19
Crickets chirp faster when it gets warmer. The number of chirps per minute by crickets (x) is given along
with the surrounding temperature (y):
(10 pts)
#chirps/min 20.0 16.0 19.8 18.4 17.1
Temperature (°F) 88.6
71.6 93.3 84.3 80.6
a)
Find the correlation coefficient, r. Would you say there is a significant linear correlation? Why or
why not?
b)
Give the linear regression equation. Round your numbers to three decimal places,
c)
Use your equation to predict the temperature when a cricket chirps 17 times per minute, or state
that it is inappropriate.
d)
Use your equation to predict the temperature when a cricket chirps 30 times per minute, or state
that it is inappropriate.
e)
Find and interpret the coefficient of determination (r2)

Answers

Answer 1

Step-by-step explanation:

Step 1.  Enter the data into the lists.  

For basic entry of data, see Basic Commands.

cricket1  

Step 2.  Create a scatter plot of the data.  

   

cricket4

Obviously, there is some scatter to this data. This variability is the norm, rather than the exception when working with biological data sets.  Real-life data seldom creates a nice straight line.

Step 3.  Choose the Linear Regression Model.

    Press STAT, arrow right to CALC, and arrow down to 4: LinReg (ax+b).  Hit ENTER.  When LinReg appears on the home screen, type the parameters L1, L2, Y1.  The Y1 will put the equation into Y= for you.  

           (Y1 comes from VARS → YVARS, #Function, Y1)

cricket6  

cricket7Older OS form.

cricket newNewer OS form.

cricket8

The linear regression equation is

y = 3.41x + 22.85

(answer to part a)

Step 4.  Graph the Linear Regression Equation from Y1.

    ZOOM #9 ZoomStat to see the graph.

cricket9

(answer to part b)

Step 5.  Is this model a "good fit"?

    The correlation coefficient, r, is .8320424586 which just barely places the correlation into the "strong" category.  (0.8 or greater is a "strong" correlation)

    The coefficient of determination, r 2, is .6922946529 which means that 70% of the total variation in y can be explained by the relationship between x and y.  The other 30% remains unexplained.

    Yes, it is somewhat of a "good fit".

        (answer to part c)

a3

Step 6.  Extrapolate:  (beyond the data set)

     If the ground temperature reached 95º, then at what approximate rate would you expect the crickets to be chirping?

Step 7.  Interpolate: (within the data set)

    With a listening device, you discovered that on a particular morning the crickets were chirping at a rate of 18 chirps per second.  What was the approximate ground temperature that morning?

 The power equation, type 18, hit ENTER, and the answer will appear at the bottom of the screen.

cricket12

(answer to part e --  the ground

the temperature will be approx. 84.23º F)

Step 8.  If the ground temperature should drop to freezing (32º F), what happens to the cricket's chirping?

a4

The TABLE tells us that at 32º F there are 2.68 chirps per second.  So, what does this really mean?  Are the crickets cold?

These findings are a bit deceiving.  At 32º F, the crickets are dead.  The lifespan of cricket in a cold climate is very short.  The crickets spend the winter as eggs laid in the soil.  These eggs hatch in late spring or early summer and tiny immature crickets called nymphs to emerge.  Nymphs develop into adults within approximately 90 days. The adults mate and lay eggs in late summer before succumbing to old age or freezing temperatures in the fall.


Related Questions

The floor of Aisha’s rectangular bedroom has an area of 144 feet squared. Which are possible dimensions of her bedroom? Select three options. 14.4 ft by 10 ft 6 ft by 12 ft 8 ft by 9 ft 8 ft by 18 ft 9 ft by 16 ft

Answers

Answer:  The correct options are

14.4 ft. by 10 ft.

8 ft. by 18 ft.

and 9 ft. by 16 ft.

I think.

Answer:

A. 14.4 ft by 10 ft

D. 8 ft by 18 ft

E. 9 ft by 16 ft

Step-by-step explanation:

I hope this helped

Evaluate the expression. Can someone show me how this is done with fractions on 7 and 9

Answers

Answer:

Number 7 is; -1/7776

number nine is :| −8/ 3 | or 2.666667

Step-by-step explanation:

-1/6)^5=1^5/6^5

=-1/^5/6/5

1^5=1

=-1/6^5

6^5=7776

=-1/7776

|(− 1/ 3 )(110+9−2)|

=| −1/ 3 (110+9−2)|

=| −1/ 3 (1+9−2)|

=| −1/ 3 (10−2)|

=| −1 /3 (8)|

=| −8 /3 | =2.666667

Hope this helped!!!!

Two parallel lines are crossed by a transversal.
What is the value of x?

Answers

Answer:

what are the questions

Step-by-step explanation:

Is there a picture you can show us ?

Find the midpoint of BD.
B (0, a)
C С
А
D (a,0)
Enter the value that [?]
belongs in the green box.

Midpoint Formula: M = (4x2.979)

2
Enter

Answers

Answer:

A

Step-by-step explanation:

(0.5a, 0.5a) is the midpoint of the line BD and a is the value that belongs in the green box.

