Answers
Step-by-step explanation:
always remember Pythagoras for right-angled triangles :
c² = a² + b²
c is the Hypotenuse (the side opposite of the 90° angle), a and b are the legs.
this principle must be always fulfilled, otherwise it is not a right-angled triangle.
when your have a triangle problem (particularly for a right-angled triangle) with only side information, there is a high chance that you need to use Pythagoras.
in our case
(2×sqrt(3))² = x² + (sqrt(3))²
4×3 = x² + 3
12 = x² + 3
x² = 9
x = 3
that's all.
FYI : sqrt(x²) has actually 2 solutions : -x and +x, as both are squared equal to x².
but a negative number does not make any sense for general side lengths and similar things. so, the positive solution here is the only valid one.
Related Questions
Which expression is equivalent to the expression shown?
please help
Answers
No worries
Answer:
b) \(4a^{2} b^{2} c^3[\sqrt[3]{b} ]}\)
Step-by-step explanation:
CAN SOMEONE PLEASE HELP MEEEE!!!! I’ll give extra points
Answers
Answer:
35/37
Step-by-step explanation:
In this question, we are to calculate the ratio that represents the cosine of angle O
Firstly, please check the attachment for the diagram of the triangle.
Mathematically, the trigonometric term Cos means the ratio of the length of the adjacent to that of the hypotenuse
The hypotenuse is the longest length which is 37 which represents the length ON
The side adjacent to angle O is the side OP which is 35
Thus, the ratio representing the cosine of angle O is 35/37
A parallelogram in a coordinate plane is translated, rotated, and then reflected. Which of the following statements about the parallelogram and its final image are true？
Answers
The true statements about the image of the parallelogram are,
The corresponding sides have different lengths.
The parallelograms are congruent.
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given, A parallelogram in a coordinate plane is translated, rotated, and then reflected.
In the case of translation, rotation and reflection would only change its coordinate points, and the preimage and image will be congruent.
The coordinate points of the vertices would only change if given.
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The distribution of ocean wave height at a certain California beach is approximately normal with mean 7.2 feet. The distribution of ocean wave height at a certain Florida beach is approximately normal with mean 6.6 feet. Six waves from each beach will be selected at random and the heights will be recorded. Let xc represent the sample mean height of the 6 California waves, and let xF represent the sample mean height of the 6 Florida waves. Which of the following is the best interpretation of P(xc - xf > 0.5) = 0.55 ? A. The probability that the heights for all 6 California waves will exceed the heights for all 6 Florida waves by more than 0.55 feet is 0.5. B. The probability that the heights for all 6 California waves will exceed the heights for all 6 Florida waves by more than 0.5 feet is 0.55. C. The probability of observing a difference (California minus Florida) greater than 0.5 feet between the mean heid of 6 California waves and the mean height of 6 Florida waves is 0.55. D. The probability of observing a difference greater than 0.5 feet between the height of one wave in California and the height of one wave in Florida is 0.55. E. The probability of observing a difference greater than 0.55 feet between the height of one wave in California and the height of one wave in Florida is 0.5.
Answers
The probability of observing that the difference between the average height of the 6 waves in California and the average height of the 6 waves in Florida (California minus Florida) is greater than 0.5 feet is 0.55.
A beach in California has an almost normal distribution of wave heights, averaging 7.2 feet. The wave height distribution on a Florida beach is about normal, average 6.6 feet. Six waves are randomly selected from each beach and the heights are recorded.
Probability distributions generate the possible outcomes of any random event. It also defines the set of possible outcomes for any random experiment based on the underlying sample space. These parameters can be a set of real numbers or a set of vectors or a set of any entity. This is part of probability statistics.
A randomized experiment is defined as the result of an experiment whose outcome cannot be predicted.
Suppose if we toss a coin, we cannot predict whether the outcome will be heads or tails. The possible outcomes of a random experiment are called outcomes. The resulting set is called a sample point. With these experiments or events, we can always create tables of probability models based on variables and probabilities.
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A triangle has two sides of lengths 5 and 12. What value could the length of
the third side be? Check all that apply.
A. 9
B. 19
C. 5
D. 7
E. 17
F. 11
Answers
Answer:
Answer is A and F.
Step-by-step explanation:
To form a triangle the sum of any 2 sides must be greater than the third side.
The answer is not:
B as 5 + 12 < 19
C. as 5+5 < 12
D, as 7 + 5 = 12
E as 5 + 12 = 17
Answer is A and F.
which equation is perpendicular to 2y = 8x+7?
Answers
Answer:
2y=-1/8x+7
Step-by-step explanation:
Answer:
Rewrite equestion
8x - 2y= -7
100 points & i'll give brainliest!
find the indicated intersection or union. express your answers in interval notation
(-1,1) U [0,6]
Answers
The first interval goes from -1 to 1 (not including either endpoint).
The second interval goes from 0 to 6 (including both endpoints).
So, the first one starts at -1 and keeps going to the right, overlapping where the second one picks up and you keep going until you get to 6.
You still need to leave out -1 and include 6.
Answer: (-1,6]
Oscar buys his lunch in the school cafeteria. The cost of 15 school lunches is $33.75.
Which graph has a slope that best represents the average cost of the lunches in dollars per lunch?
Answers
Answer: first chart or what ever ur say
Step-by-step explanation:
4.33
The number of internal disk drives (in millions) made at a plant in Taiwan during the past 5 years follows:
YEAR
DISK DRIVES
1
140
2
160
3
190
4
200
5
210
a)Forecast the number of disk drives to be made next year, using linear regression.
b)Compute the mean squared error (MSE) when using linear regression.
c)Compute the mean absolute percent error (MAPE).
Could some please help? I would like to make sure my caculations are correct.
Thank you
Answers
(a) Forecast: Linear regression the next year is approx 191.6007.
(b) MSE: Mean Squared Error is approximately 249.1585.
(c) MAPE: Mean Absolute Percent Error is approximately 10.42%.
(a) (a) Forecast using linear regression:
To forecast the number of disk drives for the next year, we can use linear regression to fit a line to the given data points. The linear regression equation is of the form y = mx + b, where y represents the number of disk drives and x represents the year.
Calculating the slope (m):
m = (Σ(xy) - n(Σx)(Σy)) / (Σ(x^2) - n(Σx)^2)
Σ(xy) = (1)(140) + (2)(160) + (3)(190) + (4)(200) + (5)(210) = 2820
Σ(x) = 1 + 2 + 3 + 4 + 5 = 15
Σ(y) = 140 + 160 + 190 + 200 + 210 = 900
Σ(x^2) = (1^2) + (2^2) + (3^2) + (4^2) + (5^2) = 55
m = (2820 - 5(15)(900)) / (55 - 5(15)^2)
m = (2820 - 6750) / (55 - 1125)
m = -3930 / -1070
m ≈ 3.6729
Calculating the y-intercept (b):
b = (Σy - m(Σx)) / n
b = (900 - 3.6729(15)) / 5
b = (900 - 55.0935) / 5
b ≈ 168.1813
Using the equation y = 3.6729x + 168.1813, where x represents the year, we can predict the number of disk drives for the next year. To do so, we substitute the value of x as the next year in the equation. Let's assume the next year is represented by x = 6:
y = 3.6729(6) + 168.1813
y ≈ 191.6007
Therefore, according to the linear regression model, the predicted number of disk drives for the next year is approximately 191.6007.
(b) Calculation of Mean Squared Error (MSE):
To calculate the Mean Squared Error (MSE), we need to compare the predicted values obtained from linear regression with the actual values given in the data.
First, we calculate the predicted values using the linear regression equation: y = 3.6729x + 168.1813, where x represents the year.
Predicted values:
Year 1: y = 3.6729(1) + 168.1813 = 171.8542
Year 2: y = 3.6729(2) + 168.1813 = 175.5271
Year 3: y = 3.6729(3) + 168.1813 = 179.2000
Year 4: y = 3.6729(4) + 168.1813 = 182.8729
Year 5: y = 3.6729(5) + 168.1813 = 186.5458
Next, we calculate the squared difference between the predicted and actual values, and then take the average:
MSE = (Σ(y - ŷ)^2) / n
MSE = ((140 - 171.8542)^2 + (160 - 175.5271)^2 + (190 - 179.2000)^2 + (200 - 182.8729)^2 + (210 - 186.5458)^2) / 5
MSE ≈ 249.1585
The Mean Squared Error (MSE) for the linear regression model is approximately 249.1585.
This value represents the average squared difference between the predicted values and the actual values, providing a measure of the accuracy of the model.
(c) Calculation of Mean Absolute Percent Error (MAPE):
To calculate the Mean Absolute Percent Error (MAPE), we need to compare the predicted values obtained from linear regression with the actual values given in the data.
First, we calculate the predicted values using the linear regression equation: y = 3.6729x + 168.1813, where x represents the year.
Predicted values:
Year 1: y = 3.6729(1) + 168.1813 ≈ 171.8542
Year 2: y = 3.6729(2) + 168.1813 ≈ 175.5271
Year 3: y = 3.6729(3) + 168.1813 ≈ 179.2000
Year 4: y = 3.6729(4) + 168.1813 ≈ 182.8729
Year 5: y = 3.6729(5) + 168.1813 ≈ 186.5458
Next, we calculate the absolute percent error for each year, which is the absolute difference between the predicted and actual values divided by the actual value, multiplied by 100:
Absolute Percent Error (APE):
Year 1: |(140 - 171.8542) / 140| * 100 ≈ 18.467
Year 2: |(160 - 175.5271) / 160| * 100 ≈ 9.704
Year 3: |(190 - 179.2000) / 190| * 100 ≈ 5.684
Year 4: |(200 - 182.8729) / 200| * 100 ≈ 8.563
Year 5: |(210 - 186.5458) / 210| * 100 ≈ 11.682
Finally, we calculate the average of the absolute percent errors:
MAPE = (APE₁ + APE₂ + APE₃ + APE₄ + APE₅) / n
MAPE ≈ (18.467 + 9.704 + 5.684 + 8.563 + 11.682) / 5 ≈ 10.42
The Mean Absolute Percent Error (MAPE) for the linear regression model is approximately 10.42%.
This value represents the average percentage difference between the predicted values and the actual values, providing a measure of the relative accuracy of the model.
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Suppose that scores on a recent statistics exam were normally distributed, that students in the 80th percentile of scores earned 85 points, and that students in the 30th percentile of scores earned 65 points. What was the mean of all exam scores in the class?.
Answers
The mean of all exam scores in the class is 72.67 ~ 73 . Mean is ratio of sum of score in all exam to the total numbers of all exams.
The exam scores are normally distributed , normally distributed is an arrangement in which most of values in middle and rest are symmetrically distributed at the ends 80th percentile of scores earned 85 it implies that 80% of students score is 85 or less and 30th percentile of scores earned 65 means 30% of students score is 65 or less .
Z-score value for 80th percentile is 0.841
Z-score value for 30th percentile is – 0.524
Formula for normally distributed,
Z =( X – μ) / σ
where μ is mean of scores , σ is standard deviations of scores ,X is sample mean
For 80th percentile , X= 85 , Z= 0.841
0.841=( 85- μ) /σ ----(1)
-0.524= (65-μ) / σ ----(2)
Solving equations (1) and (2)
- (841/524)= (85-μ )/( 65-μ) => 841μ – 841(65) = -524μ +85(524)
⇒ 1365μ= 99,205 => μ= 72.67
So, the value of mean of scores obtained by students in a class is 72.67 ~ 73
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Mr. and Mrs. Toliver’s AGI on their jointly filed return is $339,000. Regardless of the number of their children, the Tolivers are not eligible for a child credit. TRUEMr.and Mrs. Casey have two dependent children, ages 3 and 6. The Caseys spent $10,300 for child care this year. Mrs. Casey is employed full-time as an attorney. Mr. Casey is an unpublished novelist who has yet to earn any The earned income credit is only available to low-income taxpayers with dependent children. FALSE
The earned income credit offsets the burden of the federal payroll tax on low-income families and encourages individuals to seek employment rather than to depend on welfare. TRUEMrs. Starling worked for Abbot Inc. from January 1 through September 19. Her salary from Abbot for this period totaled $122,000. Mrs. Starling worked for JJT Inc. from October 1 through December 31. Her salary from JJT
Answers
The first statement is true, as the Tolivers are not eligible for a child credit regardless of the number of their children. However, the second statement is false, as the earned income credit is available to low-income taxpayers with dependent children.
The earned income credit helps to offset the burden of the federal payroll tax on low-income families and encourages individuals to seek employment rather than depend on welfare. Finally, the information about Mrs. Starling's employment does not provide enough information to determine any tax-related implications.
The statement regarding Mr. and Mrs. Toliver not being eligible for a child credit is true. Their Adjusted Gross Income (AGI) is $339,000, which is above the income threshold for eligibility for the child tax credit. The credit phases out for joint filers with AGI over $400,000, and they are not eligible due to their high income.
Regarding the Caseys, the earned income credit (EIC) is only available to low-income taxpayers with dependent children. The EIC helps offset the burden of federal payroll taxes on low-income families and encourages individuals to seek employment instead of relying on welfare. In the case of the Caseys, since Mrs. Casey is employed full-time as an attorney and Mr. Casey is an unpublished novelist with no income, they might not qualify for the EIC as they might not be considered low-income, depending on Mrs. Casey's salary.
Mrs. Starling worked for Abbot Inc. and earned $122,000 during her time there. She later worked for JJT Inc., and her salary from both companies should be combined to determine her total income for the year. Based on the given information, Mrs. Starling's total income can be used to determine her tax liabilities and eligibility for tax credits or deductions.
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A tram moved upward 18 meters in 6 seconds at a constant rate. what was the change in the trams elevation each second?
Answers
Answer:
3 meters per second.
Step-by-step explanation:
Change in elevation = distance / time
= 18/6
= 3 meters / second.
.
I need help on how to do these my teacher didn’t explain it to me
Answers
Answer:
Step-by-step explanation:
on the first one we see that they are outer angles and they are also congruent making the missing angle the same as 66
for the second one if we turn the graph around making the lines how a H shape we see the missing angle and the given angle are in the same line, and we know a straight line makes it 180, so we need to find what the other angle is using the given angle so we subtract from 180, 180-80 = 100
so the missing angle is 100 making it congruent to the other missing angle that was with the 80
for the last one by now we should know what vertical angles are, they are directly across from each other, and we see that they arent really like in the same part of the line, but we know that the one congruent to the 128 is the outer right angle, making the missing angle congruent because they are vertical angles making the missing angle 128 too
(did that make sense?)
Is 82 inches grater than 5feet and 10 inches
Answers
Answer:
False, 82 inches is not greater than 5 feet and 10 inches
Step-by-step explanation:
1 feet = 12 inches
5x12=60+10=70
82 is greater than 70.
what is th answer to this question
Answers
The total surface area of the trapezoidal prism is S = 3,296 inches²
Given data ,
Let the total surface area of the trapezoidal prism is S
Now , the measures of the sides of the prism are
Side a = 10 inches
Side b = 32 inches
Side c = 10 inches
Side d = 20 inches
Length l = 40 inches
Height h = 8 inches
Lateral area of prism L = l ( a + b + c + d )
L = 40 ( 10 + 32 + 10 + 20 )
L = 2,880 inches²
Surface area S = h ( b + d ) + L
On simplifying the equation , we get
S = 2,880 inches² + 8 ( 52 )
S = 3,296 inches²
Hence , the surface area of prism is S = 3,296 inches²
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Which congruence theorem can be used to prove
ABR = RCA?
Answers
Answer: The HL Theorem can be used to prove ABR ≅ RCA because both triangles share the same hypotenuse and a leg. The HL theorem states that If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.
what is the sum of the geometric sequence 1,3,9... If there are 14 terms?
Answers
Answer:
Step-by-step explanation:
\(s_n=\frac{a(r^n-1)}{r-1},\ a=initial,\ r=common\ ratio,\ n=term\ number\\ \\ s_{14}=\frac{1(3^14-1)}{2}\\ \\ s_{14}=2391484\)
There are 5 identical coins, each with one side labeled heads and the other side labeled tails. You throw the coins on the floor and consider two possible outcomes: 1.) 4 coins show heads and 1 shows tails.
Answers
The probability of getting 4 coins showing heads and 1 showing tails is approximately 15.625%.
When throwing the 5 identical coins, there are a total of 32 possible outcomes. This is because each coin has 2 possible outcomes (heads or tails), and since there are 5 coins, we multiply 2 by itself 5 times \((2^5 = 32).\)
To determine the probability of getting 4 coins showing heads and 1 showing tails, we need to calculate the number of favorable outcomes. In this case, we have 5 different ways to choose which coin shows tails (since there are 5 coins), and for each of those choices, there is only 1 possible outcome where that specific coin shows tails and the other 4 coins show heads.
So, the probability of getting 4 coins showing heads and 1 showing tails is 5/32.
