Measurements were taken from snails of the shell weights and the widths of the opercula. Plot a graph of opercula width (y-axis) versus shell weight (x-axis). Estimate the correlation coefficient and test to see if there is a significant association shell weights and the widths of the opercula. Use a 5% level of significance.
Opercula width
Shell weight (g) (mm)
12 10.1
10 9.0
7 5.5
14 9.9
11 8.3
8 8.5
10 8.0
9 6.4
6 6.2
13 8.1 2.306

Answers

Answer 1

Answer:

Yes,there is a significant association shell weight and the widths of the opercula

Step-by-step explanation:

Using a correlation Coefficient calculator :

Given the data above :

The Coefficient of correlation(r) obtained is :

0.7632

Obtaining the test statistic :

T = r² / √(1 - r²) / (n - 2)

T = 0.7632² / √(1 - 0.7632²) / (10 - 2)

T = 0.58247424 / 0.2284528

Test statistic = 2.550

The Pvalue from r score , N = 10

Pvalue(0.7632, 10) = 0.01022

α = 0.05

If Pvalue < α ; reject H0

Pvalue < α ; We conclude that there is a significant association shell weights and the widths of the opercula


Related Questions

x divided by 6 plus 11 = 14

show steps

what is x

Answers

Answer:

x=18

Step-by-step explanation:

[tex] \frac{x}{6} + 11 = 14[/tex]

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

x=6×3

x=18

plz mark as brainliest

The Coopers own two vehicles, a mini-van and sedan. The following functions represent the resale value of both cars, in thousands of dollars,
after x years.
Mini-Van: f(1) = 32(0.8)*
Sedan: g(t) = 25(0.8)
Write function t that represents the total resale value, in thousands of dollars, of the two vehicles.

Answers

Answer:

[tex]h(x) = 57(0.8)^x[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 32(0.8)^x[/tex]

[tex]g(x) = 25(0.8)^x[/tex]

Required

A function that represents the total resale value of the two vehicles

To do this, we simply add up the functions

[tex]h(x) = f(x) + g(x)[/tex]

[tex]h(x) = 32(0.8)^x + 25(0.8)^x[/tex]

Factorize

[tex]h(x) = (32 + 25)(0.8)^x[/tex]

[tex]h(x) = 57(0.8)^x[/tex]

What is the unit of measurement for volume? a. units c. cubic units b. units squared d. centimeters

Answers

Answer:

la alianza b valorarlo Lampazos puntualizó

In problem formulation, the a. constraints are expressed in terms of the obtained objective function coefficients. b. objective is expressed in terms of the decision variables. c. nonnegativity constraints are always ignored. d. optimal solution is decided upon.

Answers

Answer: B. objective is expressed in terms of the decision variables

Step-by-step explanation:

Linear programming refers to an optimization technique that is used for a linear constraints system and the objective function.

The objective function simply means the quantity that an individual wants to optimize. It should be noted that the aim of linear programming is to get the values of the variables which will minimize or maximize the objective function. In problem formulation, objective is expressed in terms of the decision variables.

Therefore, the correct option is B

A sandwich shop prices its party subs at $17.50 per foot, with a $23 flat fee for assembly. Write a function rule describing how the price of a party sub (p) depends on the sub's length in feet.

What is the price of a party sub that is 8 feet long?​

Answers

Answer:

Step-by-step explanation:

sheesh

Answer:

f(x)=17.50p+25 The price for and 8 ft sub is $165

Step-by-step explanation

Consider the following data that represents gas mileages per gallon (mpg) of randomly selected cars of a particular brand.

28 32 23 28 24 36 31 34 25 28 29 23 25

A researcher wants to test whether the average gas mileage of this type of car is different from 30 mpg. Compute the p-value.

Answers

Answer:

The p-value is 0.1228.

Step-by-step explanation:

Before testing the hypothesis, we need to find the sample mean and the standard deviation.

Sample of 13:

The sample mean is the sum of all values divided by 13. Using a calculator, it is: X = 28.15.

The sample standard deviation is the square root of the division of the sum of the differences squared between each value and the mean, by the number of values. Using a calculator, we get s = 4.0162.

