The table below gives the completion percentage and interception percentage for five randomly selected NFL quarterbacks. Based on this data, consider the equation of the regression line, yˆ=b0+b1x, for using the completion percentage to predict the interception percentage for an NFL quarterback. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant.

Completion Percentage 57 59 62 63 64
Interception Percentage 5 3.5 3 2.5 1.5
Table

6 steps

Answers

Answer 1

The regression equation is y = -0.42647x + 29.11471 and the correlation coefficient is -0.9607

How to determine the regression equation?

The table of values is given as:

Completion Percentage 57 59 62 63 64

Interception Percentage 5 3.5 3 2.5 1.5

Next, we enter the above values in a graphing calculator.

From the graphing calculator, we have the following summary:

Sum of X = 305Sum of Y = 15.5Mean X = 61Mean Y = 3.1Sum of squares (SSX) = 34Sum of products (SP) = -14.5r = -0.9607

Regression Equation = ŷ = bX + a

b = SP/SSX = -14.5/34 = -0.42647

a = MY - bMX = 3.1 - (-0.43*61) = 29.11471

So, the regression equation is

y = -0.42647x + 29.11471

And the correlation coefficient is -0.9607

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Related Questions

If 3x = 6, then x = 2.
a. Addition b. Subtraction c. Square root d. Division

Answers

Answer:

Its D. Division

Step-by-step explanation:

Because you have to divide 3 from x and also to 6 and you will get x equals 2.

The answer is d. Division.

Explanation:

3x = 6

3x/3 = 6/3 {Divided by 3}

x = 2

Hope it helps!

What is the standard form of 17 and 223,000

Answers

Seventeen and Two hundred and twenty three thousand

if (a+b)+(a-b)i=7+2 find a and b​

Answers

Answer:

a = 4.5

b = 2.5

Step-by-step explanation:

The question is incomplete.

Complete question

If (a+b)+(a-b)i=7+2i find a and b

Compare the terms on both sides

a+b = 7

a-b = 2

Add both equations

a+a = 7+2

2a = 9

a = 9/2

a = 4.5

Recall:.

a+b = 7

4.5+b = 7

b = 7-4.5

b = 2.5

= 28.16
Riya buys 9 square paving slabs, each with a side of 1m. She lays them in the form of square.
(b) Shari does not like her arrangement. She gets her to lay them out like a cross. What is
the perimeter of her arrangement?​

Answers

Answer:

20 m

Step-by-step explanation:

4(3+2) = 20

lowest common factor of 72 and 108​

Answers

Answer:

The lowest common factor of 72 and 108 is 216

What is the volume of this rectangular prism?
cm
3
cm
5
cm
3
cm

Answers

Answer:

2cm³

Step-by-step explanation:

If a manufacturer's list price is $800 and Bill's Outlet buys the goods for $650, what is the trade discount percent? (Round answer to
the nearest hundredth percent)

Answers

Answer:

The discount percent is 18.75%

Step-by-step explanation:

The amount of money that was lost in this discount is $150, to calculate the percent, you subtract the original price by the discounted price, and then divide the difference by the original price and multiply that by 100% to get the discount percent. [tex]\frac{150}{800}[/tex] * 100% equals 18.75%, so that would be the discount percent.

Mr.Jones can bench 205 pounds. The bar weighs 45 pounds, how much weight is on each side

Answers

Answer:

205-45÷2

Step-by-step explanation:

205-45=160

160÷2=80

80lb

HELPP!!! What is the measure of y? 4 9

Answers

Answer:

6

Step-by-step explanation:

4 × 9 = [tex]\sqrt 36[/tex] = [tex]\sqrt{6}[/tex]

The value of y is 6 units obtained by applying pythagoars's theorem in all possible right-angled triangles.

What is Pythagoras's theorem?

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

From the figure, we have three unknowns x, y, and z and we have 3 right-angled triangles so three equations can be formed.

x² = 4² + y²...(i)

z² = 9² + y²...(ii)

(4 + 9)² = x² + z²

13² = x² + z²...(iii)

Now, Subtracting eqn(ii) from eqn(iii) we have.

