Please help me with this question.Thank you! **Learning Theory Study on Exam Retesting**Students in a learning theory study were given an exam and then retested monthly for 6 months with an equivalent exam. The data obtained in the study are shown in the table, where $ t $ is the time in months after the initial exam and $ s $ is the average score for the students.| $ t $ (months) | 1 | 2 | 3 | 4 | 5 | 6 ||:---------------|:---:|:---:|:---:|:---:|:---:|:---:|| $ s $ (score) | 84.7 | 78.2 | 72.6 | 68.8 | 66.7 | 65.6 |**Tasks:****(a)** Use a graphing utility to find a logarithmic model for the average score $ s $ in terms of the time $ t $. (Round your coefficients to two decimal places.)$ s(t) = $ [Input Field]**(b)** Use a graphing utility to plot the data and graph the model. How well does the model fit the data?- [ ] The model fits the data well.- [ ] The model does not fit the data well.**(c)** Find the rates of change of $ s $ with respect to $ t $ when $ t = 3 $ and $ t = 5 $. (Round your answer to one decimal place.)$ t = 3 $ [Input Field]$ t = 5 $ [Input Field]**(d)** Interpret the meaning of the rates of change found in part (c) in the context of the problem.After 3 months, the average score is decreasing at a rate of [Input Field] points. After 5 months, the average score is decreasing at a rate of [Input Field] points.

Name: Please help me with this question.Thank you! **Learning Theory Study o
Uploaded: 2024-03-20T07:06:27.000Z
Channel: Bartleby
Description: Please help me with this question.Thank you! **Learning Theory Study on Exam Retesting**Students in a learning theory study were given an exam and then retested monthly for 6 months with an equivalent exam. The data obtained in the study are shown in

Since you have posted a question with multiple subparts, we will solve the first three subparts for you. To get the remaining subparts solved please repost the complete question and mention the subparts to be solved. Given, t 1 2 3 4 5 6 s 84.7 78.2 72.6 68.8 66.7 65.6a)Find a logarithmic model for the average score s in terms of t: The general equation of model, s(t)=a+blnt Plug the value (1,84.7) in the general equation we get, 84.7=a+bln(1)84.7=a+b(0)a=84.7 Plug the value (2,78.2) in the general equation we get, 78.2=a+bln(2)78.2=84.7+bln(2)78.2-84.7=b(0.693147)-6.5=0.693147bb=-6.50.693147b=-9.37752b=-9.38 Therefore s(t)=84.7-9.38lntb)Graph the data given in the table, The model sets the data well,c)Find the rate of change of s with respect to t, s(t)=84.7-9.38lnt Differentiate with respect to t we get, s'(t)=0-9.381ts'(t)=-9.38t Put t=3 we get, s'(3)=-9.383=-3.1267s'(3)=-3.1 Put t=5 we get, s'(5)=-9.385=-1.876s'(5)=-1.9

Math

Calculus

Students in a learning theory study were given an exam and then retested monthly for 6 months with an equivalent exam. The data obtained in the study are shown in the cable, where t is the time in months after the initial exam and s is the average score for the students. 1 2 3 4 5 6 t 84.7 78.2 72.6 68.8 66.7 65.6 (a) Use a graphing utility to find a logarithmic model for the average score s in terms of the time t. (Round your coefficients to two decimal places.) s(t) = (b) Use a graphing utility to plot the data and graph the model. How well does the model fit the data? O The model fits the data well. O The model does not fit the data well. (c) Find the rates of change of s with respect to t when t = 3 and t = 5. (Round your answer to one decimal place.) t = 3 t = 5

Students in a learning theory study were given an exam and then retested monthly for 6 months with an equivalent exam. The data obtained in the study are shown in the cable, where t is the time in months after the initial exam and s is the average score for the students. 1 2 3 4 5 6 t 84.7 78.2 72.6 68.8 66.7 65.6 (a) Use a graphing utility to find a logarithmic model for the average score s in terms of the time t. (Round your coefficients to two decimal places.) s(t) = (b) Use a graphing utility to plot the data and graph the model. How well does the model fit the data? O The model fits the data well. O The model does not fit the data well. (c) Find the rates of change of s with respect to t when t = 3 and t = 5. (Round your answer to one decimal place.) t = 3 t = 5

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Related questions

Q: A. Two golfing venues offer bays that customers con reserve to play various golf ing games. The…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Some of the answer is incorrect, i need help

A: From the given information In the bookshelfNumber of math books = 7Number of novels = 9Number of…

Q: I have attached the picture of the question. Please answer section A, B, and C.

