The average driving distance (yards) and driving accuracy (percent of drives that land in the fairway) for 8 golfers are recorded in the table to the right. Complete parts a through e below.
Player Distance (yards) Accuracy (%)
1 316.4 46.2
2 303.8 56.9
3 310.7 51.8
4 312.2 53.2
5 295.5 61.8
6 290.8 66.1
7 295.1 60.4
8 295.9 61.6
a. Write the equation of a straight-line model relating driving accuracy (y) to driving distance (x). Choose the correct answer
below.
A. y = β1x2 + β0
B. y = β0 + β1x + ε
C. y = β1x + ε
D. y = β1x
b. Fit the model, part a, to the data using simple linear regression. Give the least squares prediction equation.
^y = (1)________ + (2) __________x
(1) a. 232.4 b. 258.2 c. 271.1 d. 296.9 (2) a.− 0.7639 b. − 0.6975 c. − 0.5979 d. − 0.6643
c. Interpret the estimated y-intercept of the line. Choose the correct answer below.
A. Since a drive with distance 0 yards is outside the range of the sample data, the y-intercept has no practical interpretation.
B. For each additional percentage in accuracy, the distance is estimated to change by the value of the y-intercept.
C. Since a drive with 0% accuracy is outside the range of the sample data, the y-intercept has no practical interpretation.
D. For each additional yard in distance, the accuracy is estimated to change by the value of the y-intercept.
d. Interpret the estimated slope of the line. Choose the correct answer below.
A. Since a drive with distance 0 yards is outside the range of the sample data, the slope has no practical interpretation.
B. For each additional yard in distance, the accuracy is estimated to change by the value of the slope.
C. For each additional percentage in accuracy, the distance is estimated to change by the value of the slope.
D. Since a drive with 0% accuracy is outside the range of the sample data, the slope has no practical interpretation.
e. A golfer is practicing a new swing to increase her average driving distance. If the golfer is concerned that her driving accuracy will be lower, which of the two estimates, y-intercept or slope, will help determine if the golfer's concern is valid?
The (3)_____________ will help determine if the golfer's concern is valid because the (4)________________ determines whether the accuracy increases or decreases with distance.
(3) a.slope b. y-intercept (4) a. sign of the slope b. sign of the y-intercept c. magnitude of the slope d. magnitude of the y-intercept

Answers

Answer 1

A. The equation of the straight-line model relating driving accuracy to driving distance is y = β0 + β1x, where y represents driving accuracy, x represents driving distance, β0 represents the y-intercept, and β1 represents the slope.

B. Using the least squares method, the prediction equation for the given data is ^y = 232.4 - 0.7639x, where ^y represents the predicted accuracy for a given distance x.

C. The estimated y-intercept has no practical interpretation since a drive with 0% accuracy is outside the range of the sample data.

D. The estimated slope indicates that for each additional yard in distance, the accuracy is estimated to decrease by 0.7639%.

E. The slope will help determine if the golfer's concern is valid since the sign of the slope determines whether the accuracy increases or decreases with distance.

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Related Questions

Please can someone help me I can’t fail this test

Answers

Answer:

x=7 y=4

Step-by-step explanation:

couldnt really see the question but i hope this helps

Jasmine correctly answered 9 out of 10 of the game questions. What percent did she answer correctly.

Answers

90 percent because 9/10= .9, which is 90 percent when converted to a percent

Points (0,1) and (2,7) fall on a particular line. Write the equation of the line in slope-intercept form (y=mx+b)

Answers

Answer:

Slope:

3

y-intercept:

(0, 1)

Tres hermanos van a repartirse un pastel y medio, cuanto le toco de pastel a cada uno de los hermnos

Answers

Answer:

medio pastel cada uno

Step-by-step explanation:

Hay 3 hermanos, si decimos que un pastel entero tiene 6 pedazos entonces su fraccion seria 6/6. Si dividimos este pastel entre los tres hermanos cada uno tendria...

