A table listing pairs of values for Length in feet represented by x and Cost in thousands of dollars represented by y. Length, o
r X values: 27, 18, 25, 32, 18, 26, 36. Cost, or Y values: 94, 56, 58, 123, 60, 87, 145.
a. Use a graphing calculator to find the equation of the line of best fit. Round the slope to the nearest tenth and the y -intercept to the nearest integer.
y= ______
b. Identify the correlation coefficient. Round to the nearest thousandth.
r=_________
Question 2
Interpret the correlation coefficient.
The data show a _______ correlation.
Question 3
c. Interpret the slope and the y -intercept of the line of best fit.
A.The slope, m , means the cost of a sailboat decreases by m thousands of dollars for each foot the length of the sailboat increases. The y -intercept, b , has no meaning because the length of the sailboat cannot be negative.
B.The slope, m , means the cost of a sailboat decreases by m thousands of dollars for each foot the length of the sailboat increases. The y -intercept, b , indicates the smallest length of a sailboat.
C.The slope, m , means the cost of a sailboat increases by m thousands of dollars for each foot the length of the sailboat increases. The y -intercept, b , has no meaning because the cost of the sailboat cannot be negative.
D.The slope, m , means the cost of a sailboat increases by m thousands of dollars for each foot the length of the sailboat increases. The y -intercept, b, indicates the initial cost of the sailboat.
Question 4
d. Use the model from part (a) to approximate the cost of a sailboat that is 20 feet long.
The sailboat costs $______.
e. Use the model from part (a) to predict the length of a sailboat that costs $147,000. Round to the nearest foot.
The length is about _______ feet.
a. Use a graphing calculator to find the equation of the line of best fit. Round the slope to the nearest tenth and the y -intercept to the nearest integer.
y= ______
b. Identify the correlation coefficient. Round to the nearest thousandth.
r=_________
Question 2
Interpret the correlation coefficient.
The data show a _______ correlation.
Question 3
c. Interpret the slope and the y -intercept of the line of best fit.
A.The slope, m , means the cost of a sailboat decreases by m thousands of dollars for each foot the length of the sailboat increases. The y -intercept, b , has no meaning because the length of the sailboat cannot be negative.
B.The slope, m , means the cost of a sailboat decreases by m thousands of dollars for each foot the length of the sailboat increases. The y -intercept, b , indicates the smallest length of a sailboat.
C.The slope, m , means the cost of a sailboat increases by m thousands of dollars for each foot the length of the sailboat increases. The y -intercept, b , has no meaning because the cost of the sailboat cannot be negative.
D.The slope, m , means the cost of a sailboat increases by m thousands of dollars for each foot the length of the sailboat increases. The y -intercept, b, indicates the initial cost of the sailboat.
Question 4
d. Use the model from part (a) to approximate the cost of a sailboat that is 20 feet long.
The sailboat costs $______.
e. Use the model from part (a) to predict the length of a sailboat that costs $147,000. Round to the nearest foot.
The length is about _______ feet.
2 answers:
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Answer:
probability that all the 15 students selected are girls
Step-by-step explanation:
The selection is from a sample without replacement, so we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
All girls from the first group:
20 students, so
10 girls, so
5 students will be selected, so
We want all of them to be girls, so we find P(X = 5).
All girls from the second group:
20 students, so
5 girls, so
5 students will be selected, so
We want all of them to be girls, so we find P(X = 5).
All girls from the third group:
20 students, so
8 girls, so
5 students will be selected, so
We want all of them to be girls, so we find P(X = 5).
All 15 students are girls:
Groups are independent, so we multiply the probabilities:
probability that all the 15 students selected are girls