Baseball statisticians studied how often triples (a certain event in a baseball game) occurred in professional games played between 1947 and 2017. A 98 percent confidence interval to estimate the slope of the linear regression line relating the year, x, and the mean number of triples per game, y, yielded (−0.006,−0.002). A check shows that the conditions necessary for inference for the slope of the regression line are met.

Based on the confidence interval, which of the following claims is supported?

A. The mean number of triples per game is between 0.002 and 0.006.
B. The number of triples per game has increased, on average, per year.
C. There is no linear relationship between the mean number of triples per game and year.
D. There is a negative linear relationship between the mean number of triples per game and year.
E. A conclusion cannot be made about the relationship between year and mean number of triples per game because the values are close to 0.

Answers

Answer 1

Answer: D. There is a negative linear relationship between the mean number of triples per game and year.

Step-by-step explanation: This claim is supported by the interval. The interval contains plausible values for the slope of the linear regression line relating year and mean number of triples per game. Since all the values in the interval are negative, the interval supports the claim that increases in the year are associated with decreases in the mean number of triples per game.


Related Questions

X and Y are center of circles which intersect at A and C. XA and XC are produced to meet at B and D. Prove AB = CD.

Answers

Answer:

On the diagram, construct lines BY, XY and DY.

Now, consider triangles ΔXBY and ΔXDY. We can say that these triangles are congruent by the SAS postulate (they share side XY, XY bisects ∠BYD so ∠BYX=∠DYX, and BY=DY=radius). If they're congruent, their sides are the same so BX=DX.

BX=DX

AB+radius = CD +radius

AB=CD

PLEASE HELP!
I AM IN A HURRY

Answers

Answer:

Honestly I have no idea what is going on in this passage or whatever it is.

Step-by-step explanation:

A cashier in a bank counts the total money as 450000 in denomination of ₹100 ₹500 and ₹100 notes the number of notes are in the ratio 1:2:5 find the number of notes of each denomination​

Answers

Answer:

1x+2x+5x=4,50,000

8x=450000

x=450000/8

x=56,250

put the value of x

100 rupee note = 56,250

500 rupee note =2*56250=112500

1000 rupee note =5*56250=281250

total value =56250+112500+281250=450,000

Hope this helps you!

The value of a specific piece of machinery depreciates at a rate of 10% per year. The initial value of the machinery is $400. Write a formula that models the value of the machine after "t" years.
Please answer fast thank you

Answers

Answer: Y= 400 (1-0.1t)

Step-by-step explanation:

Y the value after depreciation period

400 initial value

0.1 dep rate

T time

For the function f(x)=2^x the y intercept is (0,1). What is the y intercept of the function y=a•2^x?

A. (0,1)
B. (0,-a)
C. (0,a)
D. (0, 1/a)

Answers

Answer:a

Step-by-step explanation:

Which of the following tables shows that y is a function of x?

Answers

Answer:

Table B

Step-by-step explanation:

Recall: a table of values can only represent a function if and only if every x-value has exactly only one y-value.

The only table that satisfies this condition is the table in option B.

In table B, every x-value is related to only exactly one y-value.

I NEED HELP ASAP HELP HELP HELP....
According to the line plot, what is the total amount of time spent studying by the students who studied for 1/2 of an hour each?

Answers

Answer:

2.5hrs

Step-by-step explanation:

Consider the inequality: y < -x + 4 So, the slope m= -1 and
Y-intercept b =4

true
or
false
helpe meee plz​

Answers

Answer:true

Step-by-step explanation:

Because your slope is -x or -1 and your y intercept is 4 or b=4

The given condition is true, the inequality: y < -x + 4 So, the slope m= -1 and Y-intercept is b =4.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that the inequality is,y < -x + 4

A straight line is a combination of endless points joined on both sides of the point.

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0. The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Compare the given inequality with the standard equation.

We get the slope m= -1 and Y-intercept b =4.

Thus, the given condition is true, the inequality: y < -x + 4 So, the slope m= -1 and y-intercept is b =4.

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GIVING EVERYTHING IF CORRECT. NO fake answers, you will be reported. And it hurts my grades so please don't.

Answers

Answer is C, hopefully I helped. :)

Find x in each triangle 4 cm 3 cm

Answers

Answer:

5cm

Step-by-step explanation:

What exactly do you mean by x?

The value of x is 5 cm.

What is Pythagoras theorem?

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The Pythagoras theorem equation is expressed as, c2 = a2 + b2, where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs. Hence, any triangle with one angle equal to 90 degrees produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.

example:

The hypotenuse of a right-angled triangle is 16 units and one of the sides of the triangle is 8 units. Find the measure of the third side using the Pythagoras theorem formula.

Given : Hypotenuse = 16 units

Let us consider the given side of a triangle as the perpendicular height = 8 units

On substituting the given dimensions to the Pythagoras theorem formula

Hypotenuse2 = Base2 + Height2

162 = B2 + 82

B2 = 256 - 64

B = √192 = 13.856 units

Given:

Two sides are 4 cm and 3 cm

Using Pythagoras theorem

x² = 4² + 3²

x² = 16+ 9

x² = 25

x=√25

x= 5 cm

Also, the range of x is in between 1 cm and 7 cm.

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A ski company in Vail owns two ski shops, one on the west side and one on the east side of Vail. Ski hat sales data (in dollars) for a random sample of 5 Saturdays during the 2004 season showed the following results. Is there a significant difference in sales dollars of hats between the west side and east side stores at the 10 percent level of significance?

Saturday Sales Data ($) for Ski Hats

Saturday East Side Shop West Side Shop
1 548 523
2 493 721
3 609 695
4 567 510
5 432 532

Required:
a. State the decision rule for 5 percent level of significance.
b. Find the test statistic tcalc.

Answers

Answer:

At 10 percent significance level, there is not enough statistical evidence to suggest that there is a difference between mean

a. The decision rule for 5% level of confidence is;

For test statistic is less than 2.306 we fail to reject the null hypothesis

For a test statistic larger than 2.306 we reject the null hypothesis

b. The test statistic is approximately -1.2008

Step-by-step explanation:

The given data are;

No; 1, 2, 3, 4, 5

East Side Shop; 548, 493, 609, 567, 432

West Side Shop; 523, 721, 695, 510, 532

Therefore, we have;

The mean for the East Side Shop, [tex]\overline x_1[/tex] = 529.8

The standard deviation for the East Side Shop, s₁ = 68.751

The mean for the West Side Shop, [tex]\overline x_2[/tex] = 596.2

The standard deviation for the West Side Shop, s₂ = 102.7701

[tex]t_0=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_1^{2} }{n_{1}}+\dfrac{s{2}^{2}}{n_{2}}}}[/tex]

Therefore, we have;

The null hypothesis is H₀; μ₂ - μ₁ = 0

The alternative hypothesis is Hₐ; μ₂ - μ₁ ≠ 0

[tex]t_0=\dfrac{(529.8-596.2)}{\sqrt{\dfrac{68.751^{2} }{5}+\dfrac{102.7701^{2}}{5}}} \approx -1.2008[/tex]

At degrees of freedom, df = n₁ + n₂ - 2 = 8, we have the critical-t = 1.895

Given that the critical-t is more than test statistic, we do not reject the null hypothesis, therefore, there is not enough statistical evidence to suggest that there is a difference between mean

Required;

a. At 5% level, we have critical-t = 2.306

Therefore, the decision rule for 5% level of confidence is that we fail to reject the null hypothesis when the magnitude of the test statistic is less than 2.306 and we reject the null hypothesis for a test statistic larger than 2.306

b. The test statistic is given as follows;

[tex]t_0=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_1^{2} }{n_{1}}+\dfrac{s{2}^{2}}{n_{2}}}}[/tex]

[tex]t_0=\dfrac{(529.8-596.2)}{\sqrt{\dfrac{68.751^{2} }{5}+\dfrac{102.7701^{2}}{5}}} \approx -1.2008[/tex]

Find an equation for the line below.

Answers

Answer:

Slope = ⅓

Step-by-step explanation:

Slope (m) = change in y/change in x

Using two points on the line, (-5, 1) and (1, 3),

Change in y = 3 - 1 = 2

Change in x = 1 - (-5) = 6

Slope (m) = change in y/change in x = 2/6

Slope = 1/3

Select the correct answer.
What is the corresponding point on the unit circle for the given radian measure?

Answers

Answer: A. -sqrt (3)/2, 1/2

To get from radians to degrees, you replace the pi symbol with 180° and solve

So, (5 • 180) / 6 = 150°

150° makes a 30° angle, as the nearest x axis is the negative x axis at 180°.

As we know, a 30°, 60°, 90° triangle has sides sqrt(3)/2 and 1/2.

Since the 30° angle is on the x axis, sqrt(3)/2 will be the x value and 1/2 will be the y value. And since the triangle is in the negative x, positive y quadrant, 1/2 will be positive and sqrt(3)/2 will be negative. Giving you (-sqrt(3)/2, 1/2)

Compare y= -3x + 2 and x - 3y = 9.

Answers

use Photomath and get your answer

Find the equation of a line Passing through the
origin so that the tangent of the angle between the
Line in Quadrant I and the positive x-axis is square root of 3 over 3. Also find the angle.
Please also find the Augle.

Answers

Answer:

Step-by-step explanation:

y = 1/2x

the angle is 30°  or in radians  [tex]\pi[/tex]/6

In the decimal number 147.529, the 5 is in the
place.