A: Part a:Denote μP, μA, μB, μC, μD as the mean effects of the placebo, and Drugs A, B, C, D…

Q: Please give me the answer again.

Q: Please show all steps and explain!

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 3) y2 5x +1

A: In this problem first we find the solution of the given problem and then we plot the given line…

Q: Level 4: Mastery 9. Create the graph of a function where the following statements are true A…

A: Consider the statements : f(0)=0f(5)=-2x>-3-5<y≤4

Q: Please help ? the second page is for reference for that other page meaning I just need the

A: The distribution for milk chocolate M & M's for red is 13%. Hypotheses can be constructed as,…

Q: Working is needed for this question.

A: Fact :- Two regions are adjacent if they share a common border.

Q: I need help solving these

A: From the provided information, The total male students = 776,281 Total students who received degrees…

Q: Let f be the exponential function defined by (2+2) f(2) = () and determine the folloving information…

Q: Please answer the other questions here (#2 and #3). Please confirm the answers. Thank you.

A: 1st answer is correct, given in the tutor solution. Because here (cosh y) is constant. 3rd option…

Q: Thank you, but could you please write your answer on a sheet of paper? I'm having trouble following…

Q: Solve the initial value problem dy 3x2 + 4x + 2 y(0) = –1. dx 2(у — 1) ||

Q: Can you please answer this question

Q: I got this wrong and I would love help on why and what the correct answer is, thank you!

A: Refer Standard normal table/Z-table, Lookup for z-score corresponding to area 0.98 to the left of…

Q: Will you show me step by step how to answer this, please?

A: Expected value:The expected value of a random variable is the sum of the possible values that the…

Q: s the function given by 1 7*+5, x+5, for x 8,

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: A company institutes an exercise break for its workers to see the effect on job satisfaction, as…

A: Consider that µd is the true mean difference of worker job satisfaction after the implementation of…

Q: Let X be the discrete random variable with the probability function f (x) = kx³ + 0.15 %3D for x =…

Q: I need help with this question

A: Given:

Q: The answer is incorrect, please give me the correct answer.

Q: I have a question regarding the question B. Can you please help me? Thanks

A: To use normal approximation, the following conditions should be satisfied. np>5 and n(1-p)>5

Q: I need help with this question

A: First factor the equation

Q: Can you please answer this question

A: Given that :∫−60f(x)dx=−8∫06f(−x)dx=−8If f(x) is even function, then f(-x) = f(x) . Hence, FOR…

Q: Can you draw a table so I can understand better

A: Start with a in the column one and make possible pairs. Then go with b, then c and then so on.

Concept explainers

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.

Topic Video

Question

Please help me with this question.

Thank you!

**Learning Theory Study on Exam Retesting**

Students in a learning theory study were given an exam and then retested monthly for 6 months with an equivalent exam. The data obtained in the study are shown in the table, where $ t $ is the time in months after the initial exam and $ s $ is the average score for the students.

| $ t $ (months) | 1 | 2 | 3 | 4 | 5 | 6 |
|:---------------|:---:|:---:|:---:|:---:|:---:|:---:|
| $ s $ (score) | 84.7 | 78.2 | 72.6 | 68.8 | 66.7 | 65.6 |

**Tasks:**

**(a)** Use a graphing utility to find a logarithmic model for the average score $ s $ in terms of the time $ t $. (Round your coefficients to two decimal places.)

$ s(t) = $ [Input Field]

**(b)** Use a graphing utility to plot the data and graph the model. How well does the model fit the data?

- [ ] The model fits the data well.
- [ ] The model does not fit the data well.

**(c)** Find the rates of change of $ s $ with respect to $ t $ when $ t = 3 $ and $ t = 5 $. (Round your answer to one decimal place.)

$ t = 3 $ [Input Field]

$ t = 5 $ [Input Field]

**(d)** Interpret the meaning of the rates of change found in part (c) in the context of the problem.

After 3 months, the average score is decreasing at a rate of [Input Field] points. After 5 months, the average score is decreasing at a rate of [Input Field] points.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Data Collection, Sampling Methods, and Bias$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

Thank you. I asked 5 questions tonight and this is the first one that I for a correct answer.
please could you solve the questions are highlighted with yellow color. please show all work.
please help me, I have asked that question a lot of times, and anyone is able to do it please help
really need help understanding, thanks.
Can you please answer this question
Can i get the explanation please?
Sorry, I needed help with the last part of the question
can you please write the answers in the same way as the question is asking
Please help me with part 14, thank-you
Still not sure how you came to this answer. Can you elaborate?
This question is really confusing to me. Please help.