A researcher wants to test whether the average gas mileage of this type of car is different from 30 mpg.

At the null hypothesis, we test if the average gas mileage is of 30 mpg, that is:

[tex]H_0: \mu = 30[/tex]

At the alternate hypothesis, we test if the average is different from 30, that is:

[tex]H_1: \mu \neq 30[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.

30 is tested at the null hypothesis:

This means that [tex]\mu = 30[/tex]

From the sample:

[tex]X = 28.15, s = 4.0162[/tex].

Value of the test-statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{28.15 - 30}{\frac{4.0162}{\sqrt{13}}}[/tex]

[tex]t = -1.66[/tex]

P-value of the test:

The p-value of the test is the probability that the sample mean differs from 30 by at least |28.15 - 30| = 1.75, which is a two-tailed test with t = -1.66 and 13 - 1 = 12 df.

Using a t-distribution calculator, this p-value is 0.1228.

What expreassion is equivalent to 5(d+1)

Answers

Answer:

2(5)

Step-by-step explanation:

Answer:

I think it’s 5b+5

Step-by-step explanation:

All ways multiple the outside number with whatever is in the parentheses.

if angle x=55% and angle y=35, calculate the following 1.cos(x+y) ​

Answers

Answer:

cos(X+Y) = cos(55+35) = cos(90) = 0

Step-by-step explanation:

cos(X+Y) = cosXcosY - sinXsinY

cos(55+35) = cos(55)cos(35) - sin(55)sin(35)

cos(55+35) = cos(55)cos(35) - cos(90-55)cos(90-35)

cos(55+35) = cos(55)cos(35) - cos(35)cos(55)

cos(55+35) = 0

cos(90) = 0

Identify the hypothesis of the statement.



If a and b are positive, then a−b is positive.


If a−b is positive, then a and b are positive.


a−b is positive.


a and b are positive.


If a and b are positive, then a−b is positive.

Answers

9514 1404 393

Answer:

  a and b are positive.

Step-by-step explanation:

The form is ...

  IF <hypothesis>, THEN <conclusion>

The hypothesis is the wording between IF and THEN. In your given statement it is ...

  a and b are positive

2 part of the question with answer choices C AND D!!!!

NEED HELP ASAP!!!!
**Will mark BRAINLIEST on both questions**
pls help!!



This is the same question I am just going to write it again.

Which graph best represents the solution to the following pair of equations?

y = 4x + 2
y = x + 5



**THESE pictures ARE ANSWER CHOICES C & D**​

Answers

Answer:

Plug it into geogebra. The answer should be c.

Step-by-step explanation:

Answer:

the solution/ where they intersect is (1,6) so it is neither

Step-by-step explanation:

which expression has a value equal to 28 divided by 4

Answers

Answer:

28/4

7

56/8

14/2

63/9

70/7

√49

∛343

An article reports the following data on yield (y), mean temperature over the period between date of coming into hops and date of picking (x1), and mean percentage of sunshine during the same period (x2) for the Fuggle variety of hop:

x1: 16.7 17.4 18.4 16.8 18.9 17.1 17.3 18.2 21.3 21.2 20.7 18.5
x2: 30 42 47 47 43 41 48 44 43 50 56 60
y: 210 110 103 103 91 76 73 70 68 53 45 31

Use the following R Code to complete the regression analysis:
x1 = c(16.7, 17.4, 18.4, 16.8, 18.9, 17.1, 17.3, 18.2, 21.3, 21.2, 20 7, 18.5)
x2 = c(30, 42, 47, 47, 43, 41, 48, 44, 43, 50, 56, 60)
y = c(210, 110, 103, 103, 91, 76, 73, 70, 68, 53, 45, 31)

Required:
According to the output, what is the least squares regression equation ŷ = bo + b1x1 + b2x2:

Answers

Answer:

[tex]y = 415.113 -6.593 x_1 -4.504 x_2[/tex]

Step-by-step explanation:

Given

[tex]x_1: 16.7\ 17.4\ 18.4\ 16.8\ 18.9\ 17.1\ 17.3\ 18.2\ 21.3\ 21.2\ 20.7\ 18.5[/tex]