[tex]\frac{6 / 3}{6}[/tex] = [tex]\frac{2}{6}[/tex]

Medio pastel seria la mitad de 6/6 que seria 3/6. Si dividimos esto entre los 3 hermanos cada uno tendria...

[tex]\frac{3 / 3}{6} = \frac{1}{6}[/tex]

Ahora que dividimos los 2 pasteles tenemos que unir las fracciones para saber cuanto pastel le toco a cada hermano...

[tex]\frac{2}{6} + \frac{1}{6} = \frac{3}{6}[/tex]  o medio pastel cada uno

Find the slope!! Please

Answers

Answer:

The slope is -(1/3)

Step-by-step explanation:

For every 3rd step, the y-value decreases by 1 and the line intersects the y-axis in (0,1).

This observation yields the following equation for your line:

f(x) = y = -(1/3)x + 1

Therefore, the slope is -(1/3).

Negative 8 times 2/3

Answers

Answer:

[tex]-\frac{16}{3}[/tex]

Step-by-step explanation:

This is simple multiplication. To make this easier to solve, let's modify the fraction so it looks like this:

[tex]-8*2*\frac{1}{3}[/tex]

You could also change it to this:

[tex]\frac{-8}{1}*\frac{2}{3}[/tex]

Do these look simpler? Hopefully they do!

Now, let's multiply the numerators. When multiplying fractions, we multiply numerators and denominators separately. Here, that means we could, taking both paths, do this:

[tex]\frac{1}{3}(-8*2)[/tex]

[tex]=\frac{1}{3} (-16)[/tex]

[tex]=\frac{-16}{3}[/tex]

[tex]=-\frac{16}{3}[/tex]

Or we can do this:

[tex]\frac{-8}{1} *\frac{2}{3}[/tex]

[tex]=\frac{-8*2}{1*3}[/tex]

[tex]=\frac{-16}{3}[/tex]

[tex]=-\frac{16}{3}[/tex]

But what if the denominator of one fraction has a common factor with the other number or the other fraction's numerator? We would find the common factor, and cancel it out to simplify. We could do this before multiplying, during the multiplication, or after multiplying.

In the case of a number times a fraction, it could also be seen as division, as fractions are essentially that: one number divided by another, except we aren't using the decimal.

I hope this helps you understand, so you don't need to ask this again! It's about 8:00 AM where I am as I'm writing this answer, so good morning and have a wonderful day!

The equivalent value of the fraction is A = -16/3

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first fraction be represented as p

Let the second number be represented as q

Now , A = pq

when the value of p = 2/3

And , when the value of q = -8

On simplifying the equation , we get

A = ( 2/3 ) / ( -8 )

So , the left hand side of the equation is equated to the right hand side by the value of ( 2/3 ) / ( -8 )

A = ( 2/3 ) / ( -8 )

A = ( -8 x 2 ) / ( 3 )

On simplifying , we get

Multiply by -8 on the fraction , we get

A = ( -8 x 2 ) / 3

A = -16/3

Therefore , the value of A = -16/3

Hence , the fraction is A = -16/3

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Write an equation in standard form passing through the points (-2,0) and (-3,-1).

Answers

-x + y = 2

slope: (y2-y1)/(x2-x1) = (0- -1)/(-2- -3) = 1/1 = 1

point slope form: (y-y1) = m (x-x1)
y-0 = 1 (x+2)
y = x + 2

standard form:
subtract x from both sides
-x + y = 2

Need help with khan.

Answers

Answer:

144

Step-by-step explanation:

10x+24°=6x+72°

10x-6x°=72°-24°

4x=48°

X=48°/4°

X=12°

Then, angle A=10x+24°

A=10×12+24°

A=144°

What is the answer for x?
5=-2.5x+8

Answers

the answer for x is
x = 1.2
x=-1.2

you’re welcome!! hopefully it’s correct :))

2. What is 45% of 90?
O A. 40.5
OB 45
O 0.50
OD 200

Answers

Answer:

this would be the answer 40.5.

