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:
You might be interested in
9514 1404 393
Answer:
(i) 55.59 km/h
(ii) 3600 nautical miles ≈ 6670.8 km
(iii) 30°N 29.3°E
Step-by-step explanation:
(i) The speed in km/h requires a units conversion.
(30 kt/h)(1.853 km/kt) = 55.59 km/h
__
(ii) Here, we assume we're interested in the <em>distance traveled</em>. If the course is "due east", we presume that means it follows the 30° latitude line, so is not the shortest route between A and B. That is, the distance from A to B will be different from the distance traveled. (The shortest route from A to B is along a great circle.)
distance = speed × time
distance = (30 kt/h)(120 h) = 3600 nautical miles
= (55.59 km/h)(120 h) = 6670.8 km
__
(iii) The radius of the 30° latitude line is ...
(6370 km)(cos(30°)) = 3185√3 km ≈ 5516.58 km
The relationship between arc length (s) and central angle (α) is ...
s = rα
So, the change in the vessel's longitude is ...
α = (6670.8 km)/(5516.58 km) ≈ 1.20923 radians ≈ 69.28°
Then town B has longitude ...
40°W -69.3° = -29.3°W = 29.3°E
The position of town B is about 30°N 29.3°E.
_____
<em>Additional comment</em>
The route supposedly taken by this sea vessel is from the middle of the North Atlantic to a town in northern Egypt, through the northern Sahara desert. The eastern end point is shown in the attachment.
Some spherical trigonometry is involved if you want to find the end point of the great-circle route of the same length.
Answer:
5
Step-by-step explanation:
Assuming both players can answer the same question, the minimum number of questions is the smallest number that when multiplied by either 0.60 or 0.80 yields a whole number.
Let x be the number of questions, solving by trial and error:
Therefore, the minimum number of questions in the game is 5.