[tex]x_2: 30\ 42\ 47\ 47\ 43\ 41\ 48\ 44\ 43\ 50\ 56\ 60[/tex]

[tex]y: 210\ 110\ 103\ 103\ 91\ 76\ 73\ 70\ 68\ 53\ 45\ 31[/tex]

Required

Use R code to determine the regression equation

[tex]y = b_o + b_1x_1 + b_2x_2[/tex]

First, write the following code in a R program

[tex]x1 <- c(16.7,17.4,18.4,16.8,18.9,17.1,17.3,18.2,21.3,21.2,20.7,18.5)[/tex]

[tex]x2 <- c(30,42,47,47,43,41,48,44,43,50,56,60)[/tex]

[tex]y <- c(210,110,103,103,91,76,73,70,68,53,45,31)[/tex]

[tex]mod <- lm(y[/tex]~[tex]x1+x2)\\[/tex]

[tex]summary(mod)[/tex]

Next, run the program

See attachment for program and output

From the output, go to coefficients:

Check Estimate Std. column, you have the following:

[tex](Intercept) = 415.113[/tex]

[tex]x_1 = -6.593[/tex]

[tex]x_2 = -4.504[/tex]

[tex]y = b_o + b_1x_1 + b_2x_2[/tex] implies that:

[tex]b_o \to[/tex] Intercept

[tex]b_1 \to x_1[/tex]

[tex]b_2 \to x_2[/tex]

Hence, the least square regression equation is:

[tex]y = 415.113 -6.593 x_1 -4.504 x_2[/tex]

Find the difference: -9 - (-6) = ​

Answers

Answer:

Hello! Mizuki here to help!

-3 would be the correct answer!!!

Step-by-step explanation:

-9 - (-6) =

-9 + 6 =

-3

Find the area of this parallelogram. Be sure to include the correct unit in your answer.
13 ft
14 ft
15 ft

Answers

182 ft squared is the answer

arrange the following decimal fractions from smallest to biggest
7,01
0,701
0,71
7,34
7,0101
71,01
7,034​

Answers

Answer:

0.701, 0.71, 7.01, 7.0101, 7.034​, 7.34, 71.01

Step-by-step explanation:

 

POLYNOMIAL 2) How many total zeros would the function f(x)=2x^5−3x^3+x have?

a 1
b 2
c 4
d 5

Answers

Answer: 5

Step-by-step explanation: I used m.athway

find the area of the shaded figure

Answers

Answer:

I need degrees and numbers to figure out the answers

Solve this equation by Euclid's application of areas: x^2 + 12x = 64.

Answers

Answer:

4

Step-by-step explanation:

If arc FBE is 300°, what is the measure of angle 4?

Answers

Answer:

30 degrees

Step-by-step explanation:

Raj builds a side table in the shape of a cube. Each edge of the cube measures 21 inches. Raj wants to cover the top and four sides of the table with ceramic tiles. Each tile has an edge length of 3 inches. How many tiles will he need?

Pls answer fast​

Answers

Answer: 2000/25 = 80 tiles

Step-by-step explanation:

Date: s=20

equation of surface area of a cube prism: surface area = 6s*2

the surface area to be covered with tiles is requires, the base is not included, so the equation reduces: surface area = 5s*2

subtitute values: surface area = 5(20)*2

= 5(400)

surface area = 2000

area of 2 tile is 5*2 = 25 square inches

2000/25 = 80 tiles

properties of properties

Answers

A physical property is any property that is measurable, whose value describes a state of a physical system. The changes in the physical properties of a system can be used to describe its changes between momentary states. Physical properties are often referred to as observables. They are not modal properties.

examples of properties are length, mass, color, smell, conductivity
etc

Please help! Math work!

Answers

Answer:

The first one is exponential, the second one is linear, and the last one is quadratic.

Step-by-step explanation:

The first one is exponential, because the values are increasing at an increasing rate. In other words, the difference between any consecutive x-values yield a bigger difference.

The second one is linear, because the values are increasing at a constant rate.

The last one is quadratic, because the values decrease, and then increase, which can be represented by a parabola for a quadratic equation.

Find the surface area of the square pyramid. Enter your answer in the box.
A square pyramid. The side length of the base is 11 centimeters. The height of each of the 4 triangular faces is 10 centimeters.

Answers

8560.75

Answer:

apply heros formula √15.5(15.5-10)(15.5-10)(15.5-11

Eugene has three six‐sided dice that he rolls simultaneously. The faces of the dice

contain these letters:

Die #1: A B C D E F

Die #2: G H I J K L

Die #3: M N O P Q R

a. What is the probability that he will roll three vowels? (3 points)

b. What is the probability that he will roll the word DIP?

Answers

Answer:

a. The probability is 1 of 108 that he will roll 3 vowels

b. the probability is 1 of 216 that he will roll the word DIP.

Step-by-step explanation:

a. find the 3 chances and multiply

2/6 x 1/6 x 1/6 = 1/108

b. Find the 3 chances of each letter of DIP and multiply

1/6 x 1/6 x 1/6 = 1/216

Hope this helps! (PLS GIVE BRAINLIEST)

Simplify the expression.
4y-y(3 - 7y) + 5+ 2(8- y)
A.)7y2-y +21
B.)-7y2 - y + 21
C.)-8y + 21
D.)-7y+21

Answers

Answer:

The answer is B

Step-by-step explanation:

4y-3y+7y²+5+16-2y

7y²+4y-3y-2y+5+16

7y²-y+21

Please help will mark as brainliest if correct

Answers

Answer:

B)  29.6°

Step-by-step explanation:

it's a right triangle so you can use SOA CAH TOA

in this case we would use cosine because we know the adjacent and the hypotenuse

arccosФ = 20/23 = 29.59

Which of the following assumptions is not required for the Least Squares principle to produce the line of best fit:_______.
a. the error term (e) is a normally distributed random variable
b. R-square must be greater than 1.0
c. the variance of the error term is constant
d. all of the above are correct answers

Answers

Answer:

b. R-square must be greater than 1.0

Step-by-step explanation:

For a least square regression fit, Assumptions include : Absence of heteroscedasticity, which is the variation must not occur in the variance of the error term. That is the variance between error term and each observation is consistent.

Also, Lack of correlation between observations of the error term and also between independent variables and the error term. It is highly recommended that error term be randomized and normally distributed variable.

The value of R - squared being greater Than 1 is. not an assumption of the least square principle for fitting a regression line.

Which ordered pair is the solution to the system of equations below when
using the matrix tool?
9x - 3y = 54
9x +1 ly = 12

Answers

Answer:

(7, -3)

Step-by-step explanation:

9x - 3y = 54

9x +1 ly = 12

Subtract both expresion

-3y - 11y = 54 - 12

-14y = 42

y = 42/-14

y = -3

Substitute y = -3 into 1;

From 1, 9x - 3y = 54

9x - 3(-3) = 54

9x - 9 = 54

9x = 54 + 9

9x = 63

x = 63/9

x = 7

Hence the solution to the system of equation is (7, -3)

what is the mean absolute deviation of the following data set 3, 13, 11, 5​

Answers

Answer:

4

Step-by-step explanation:

Add up your data. 3+13+11+5=32Divide the sum by the number of data you have. In your case you would divide 32/4/This will give you 8, which is your mean. Now, subtract 8 from each value and put the difference to its absolute value.Now, add up each of these values  (5+5+3+3=16), then divide by 4. This will give you an answer of 4.

Hope this helps! Have a great day :)

Classify the polynomial by the number of terms.
mx+b
•Trinomial
•Monomial
•Polynomial
•Binomial

Answers

Classification:

Monomial: One term

Mono = One

Polynomial: Multiple terms e.g. (2,3,4 and so on)

Poly: Many

Binomial: Two terms

Bi = Two

Trinomial: Three terms

Tri = Three  

The expression of "mx + b" would be classified as a monomial due to it having only one exponent.

You call an expression with a single term a monomial, an expression with two terms is a binomial, and an expression with three terms is a trinomial. An expression with more than three terms is named simply by its number of terms. For example a polynomial with five terms is called a five-term polynomial.
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