  169 = x² + z²

(-)  81 = -(y)² + z²

-------------------------

88 = x² + y²...(iv).

Now adding eqn(i) and eqn(iv) we have,

2x² = 104.

x² = 52.

Putting this value in eqn(i) we have,

52 = 16 + y².

y² = 36.

y = 6.

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Suppose an amusement park bought a merry‐go‐round for $92,000. 42,512 people paid $2 each to ride the merry‐go‐round in its first year of operation. Did the park earn or lose money in the first year? How much?

Answers

Answer:

yes they did lose money

Step-by-step explanation:

42,512×2 = 85,024

92,000 - 85,024 = 6,976

they lost $6,976 in the first year

Find the value of x. Explain your work please.
Concurrency of Angle Bisectors

Answers

Answer:

[tex]x+5=2x-1[/tex]

combine terms

subtract x from both sides and add 1 to both sides

[tex]6=x[/tex]

Answer is A

Help me! Pleaseeeeeeeeeeeeee

Answers

Answer:

Step-by-step explanation:

write these ratio in its simplest form 200:180​

Answers

Answer:

10:9

Step-by-step explanation:

Find the area of a square with sides of length 1 /3 yard. pls help

Answers

Answer:

1/9 yards ^2

Step-by-step explanation:

[tex]\frac{1}{3}^2 =\\\frac{1}{3} * \frac{1}{3}=\\\frac{1}{9}[/tex]

Find the equation of this line

Answers

Answer: y=1x+1

Step-by-step explanation:

Rise/Run = 1/1 = 1 = slope

y-intercept : 1

Answer:

y=-2x+1 is the answer

Step-by-step explanation:

Evaluate
28.47% of 637.38cm
Give your answer rounded to 2 DP.
cm

Answers

Answer: 181.46 cm.

Step-by-step explanation: The real answer is 181.462086 cm but we can round that to 2 decimal places.

637.38 × 28.47/ 100

= 181.46

Find the value of x in the rhombus

Answers

Answer:

Your answer is.....

x= 37

Mark it as brainlist answer . follow me for more answer.

Step-by-step explanation:

Question 2 (1 point)
If 5 hours is 25% of the time a trip will take, how long will it take?

Answers

20 hours because 5x4=24 and 1/4=25

Answer:

20 hours

5 hours- 25%

10 hours- 50%

15 hours- 75%

20 hours- 100%

The sum of1/2 and 1/5 is between 1/2 and 1?

Answers

Answer:

the answer is 7/10, and yes it is between a whole and a half because 7/10 is over 1/2 but less that a whole.

what is the least common denominator for 5/7 4/6

Answers

Answer:

Tricky! The LCD is 21

Normally, we would have to multiply the denominators, 7 × 6 = 42 but 4/6 is not reduced.

Step-by-step explanation:

15/21 is equivalent to 5/7

14/21 is equivalent to 4/6 and 2/3

how much interest is charge when 100,000 is borrowed for 6months at an annual simple interest rate of 12 percent

Answers

hope this helps Step-by-step explanation: 7200 cause 12 percent of 100,00 is 7200

16/20 – 1/4 =


I need help please thank you

Answers

Answer:

11 / 20

Step-by-step explanation:

16 / 20 - 1×5 / 4×5

16 / 20 - 5 / 20

16 - 5 / 20

= 11 / 20

A writer was paid $9,000 for a 3,000-word article. How much is that per word? A $0.33 B $27,000 ) $3 D) $30​

Answers

Answer:

A. $0.33

Step-by-step explanation:

Because you divide 3000/9000

to get 0.33

Answer: three (c)

Step-by-step explanation:

3*3000=9000

or

9000/3= 3000

BRAINLIEST TO BEST ANSWER :D
Ali was asked to simplify the expression 3(x - 6) + (4x + 12) - 6x. His work is shown below.