Take the 90 and multiply it by 45. Then multiply that by . 01.

PQR is a right angled triangle calculate the size of angle marked x

Answers

Answer:

[tex]\displaystyle x \approx 37.4^\circ[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA [Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Angle θ = x

Adjacent Leg = 5.8

Hypotenuse = 7.3

Step 2: Solve for x

Substitute in variables [Cosine]:                                                                    [tex]\displaystyle cosx^\circ = \frac{5.8}{7.3}[/tex][Fraction] Divide:                                                                                             [tex]\displaystyle cosx^\circ = 0.794521[/tex][Equality Property] Trig inverse:                                                                    [tex]\displaystyle x^\circ = cos^{-1}(0.794521)[/tex]Evaluate trig inverse:                                                                                      [tex]\displaystyle x = 37.39^\circ[/tex]Round:                                                                                                             [tex]\displaystyle x \approx 37.4^\circ[/tex]

Find the sum. Write your answer in simplest form. - 4 1/6 + 5 4/7 ​

Answers

Answer:

1 17/42.

Step-by-step explanation:

Find the common denominator, which is 42.

So change -4 1/6 to -4 7/42.

And change 5 4/7 to 5 24/52.

So add -4 7/42 + 5 24/52 and you'll get: 1 17/42.

(The decimal form of this is 1.404762)

Answer:9 31/42........

please help me you will be my fav person ever if u do

Answers

Answer:

The answer are 1_ ASA

2_ SSS

3_ SAS

Which statement is true?

Answers

Answer:

The answer is B

Step-by-step explanation:

Answer:

Option B

Brainly plz :))

Help please! I need asap

Answers

Answer:

b

Step-by-step explanation:

Answer:

B.137

Step-by-step explanation:

Its an  obtuse angle

Find the value x.
Need help....thank you

Answers

Step-by-step explanation:

It is parallel to the third side and has a length equal to half the length of the third side.

so

x= 34/2= 17

x= 17

What is the average rate of change for this quadratic function for the interval
from x= 1 to x = 3?
X
-5
5
-10+

Answers

Answer: -4

A P E X

Step-by-step explanation:

who's your favorite grey's anatomy character?

Answers

sooo i didn’t like April at first but now i love her

Answer:

Mc Steamy

Step-by-step explanation:

Pls HAAAAAAAALLLLPPPPP plez
I give brainliest to whoever answers correctly w/ explanation.






























































answer the question below
i don’t get it, pls explain

Answers

C) 2x = 100, this is because they are equal
The angle of TQV: 50

Answer:

C. 2x = 100

Step-by-step explanation:

Vertical angles are 2 angles which are vertical and have the same degree. For example, if an angle which is vertical to another is 80°, the other angle is 80° too. The reason why you can't say it's 50 is because they want you to identify the equation of it, so you can't really like shortcut through and you need to make an answer for explanation. Hence 2x = 100 is the best answer.

A pair of shoes cost $75. This is $35 less than the cost of a pair of jeans write and solve an equation,Using n for the variable to find the cost of the jeans

Answers

Answer:

n=75 pair of shoes

n-75=35 equation

n=35+75=110

cost of jeans=110

Given that 3 apples and 4 pears cost $1.95, 4 pears and 1 orange cost $1.60, and 1 orange and 3 apples cost $1.15, what is the cost of 1 apple?

Answers

Answer:

Step-by-step explanation:

Given that 3 apples and 4 pears cost $1.95, 4 pears and 1 orange cost $1.60, and 1 orange and 3 apples cost $1.15, what is the cost of 1 apple?

Let us represent

Number of apples = x

Number of pears = y

Number of oranges = z

Given that

3 apples and 4 pears cost $1.95

3x + 4y = 1.95

4 pears and 1 orange cost $1.60

4y + z = 1.60

z = 1.60 - 4y

1 orange and 3 apples cost $1.15

z + 3x = 1.15

z = 1.15 - 3x

what is the cost of 1 apple?

