Question

In: Statistics and Probability

A fitness instructor wants to understand the relationship between her heart rate during a workout and...

A fitness instructor wants to understand the relationship between her heart rate during a workout and the calories burned per minute during the workout. She recorded these two measurements over the course of several workouts. StatCrunch was used to create the output below:

For any numeric responses, round your answers to four decimal places.

  1. Use the regression equation to provide a point estimate for a workout when the average heart rate is 150 beats per minute: y =
  2. The fitness instructor would like to estimate the number of calories burned during a workout when her heart rate is 150 beats per minute. Which interval would be the most appropriate to provide?
    • prediction interval
    • confidence interval
  3. Interpret the interval you selected in part b: With 95% confidence, we estimate the Select an answer number of calories burned during a workout mean number of calories burned during all workouts  is between  and  when the average heart rate is  beats per minute.

Solutions

Expert Solution

Answer:

(a)

The model is;

y' = 0.0614x-1.7339

Predicted value for X = 150 is

y' = 0.0614*150-1.7339 = 7.4761

(b)

Here we need to make a confidence interval for predicted value of number of calories for an individual whose heart rate is 150 beats per minute so prediction interval will be used.

(c)

the number of calories is between 6.6374 and 8.3230 when average heart rate is 150 beats per minute.

[OR]

Solution:

a)

The estimated regression equation is given by Y = a + bX

Where Y : dependent variable

X : independent variable

a : Y - intercept

b : slope

thus the equation is Y = -1.7339468 + 0.061427752 (X)

substituting X = 150 in the equation we get

Y = -1.7339468 + 0.061427752 (150)

Y = 7.4802

b) prediction interval

c) we estimate the individual calories burned is between 6.6374 and 8.3230 when the average heart rate is 150 beats per minute

NOTE:: I HOPE THIS ANSWER IS HELPFULL TO YOU......**PLEASE SUPPORT ME WITH YOUR RATING......

**PLEASE GIVE ME "LIKE".....ITS VERY IMPORTANT  FOR,ME......PLEASE SUPPORT ME .......THANK YOU


Related Solutions

A statistics instructor wants to examine the relationship between the hours a student spends studying for...
A statistics instructor wants to examine the relationship between the hours a student spends studying for the final exam (Hours) and a student's grade on the final exam (Grade). She takes a sample of five students. Student x (Hours) y (Grade) 1 8 75 2 2 47 3 3 50 4 15 88 5 25 93 a. Computer the Average and Standard Deviation for x and y USING EXCEL. b. Computer the sample covariance for x & y USING EXCEL...
For a sample of 12 college football playes the mean heart rate after a morning workout...
For a sample of 12 college football playes the mean heart rate after a morning workout session was 86 beats per minute and the standard deviation of the sample was 8. find the 90% confidence interval of the true mean for all college football players after a workout session
An instructor wants to know if the color of the text on her handouts may impact...
An instructor wants to know if the color of the text on her handouts may impact student learning. They take a small random sample of students enrolled in their university and randomly assign each student to one of three groups: black text, blue text, or yellow text. Each participant receives a handout, with the respective text color. After studying for 5 minutes, they are given an assessment. Their scores on that assessment follow: Black text- 19, 17, 16, 15, 13...
I understand most of this information is more suitable to C++ but our instructor wants us...
I understand most of this information is more suitable to C++ but our instructor wants us to modify it to do it in Python. As long as you fufill the parameters the best you can in Python and works that all I want. Thank you Ask the user for the number of elements, not to exceed SORT_MAX_SIZE = 16 (put appropriate input validation) Ask the user for the type of data they will enter - Dollar or CIS22C_Dollar objects from...
. The relationship between marginal and average costs Consider the following scenario to understand the relationship...
. The relationship between marginal and average costs Consider the following scenario to understand the relationship between marginal and average values. Suppose Van is a professional basketball player, and his game log for free throws can be summarized in the following table. Fill in the columns with Van’s free-throw percentage for each game and his overall free-throw average after each game. Game Game Result Total Game Free-Throw Percentage Average Free-Throw Percentage 1 4/5 4/5 80 80 2 2/5 6/10 3...
To assess the relationship between number of absences and grades, an instructor collects data from the...
To assess the relationship between number of absences and grades, an instructor collects data from the ten students in a class and runs a simple regression. She finds a perfect negative relationship: as the number of absences goes up, grades go down. But then, the instructor remembers that there is an 11th person in the class: someone who never came to class but still managed somehow to get a perfect grade in the course. Conceptually (not mathematically) describe what will...
Deistic the relationship between heart rate and RPE. Does Borg's theory hold true? Do you think...
Deistic the relationship between heart rate and RPE. Does Borg's theory hold true? Do you think the RPE scale is a valuable way for someone to gauge their intensity?
4. The relationship between marginal and average costs Consider the following scenario to understand the relationship...
4. The relationship between marginal and average costs Consider the following scenario to understand the relationship between marginal and average values. Suppose Larry is a professional basketball player, and his game log for free throws can be summarized in the following table. Fill in the columns with Larry's free-throw percentage for each game and his overall free-throw average after each game. Game Game Result Season Total Game Free-Throw Percentage Average Free-Throw Percentage 1 6/8 6/8 75 75 2 2/8 8/16...
What is the relationship between the interest rate and futurevalue? What is the relationship between...
What is the relationship between the interest rate and future value? What is the relationship between the interest rate and present value? You can use intuition, math, or both to explain.
1. A statistics instructor at a Sultan aboos University would like to examine the relationship between...
1. A statistics instructor at a Sultan aboos University would like to examine the relationship between the number of optional homework problems students do during the semester and their course score. She randomly selects 10 students for study and asks them to keep track of the number of these problems completed during the course of the semester. Course Score (x) No. of Problem (y) 15.2 225 17.4 335 12.9 195 16.2 342 19.5 416 23.1 532 20.4 422 26.1 624...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT