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guapka [62]
3 years ago
13

Here are the golf scores of 12 members of a college women's golf team in two rounds of tournament play. (A golf score is the num

ber of strokes required to complete the course, so that low scores are better.) To what extent may we predict the second round score from the first round score? The standard error of the slope is 0.23.
a. Find a 95% confidence interval for the slope.

b. Find a 99% confidence interval for the slope.
Mathematics
1 answer:
Nuetrik [128]3 years ago
8 0
Mean = (89 + 90 + 87 + 95 + 86 + 81 + 102 + 105 + 83 + 88 + 91 + 79)/12 = 1,076/12 = 89.67

a.) 95% C.I. = 89.67 + or - 1.96(0.23) = 89.67 + or - 0.4508 = 89.22 to 90.12

b.) 99% C. I = 89.67 + or - 2.575(0.23) = 89.67 + or - 0.5923 = 89.08 to 90.26
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The cross product of two vectors gives a third vector \mathbf v that is orthogonal to the first two.

\mathbf v=(\vec i+\vec j+\vec k)\times(4\,\vec i+\vec k)=\begin{vmatrix}\vec i&\vec j&\vec k\\1&1&1\\4&0&1\end{vmatrix}=\vec i+3\,\vec j-4\,\vec k

Normalize this vector by dividing it by its norm:

\dfrac{\mathbf v}{\|\mathbf v\|}=\dfrac{\vec i+3\,\vec j-4\,\vec k}{\sqrt{1^2+3^2+(-4)^2}}=\dfrac1{\sqrt{26}}(\vec i+3\,\vec j-4\vec k)

To get another vector orthogonal to the first two, you can just change the sign and use -\mathbf v.
6 0
3 years ago
You spent $175 on a pair of shoes and three shirts. Each shirt cost the same amount. The shoes cost four times the amount of one
sergey [27]

Step-by-step explanation:

1. making the equation:

shoes = x

shirts = y

175 = x + 3y

x = 4y

2. graph it (I'm using desmos)

the green line is for 175 = x + 3y and the purple one is for x = 4y

3. find the price

x = 4y

175 = 4y + 3y

175 = 7y

y = 175/7 = $25

price of the shirt = $25

x = 4y = 4*25 = $100

price of a pair of shoes = $100

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2 years ago
Select the correct answer. Which statement about an electromagnet is true? A. It doesn’t function without a source of current. B
zubka84 [21]

Answer:I’m going to say it’s A I apologize if it’s wrong

Step-by-step explanation:

Magnets are magnetic fields that compares together when attracted close to one another so that’s Why I’m choosing A because it’s close to what I think

3 0
3 years ago
3 divided by 5 , 654 what is the product of this situation please help me
ohaa [14]
The answer is 0.6 the product is 6 tenths
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3 years ago
In a sale, the price of a computer is reduced from $1,280 to $1,030. Find the rate of the discount and the amount of the discoun
aev [14]
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Amount of discount = old price - new price = $1,280 - $1,030 = $250
6 0
3 years ago
Read 2 more answers
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