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The lines of best fit is the trend line of the dataset.
The equation of line of best fit is
The time for 22 leg-press reps is 11.9 seconds
(a) The equation of the line of best fit
The table is given as:
(x) : 12 32 7 26 28 15 1
(y) : 8.6 14.6 7.1 8.3 11.9 19.4 9.5
To determine the equation of line of best fit, we make use of a regression calculator.
Enter the above dataset in a regression calculator, the equation is:
-- approximated to three decimal places
(b) The number of seconds for 22 leg-press reps
This means that x = 22.
So, we have:
Approximate to the nearest tenth
Hence, the time for 22 leg-press reps is 11.9 seconds
The equation of line of best fit is
The time for 22 leg-press reps is 11.9 seconds
(a) The equation of the line of best fit
The table is given as:
(x) : 12 32 7 26 28 15 1
(y) : 8.6 14.6 7.1 8.3 11.9 19.4 9.5
To determine the equation of line of best fit, we make use of a regression calculator.
Enter the above dataset in a regression calculator, the equation is:
-- approximated to three decimal places
(b) The number of seconds for 22 leg-press reps
This means that x = 22.
So, we have:
Approximate to the nearest tenth
Hence, the time for 22 leg-press reps is 11.9 seconds
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A large company wants to find out what team-building activity its employees prefer. Which of the following samples can give the most valid generalization?(1 point)
Responses
a group with one member from each department
a group with one member from each department
all 624 female employees in the company
all 624 female employees in the company
all employees who have worked in the company for 5 years or more
all employees who have worked in the company for 5 years or more
400 randomly chosen employees from the list of all employees
400 randomly chosen employees from the list of all employees
A large company wants to find out what team-building activity its employees prefer. Which of the following samples can give the most valid generalization?(1 point)
Responses
a group with one member from each department
a group with one member from each department
all 624 female employees in the company
all 624 female employees in the company
all employees who have worked in the company for 5 years or more
all employees who have worked in the company for 5 years or more
400 randomly chosen employees from the list of all employees
400 randomly chosen employees from the list of all employees
The sample with 400 randomly chosen employees from the list of all employees can give the most valid generalization as it represents a diverse group of employees and reduces the possibility of bias.
A hotel maintenance crew wants to estimate how many of the 12,000 lamps in their 30-story hotel need a new light bulb. Which of the following is a random sample of lamps to be inspected?(1 point)
Responses
100 lamps on each floor chosen randomly
100 lamps on each floor chosen randomly
all lamps in booked rooms
all lamps in booked rooms
400 lamps on the first 10 floors
400 lamps on the first 10 floors
all lamps from the rooms with king-sized beds
Responses
100 lamps on each floor chosen randomly
100 lamps on each floor chosen randomly
all lamps in booked rooms
all lamps in booked rooms
400 lamps on the first 10 floors
400 lamps on the first 10 floors
all lamps from the rooms with king-sized beds
400 lamps on the first 10 floors would be a random sample to inspect as it represents a diverse sample of lamps from different floors and reduces the possibility of bias.
A local library manager randomly surveys 80 patrons about the type of book they borrow when they visit the library. The manager finds that 3 patrons borrow novels. If the local library has 345 patrons, approximately how many of them borrow novels when they visit the library? Round your answer to the nearest whole number. (1 point)
To estimate how many of the 345 patrons borrow novels, we can use proportion.
Proportion of patrons who borrow novels = (number of patrons who borrow novels in the sample) / (total number of patrons in the sample)
Proportion of patrons who borrow novels = (3/80)
To estimate how many of the 345 patrons borrow novels, we can set up a proportion and solve for x:
(3/80) = (x/345)
Cross-multiplying, we get:
80x = 3 * 345
x = 12.1875
Rounding to the nearest whole number, approximately 12 of the 345 patrons borrow novels when they visit the library.
Proportion of patrons who borrow novels = (number of patrons who borrow novels in the sample) / (total number of patrons in the sample)
Proportion of patrons who borrow novels = (3/80)
To estimate how many of the 345 patrons borrow novels, we can set up a proportion and solve for x:
(3/80) = (x/345)
Cross-multiplying, we get:
80x = 3 * 345
x = 12.1875
Rounding to the nearest whole number, approximately 12 of the 345 patrons borrow novels when they visit the library.