To calculate the probability as a decimal or percentage, we simply divide 5 by 32:
5/32 ≈ 0.15625 ≈ 15.625%
Therefore, the probability of getting 4 coins showing heads and 1 showing tails is approximately 0.15625 or 15.625%.
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There are 42 runners in a race. How many different ways can the runners finish first, second, and third?
Answers
Answer:
There are 68,640 different ways the runners can finish first, second, and third in the race.
Concept of Permutations
The number of different ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations.
Brief Overview
Since there are 42 runners competing for the top three positions, we have 42 choices for the first-place finisher. Once the first-place finisher is determined, there are 41 remaining runners to choose from for the second-place finisher. Similarly, once the first two positions are determined, there are 40 runners left to choose from for the third-place finisher.
Calculations
To calculate the total number of different ways, we multiply the number of choices for each position:
42 choices for the first-place finisher × 41 choices for the second-place finisher × 40 choices for the third-place finisher = 68,640 different ways.
Concluding Sentence
Therefore, there are 68,640 different ways the runners can finish first, second, and third in the race.
Expand and simplify the following expressions : 1.(a-5)(a-7)
2.(x-2y)(3x+4)
3.(4x+3y)(4x-3y)
4.(6x-7y)(6x+7y)
Answers
Answer:
1. (a-5)(a-7)
a2 - 12a + 35
2. (x-2y)(3x+4)
3x2 +4x - 6xy - 8y
3. (4x+3y)(4x-3y)
16x2 - 9y2
4. (6x-7y)(6x+7y)
36x2 - 49y2
(the twos after the letters means squared)
:)
What do you do to check whether a number is rational or irrational? In your explanation, use an example of an irrational and rational number
Answers
To check if a number is rational or irrational, try writing it as a fraction and simplifying. If it simplifies to integers, it is rational. If not, it is irrational.
To check whether a number is rational or irrational, you can follow these steps:
1. Rational numbers can be expressed as fractions of two integers, while irrational numbers cannot. To check if a number is rational, see if you can write it as a fraction.
2. If the number can be written as a fraction, simplify the fraction to its lowest terms. If the fraction simplifies to integers, then the number is rational.
3. If the number cannot be written as a fraction, it is irrational.
For example, let's check the number √2:
1. √2 cannot be written as a fraction of two integers, so it is not a rational number.
2. Since √2 cannot be simplified to integers, it is an irrational number.
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How do you know if a curve is positive or negative?
Answers
Positive curve graphs will be upward-sloping.
Negative curve graphs will be downward-sloping.
Both graphs in the first image attached below, show curves sloping upward from left to right. As with upward-sloping straight lines, we can say that generally the slope of the curve is positive. While the slope will differ at each point on the curve, it will always be positive.
In the graphs in the second image attached, both of the curves are downward sloping. Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.
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Straight lines that are downward sloping have negative slopes; curves that are downward sloping also have negative slopes. The slopes change from point to point on a curve, but all of the slopes along these two curves will be negative.
here are members on the board of directors for a certain non-profit institution. a. If they must elect a chairperson, first vice chairperson, second vice chairperson, and secretary, how many different slates of candidates are possible? b. If they must form an ethics subcommittee of four members, how many different subcommittees are possible?
Answers
Answer: 1320; 495
Step-by-step explanation:
Explanation is in the attachment file
Find the 9th term of the geometric sequence 6, -24, 96,
Answers
Step-by-step explanation:
the process is show in the above picture.
A regular pentagon has side lengths of 14.1 centimeters and an apothem with length 12 centimeters. what is the approximate area of the regular pentagon? 288 cm2 342 cm2 432 cm2 691 cm2
Answers
The approximated area of the pentagon that has side lengths of 14.1 cm and an apothem of 12 cm is 342 square centimeters
How to determine the area?The given parameters are:
Length, l = 14.1 cm
Apothem, a = 12 cm
The area of the pentagon is calculated using:
\(A= 0.25 * \sqrt{5 * (5 + 2\sqrt 5)} * l^2\)
So, we have:
\(A= 0.25 * \sqrt{5 * (5 + 2\sqrt 5)} * 14.1^2\)
Evaluate
A = 342
Hence, the approximated area of the pentagon is 342 square centimeters
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Answer:
342 cm2 B)
Step-by-step explanation:
edg2022
Jaydin set a reading goal for the summer. She will read 25 pages on the first day. Each of the
following days, she reads 7 more pages than she read on the previous day.