When subtracting these two algebraic expressions, the second expression would be equivalent to:
(3x + 7) - (2x +4)
2.0 -4
O-2.3 - 4
O-20 + 4
O 2x + 4

Answers

Answer:

[tex](-2x-4)[/tex]

Step-by-step explanation:]

Given data

we are given that the expression is

the first expression is[tex](3x + 7)[/tex]

the second expression is[tex](2x +4)[/tex]

[tex](3x + 7) - (2x +4)[/tex]

When we open bracket the second expression becomes

[tex](-2x-4)[/tex]

Cole rides his bike to the ballfield starting from home. This
describes his trip:
A. Rides quickly downhill toward the field
B. Stops to wait for a friend
C. Rides slowly uphill toward the field
Drag a segment to each box to show the shape of the graph of
Cole's distance from home for each interval of time.
Describe the lines to chose as line 1 2 etc please

Answers

Answer: first line will be the on down the the right line 3... next the one with the straight line line 1 ..... then the fourth line slowly back upward

Step-by-step explanation:

Answer:

PartA: /

PartB: __

PartC: / its this one but less steeper(the second to last answer on the right)

Step-by-step explanation:

a(9b+13) in expanded form

Answers

(A•9B)+(A•13) hope this helps

Which correctly explains how to estimate 55 percent of 64?
Round 55 percent to 40 percent and 64 to 60. Think of 40 percer
Round 55 percent to 60 percent and 64 to 70. Think of 60 percent
Round 55 percent to 50 percent and 64 to 70. Think of 50 percent a
O Round 55 percent to 50 percent and 64 to 60. Think of 50 percent as

Answers

Answer:

i wanna say b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

because i ate hamburger

3 cm
20 cm
8 cm
5 cm
Find the lateral surface area of the solid above.

Answers

Answer:

320 cm sq

Step-by-step explanation:

Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.
A. (x + 1)(x-7)
B. (x + 1)(x + 7)
C. (x - 1)(x-7)
D. (x - 1)(x + 7)

Answers

The factored form of the related polynomial function is  (x - 1)(x - 7).  

What is polynomial function ?

Polynomial function is a function that involves non-negative integer powers or positive integer exponents of a variable in an equation like the quadratic equation, cubic equation.

We have,

In the graph given in question, we can see that x - intercepts the axis twice.

And graphs behave differently at various x - intercepts. Sometimes the graph will cross over the x-axis at an intercept and other times the graph will touch the x-axis and bounce off.

Now, in graph;

The intercept at x = 1 ,

i.e. the solution of the x - 1 = 0  and passes through the axis.

Now,

The x - intercept at x = 7,   is the solution of x - 7 = 0 and again passes through the axis.

So, from the above statements we can say that the factored form of the related polynomial is  (x - 1)(x - 7)

Thus, we can say that the factored form of the related polynomial function is  (x - 1)(x - 7).

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Out of the 96 customers at Jamie's boutique, 28 wore a size medium.
What is the probability that a randomly selected customer wore a size medium?

Answers

Answer:

7/24

Step-by-step explanation:

The probability would be 28/96, but we can simplify this fraction:

Divide 2 on both sides:

14/48

Divide 2 again:

7/24

So 7/24 is your answer! :) I hope I helped!

10(x-5)= -80
what is the value of the x​

Answers

Answer:

x = -3

Step-by-step explanation:

10(x-5) = -80

10x - 50 = -80

10x -50 + 50 = -80 + 50

10x = -30

10x ÷ 10 = -30 ÷ 10

x = -3

A rectangular garden has a length of 8 feet and a width of 5 feet. The entire garden
is surrounded by walkway of uniform width. What does the algebraic expression
(2w+8)(2w+5) represent in this context?

A. the area of the garden only
B. the total area of the garden and walkway
C. the perimeter of the garden only
D. the perimeter of the walkway only

Answers

Answer:

b

Step-by-step explanation:

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