3(x - 6) + (4x + 12) - 6x

3x - 9 + 4x + 12 - 6x

(3x + 4x - 6x) + (-9 + 12)

x + 3

Question 1
Identify the line which contains the error.
A 3(x - 6) + (4x + 12) - 6x
B 3x - 9 + 4x + 12 - 6x
C (3x + 4x - 6x) + (-9 + 12)
D x + 3

Answers

Answer:

C

Step-by-step explanation:

Answer:hope this helps!!! :)

defenitly A it equals x-6 not x-3

3(x - 6) + (4x + 12) - 6x  =>   − 6

Step-by-step explanation:

Find the solutions of each equation on the interval [0, 2π)

Answers

Answer/Step-by-step explanation:

Factor this. GCF=2

2(2cos2x+cos x-1)=0

2(2cos x -1)(cos x+1)=0 Set each factor equal to zero and solve

2cos x -1=0 Add 1 to both sides

2cos x =1 Divide by 2

cos x =1/2

x=π/3

x=5π/3

cos x+1=0 Subtract 1 from both sides

cos x=-1

x = π

Solve the Antiderivative. ​

Answers

... 1
∫-------- dx
√2x-x²

... 1
∫------------------dx
√( 1-(x-1)² )

let u = x-1
du = dx

... 1
∫------------------ du
√( 1-u² )

= arcsin(u)
= arcsin (x-1)

Are there any supplementary, vertical, or complimentary angles? If so wich ones

Answers

Supplementary: N and M

Supplementary angles: A pair of angles whose sum is equal to 180°.

Vertical: N and R

Vertical angles: A pair of opposite angles that are made by two intersecting lines.

Complimentary: P and Q

Complimentary angles: A pair of angles whose sum is equal to 90°.

Hope this helps! :D

x + 5 x < -2 4 – x2 -2 ​

Answers

x2  < −6x − 26

x < -x2/6 - 13/3

An angle measures 9.4° more than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

x = one angle

90 - x = complementary angle {complementary angles add up to 90�}

x = 90 - x + 86 {one angle is 86� more than its complementary angle}

x = -x + 176 {combined like terms on right}

2x = 176 {added x to each side}

x = 88 {divided each side by 2}

90 - x = 2 {substituted 88, in for x, into 90 - x}

one angle is 88�

the complementary angle is 2�

Step-by-step explanation:

Ill give u the brainlest if u are correct please hurry and show how u got ur answer

1. While doing construction on your new house, you notice that it takes 6 minutes to put up 22 shingles on the roof. Which one of the following is a correct sentence to describe the ratio of minutes to shingles?

Group of answer choices

There are 3.7 minutes for every 1 shingle put on the roof.

For every 3 minutes, there are 11 shingles put up.

There is 1 minute for every 0.27 of a shingle.

It takes 3.7 minutes to put up 22 shingles.

2..A researcher decides to study study frogs in a local forest. Funding for his project says:

2.For every 8 hours in the office, you will be allowed 100 minutes in the forest.

Which of the following is the correct ratio of forest to office time?

Group of answer choices

4.8

0.2083

12.5

0.08

3.Which of the following is equivalent to the ratio 5?

You don't have to show work for this problem.

Group of answer choices

1:5

5 to 1

1/5

0.2


4.Consider the number: 105,279,083,000

Which digit is in the ten billions place?

You don't have to show work for this problem.

Group of answer choices

7

5

9

0



5.Write the following number in correct scientific notation: 13.8 billion

You don't need to show work for this problem, but it's a good idea.

Group of answer choices

1.38 x 10^-10

1.38 x 10^10

13.8 x 10^9

1.38 x 10^7

Answers

Answer:

B or every 3 minutes there is 11 put up

Step-by-step explanation:

So 22 and 6 we divide them by 2 we get 11 and 3

3.7 x 2 is 22.2 so it’s just a bit over out 22

0.27 x 6 is 1.62 which is not 22

so my conclusion it’s 11 shingles put up each minute

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