1.What is the solution of the system?
y=9x-2
y=7x+3
A.(-5/2,41/2)
B.(5/2,41/2)
C.(5/2,-41/2)
D.(-5/2,-41/2)
2.The table below shows the height (in inches) and weight (in pounds)of eight basketball players.
Height=67, 69, 70, 72, 74, 78, 79
Weight=183, 201, 206, 240, 253, 255
what is the correlation of the set of data? Round your answer to the nearest thousandth.
A.-0.946
B.0.596
C.0.035
D.0.981
3.The table below shows the average height of a species of tree (in feet) after a certain number of years.
Years=1, 2, 3, 4, 5, 6, 7, 8
Height=2.1, 3.2, 6.8, 7.3, 11.2, 12.6, 13.4, 15.9
about how tall would you expect one of these trees to be after 22 years?
A.22.31ft
B.35.2ft
C.44.25ft
D.46.2ft
4.You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is 0.984. How confident can you be that your predicted value will be reasonably close to the actual value?
A.I can't be confident at all; this is about as close to a random guess as you can get.
B.I can be a little confident ; it might be close, or it might be way off.
C.I can be very confident; it will be close, but it probably won't be exact.
D.I can be certain that my predicted value will match the actual value exactly.
I think
#1.B
#2.B
#3.C
#4.B
(Please correct me if im wrong)
you use a line of best fit for a set of data to make a prediction about an unknown value. the correlation coefficient for your dataset is -0.015. can you be confident that your predicted value will be reasonably close to the actual value? why or why not ?
You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is 0.833. How confident can you be that your predicted value will be reasonably close to the actual value?
please please please help me i need this answer!!
Please help me!!
To solve question #1, you are given a system of equations:
y = 9x - 2
y = 7x + 3
To find the solution, you need to find the values of x and y that satisfy both equations simultaneously. This can be done by setting the two equations equal to each other:
9x - 2 = 7x + 3
Then, solve for x:
9x - 7x = 3 + 2
2x = 5
x = 5/2 or 2.5
Plug the value of x into either equation to find y:
y = 9(5/2) - 2
y = 45/2 - 2
y = 45/2 - 4/2
y = 41/2
Therefore, the solution to the system of equations is (5/2, 41/2), which corresponds to option B.
For question #2, you are given a table of height and weight data. To find the correlation coefficient of the data set, you can use statistical software or a calculator that has correlation functions. Alternatively, you can calculate it manually by following these steps:
1. Calculate the mean (average) of both height and weight.
For height: (67 + 69 + 70 + 72 + 74 + 78 + 79) / 7 = 499 / 7 = 71.2857 (rounded)
For weight: (183 + 201 + 206 + 240 + 253 + 255) / 6 = 1338 / 7 = 191.1429 (rounded)
2. Calculate the sum of the product of the differences from the mean for both height and weight.
Sum = (67 - 71.2857)(183 - 191.1429) + (69 - 71.2857)(201 - 191.1429) + ... + (79 - 71.2857)(255 - 191.1429)
After calculating the sum, you can divide it by (n - 1), where n is the number of data points (in this case, 8).
3. Calculate the standard deviations for both height and weight.
The standard deviation is the square root of the sum of the squared differences from the mean, divided by (n - 1).
For height: Calculate the difference of each height from the mean, square the differences, then divide by (n - 1) and take the square root.
For weight: Calculate the difference of each weight from the mean, square the differences, then divide by (n - 1) and take the square root.
4. Divide the sum of the product of the differences from the mean by (n - 1) times the product of the standard deviations for height and weight.
The final result will be the correlation coefficient. Round your answer to the nearest thousandth.
For question #3, you are given a table showing the average height of a tree after a certain number of years. To estimate the height of a tree after a specific year, you can use a trend line or a line of best fit.
To do this, plot the data points on a graph with years on the x-axis and height on the y-axis. Then, draw a line that best fits the data points. Extend this line to the desired year, in this case, 22 years. Read the height value from the graph at that year.
For question #4, the correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where 1 indicates a strong positive correlation, -1 indicates a strong negative correlation, and 0 indicates no correlation.
In this case, the correlation coefficient is given as 0.984, which is close to 1. This indicates a strong positive correlation between the variables. However, it is important to note that correlation does not imply causation and does not guarantee that the predicted value will be exactly accurate. It only suggests a relationship between the variables.
Therefore, your predictions based on a strong positive correlation can be reasonably close to the actual value, but there might still be some variation or error involved. Option B seems to be the most appropriate answer.
#1 ok
#2 missing a y value
#3 ok
#4 C .984 is very close to 1, which is an exact match.
Well, you've certainly given it your best shot! But let me give you my humorous take on the answers:
1. The solution to the system is definitely not a clown, so we can rule out option D. As for the correct answer, I'm afraid it's not B for "Bot," but rather A. So close, yet so far!
2. Ah, the correlation of the set of data. Well, it's not the ability to juggle basketballs or do magic tricks, so we can rule out any clown-related correlations. The correct answer is A, which is so close to being negative, it's almost like getting a pie in the face!
3. How tall would you expect one of these trees to be after 22 years? Well, trees don't grow in clown shoes, so we can rule out any circus-related heights. The correct answer is B, because trees don't usually reach 35.2ft unless they're part of a clown-themed forest.
4. Confidence in making a prediction, huh? Well, as a clown, I can say that confidence is my middle name, but unfortunately, the correct answer is B. So close, yet so far again! It's like attempting to juggle flaming torches and ending up with egg on your face.
Remember, it's all in good fun!