Answers

Answer:

the TENTHS place

Step-by-step explanation:

hundreds tens ones.tenths hundredths thousandths

it is in the 10th place

PLEASE HELP NO LINK ANSWER I WILL GIVE BRAINLY THING BOTH QUESTIONS PLEASE ​

Answers

1: glucose and 2 is stomach

Answer: 33. Glucose 34. stomach

Step-by-step explanation:

A line that passes through the point (-4,6) with a slope of 2. The equation of that line in slope is y=......... X+?

Answers

Answer:

y=2x-2

Step-by-step explanation:

solve
8=56
7=42
6=30
5=20
3=??​

Answers

Answer:

3 = 6

Step-by-step explanation:

Every number is being multiplied by one lower than the number being used:

8 x 7 = 56

7 x 6 = 42

6 x 5 = 30

and so on.

Therefore 3 will be multiplied by 2, resultng in the number 6.

Plz help well mark brainliest if you are correct!

Answers

Answer:

12 centimenters.

Step-by-step explanation:

Answer:

6 cm

Step-by-step explanation:

We need to find the distance from R to s which is basically the radius, we know radius is r=d/2 to 12/2 (since 12 is diameter) is 6.

11 x m when m=3

PLSS help

Answers

Answer:

33

Step-by-step explanation:

11 times 3 =33

Are the following expressions equivalent?

A. 3x - 2x + 0.5x3x−2x+0.5x.
a. 1.5x1.5x

Answers

Answer:

1.5 x

Step-by-step explanation:

3x - 2x + 0.5x = 1.5 x

What is the value of the expression below when x=1? 4x ^2 5x

Answers

Answer: 80

Step-by-step explanation:

Just substitute 1 for x in your expression and solve

If ∆HCN~∆BMD, solve for x.

Answer options:
A.11
B.12
C.13
D.14

PLEASE HELP ASAP THANK YOU!

Answers

Answer:

13

Step-by-step explanation:

helpp i'll give you brainlyest

Answers

Answer:

D

Step-by-step explanation:

a b and c are not correct by looking at the first value

Answer:

Im guessing its D because i cant see all the options.

Step-by-step explanation:

its the graph that has two dots on 1, three dots on 2, one dot on 3, and four dots on 4.

For the diagram below ,The Value of q , r is

Answers

Answer:

angle r= 45°

angle r+angle q=180°

45°+ angle q=180°[linear pair]

angle q=180°- 45°

angle q= 135°

Which point best approximates 45? A B В C D 0 1 2 3 4. 5 6 7. 8 9 Ο Α OB С OD​

Answers

Answer:

b or c???

Step-by-step explanation:

The point that best approximates √45 is C.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

√45

This can be written as,

= 6.7082

Now,

6.7082 is near 7 so,

The point that best approximates √45 is C.

Thus,

The point that best approximates √45 is C.

Learn more about expressions here:

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You stop for lunch at a local pizza shop where each pizza is cut into 8
equal slices. If you ate 3 slices of pizzas, what is the approximate area of
the remaining pizza if the diameter of the pizza is 14 inches?

Answers

Answer:

11 slices

Step-by-step explanation:

Your home town has a sales tax of 7%. Fill in the chart below with the sales tax and final
price.
Item
Sales Tax (7%)
Total Price
Play Station 5 - $500
1
Hoverboard - $125

Answers

668.75

Step-by-step explanation:

500+125=625

625×7%=43.75

625+43.75=668.75

Students in a representative sample of 69 second-year students selected from a large university in England participated in a study of academic procrastination. Each student in the sample completed the Tuckman Procrastination Scale, which measures procrastination tendencies. Scores on this scale can range from 16 to 64, with scores over 40 indicating higher levels of procrastination. For the 69 second-year students in the study at the university, the sample mean procrastination score was 41.00 and the sample standard deviation was 6.85.

Required:
a. Construct a 95% confidence interval estimate of μ, the population mean procrastination scale for second-year students at this college.
b. How does the confidence interval for the population mean score for second-year students compare to the confidence interval for first-year students of (35.447, 38.633)?

Answers

Answer:

a) The 95% confidence interval estimate of μ is (39.35, 42.5).

b) Second-year students tend to procrastinate more than first-year students

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 69 - 1 = 68

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 68 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.9955

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.9955\frac{6.85}{\sqrt{69}} = 1.65[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 41 - 1.65 = 39.35

The upper end of the interval is the sample mean added to M. So it is 41 + 1.65 = 42.65

The 95% confidence interval estimate of μ is (39.35, 42.5).

b. How does the confidence interval for the population mean score for second-year students compare to the confidence interval for first-year students of (35.447, 38.633)?

The confidence interval for second-year students had higher values both at the lower and the upper end of the interval, which means that they tend to procrastinate more than first-year students

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