Which equation best represents the number of pages she will read on day n?
Answers
Therefore, the equation that represents the number of pages Jaydin will read on day n is:
y = 25 + 7(n - 1)
Simplifying the equation, we get:
y = 7n + 18
So, the equation that best represents the number of pages Jaydin will read on day n is y = 7n + 18.
Is (6, –2) a solution to this system of equations? y = –1/6 x − 1 y = 1/6 x − 3
Answers
Answer:
Yes, (6, -2) is a solution to the given system of equations.
Step-by-step explanation:
Please write y = –1/6 x − 1 y = 1/6 x − 3 as follows, for greater clarity:
y = (–1/6)x − 1
y = (1/6)x − 3
Let's actually solve this system:
y = (–1/6)x − 1
y = (1/6)x − 3
-----------------------
2y = -4, or y = -2
Now find x. Arbitrarily we choose to use the first equation for this purpose:
y = (-1/6)x - 1. We set y = -2 and find x: -2 = (-1/6)x - 1
Combining the constants, we get -1 = (-1/6)x, or 6 = x
Yes, (6, -2) is a solution to the given system of equations.
the two legs of a right triangle are measured as 5 m 5 m and 12 m 12 m with a possible error in measurement of at most 0.2 c m 0.2 cm in each. use differentials to estimate the maximum error in the calculated value of (a) the area of the triangle and (b) the length of the hypotenu
Answers
The Area of the triangle and the length of the hypotenuse is 170 cm² and 0.26 cm respectively.
Given that,
Let a = 5m and b =12 m .
Since it's a right angled triangle, c² = a²+b²
c= 13m
Error = 0.2 cm = 0.002 m
a) Area of triangle A = (1/2) a*b
dA = (1/2) d(ab) = (1/2) a (db)+b(da)
= 0.5(5*0.002+12*0.002)
= 0.017 m² or 170 cm²
b) Length of hypotenuse.
c² = a²+b²
Differentiate,
2c.dc = 2a.da + 2b.db
c dc = a da + b db
13*dc = 5*0.002+12*0.002
dc = 0.0026 m or 0.26 cm
As a result, the triangle's size is 170 cm² and its hypotenuse is 0.26 cm long.
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Music Company A charges a $15 membership fee and $0.75 each to download a song. Music
Company B charges $0.90 each to download a song with no membership fee. For what number of songs will both companies charge the same amount? Justify your answer
using mathematics.
Answers
Answer:
65656
Step-by-step explanation:
It has long been thought that the length of one's femur is positively correlated to the length of one's tibia. The following are data for a classroom of students who measured each (approximately) in inches. Femur Length Tibia Length 18.7 14.2 20.5 15.9 16.2 13.1 15.0 12.4 19.0 16.2 21.3 15.8 21.0 16.2 14.3 12.1 15.8 13.0 18.8 14.3 18.7 13.8 Regression Statistics Multiple R 0.9305 R Square 0.8659 Adjusted R Square 0.8510 Standard Error 0.5963 Observations ANOVA SS MS F Significance F Regression 1 20.6611 20.6611 58.0968 3.25116E-05 Residual 9 3.2007 0.3556 Total 10 23.8618 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 3.5850 1.4137 2.5359 0.0319 0.3871 6.7830 Femur Length 0.5899 0.0774 7.6221 0.0000 0.4148 0.7650 A strong linear correlation was found between the two variables. Find the standard error of estimate. Round answer to 4 decimal places.
Answers
The linear correlation between the given two variables be,
4.5y + 5.2x = 168.34
Given, data for a classroom of students who measured each (approximately) in inches.
Femur Length 18.7 14.2 20.5 15.9 16.2 13.1 15.0 12.4 19.0 16.2 21.3
Tibia Length 15.8 21.0 16.2 14.3 12.1 15.8 13.0 18.8 14.3 18.7 13.8
we have to find a linear correlation between the two variables,
linear correlation be,
(y - 15.8)/(x - 18.7) = (15.8 - 21.0)/(18.7 - 14.2)
(y - 15.8)/(x - 18.7) = (- 5.2)/4.5
4.5y - 71.1 = -5.2x + 97.24
4.5y + 5.2x = 168.34
So, the linear correlation between the given two variables be,
4.5y + 5.2x = 168.34
Hence, the linear correlation between the given two variables be,
4.5y + 5.2x = 168.34
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