the given system using the Gaussian Elimination process. (5x-4y = 34 (2x - 2y = 14arrow_forward33 (a) (b) Let A(t) = = et 0 0 0 cos(t) sin(t) 0-sin(t) cos(t)) For any fixed tЄR, find det(A(t)). Show that the matrix A(t) is invertible for any tЄ R, and find the inverse (A(t))¹.arrow_forwardUse the infinite geometric sum to convert .258 (the 58 is recurring, so there is a bar over it) to a ratio of two integers. Please go over the full problem, specifying how you found r. Thank you.arrow_forward
- H.w: Find the Eigen vectors for the largest Eigen value of the system X1+ +2x3=0 3x1-2x2+x3=0 4x1+ +3x3=0arrow_forwardneed help with 5 and 6 pleasearrow_forward1) Given matrix A below, answer the following questions: a) What is the order of the matrix? b) What is the element a13? c) What is the element a₁₁? 4 -1arrow_forward
- [25 points] Given the vector let v = ER² and the collection of vectors ε = E-{)·()}-{☹) (9)} = {(A)·(9)}· B: = and C = · {(6)·(})}· answer the following question. (a) (b) (c) (d) (e) verify Verify is a basis for R² and find the coordinate [] of under ε. Verify B is a basis for R2 and find the coordinate []B of ʊ Verify C is a basis for R2 and find the coordinate []c of under ε. under ε. Find the change-of-basis matrix [I]+B from basis B to basis ε, and EE+BUB Find the change-of-basis matrix [I]B+ε from basis Ɛ to basis B, and verify [U]B= [] B+EVEarrow_forwardExplain the following terms | (a) linear span (b) dimension of vector space (c) linearly independent (d) linearly dependent (e) rank of matrix Aarrow_forward3. Let u = 3/5 √ = and = -4/5 -() Define V span{ū, }. (a) (b) (c) Show that {u, } is orthonormal and forms a basis for V. Explicitly compute Projy w. Explicitly give a non-zero vector in V+.arrow_forward
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education