What is a midpoint?

The midpoint of a line segment is a point that lies exactly halfway between two points.

Consider the points B(0,a) and D(a,0).

The general form of midpoint formula is given by

Midpoint = ( (x₁ + x₂)/2 , (y₁ + y₂)/2)

Here, x₁ = 0, x₂=a and y₁ = a, y₂ = 0

Therefore, the value that belongs in the green box is given by

(x₁ + x₂)/2 = (0+a)/2 = a/2 = 0.5a

(y₁ + y₂)/2 = (a+0)/2 = a/2 = 0.5a

The midpoint is given by

Midpoint = ( (x₁ + x₂)/2 , (y₁ + y₂)/2) = (0.5a, 0.5a)

Hence, the value that belongs in the green box is a and the midpoint of the line BD is (0.5a, 0.5a).

To learn more about midpoint, use the link given below:

https://brainly.com/question/28224145

#SPJ2

Which of the functiors below could have created this graph

Answers

Answer:

bces

Step-by-step explanation:

a bottle of soft drinks costs $2. the commission paid on one bottle is 2% of the cost price.find the commission on 24 bottles of soft drinks​

Answers

Answer:

$0.96

Step-by-step explanation:

First, find the cost of the 24 bottles, by multiplying 24 by 2

24(2)

= 48

Find the commission by finding 2% of 48

48(0.02)

= 0.96

So, the commission will be $0.96

The commission on 24 bottles of soft drinks​ is $0.96.

How to find the commission on 24 bottles of soft drinks​?

Given:

a bottle of soft drinks costs $2. the commission paid on one bottle stands at 2% of the cost price.

First, we want to estimate the cost of the 24 bottles, by multiplying 24

by 2

[tex]= 24*(2)[/tex]

= 48

To find the commission by estimating 2% of 48

commission = 48*(0.02)

commission = 0.96

So, the commission will be $0.96.

Therefore, the commission on 24 bottles of soft drinks​ is $0.96.

To learn more about algebra

https://brainly.com/question/17201233

#SPJ2

Somebody help me please whoever answers first get it thanks and 11 points

Answers

Answer:

time 0 1. 2. 3.

distance. 0. 60. 120. 180.

1.time and distance are the two main quantity.

2. distance depends on time

3.time

4. hours minutes seconds

5.distance miles metres kilometers

6.Time is always the independent variable. The other variable is the dependent variable (in our example: time is the independent variable and distance is the dependent variable).

7 multiplicative

8.miles per hours

9.rate= distance/time

rate*time=distance

5th grade math. correct answer will be marked brainliest

Answers

Answer:

1/4 x 3/4 = 3/16

For the polynomial x^3-7x^2+12x-6, 1 is a zero. Express g(x) as a product of linear factors.

Answers

Answer:

(x–1)(x²–6x+6)

Explanation:

Given that 1 is a zero, we can use synthetic division to compute the factor.

If 1 is a zero (x–1) is a factor.

Here is the process:

| 1 | 1 -7 12 -6

↓ +(1) +(-6) +(6)

↓ ↓ ↓

1 -6 6 0

→ [1]x² + [-6]x + [6]1 + [0]/x–1 =

x² – 6x + 6.

Therefore the factors are (x–1)(x²–6x+6)

The question is attached in the photo PLEASE HELP ASAP!!!!!!
THIS IS DUE TODAY!!!!!!!!!!!!

*** I will make you brainiest if the answer is correct ***

Answers

Answer:

$420

Step-by-step explanation:

In the figure, the living room is 5 cm by 3.5 cm.

We use the scale to convert to the real measurements.

1 cm = 4 ft

5 cm * 4 ft/cm = 20 ft

3.5 cm * 4 ft/cm = 14 ft

The actual dimensions of the room are 20 ft by 14 ft.

actual area = 20 ft * 14 ft = 280 ft²

carpet cost = $1.50/ft²

cost of carpet = 280 ft² * $1.50/ft²

cost of carpet = $420

Answer: $420

in January, Jamie pays $2.00 for a tube of toothpaste.
When she buys the same brand and size toothpaste in
February, she pays $2.25. what is the percent increase in the price of the toothpaste from january to february? round to the nearest tenth of a percent?
please hurry

Answers

Answer:

12% or 13% rounded

Step-by-step explanation:

.25 of 2.00 is .125 or 12% or 13% rounded

Find the measure of angle b. Show work to prove your answer.
b/50

Answers

Answer:

b = 130°

Step-by-step explanation:

angles b and 50° are supplementary angles so their sum is 180°.

b = 180° - 50° = 130°

Answer:

Step-by-step explanation:

right angel u have to  angel it with a pen on a paper but i know its b/50 cuz i did it already.

What is the value of the expression below when x equals 4? 13 + 13x​

Answers

Answer:

the answer is 50

Step-by-step explanation:

13+13*4
13+52
65
hope this helps

Solve the following system of inequalities graphically on the set of axes below. State
the coordinates of a point in the solution set.
y < -x +4
y > 3x – 8

Answers

Answer:

[tex](x,y) = (3,1)[/tex]

Step-by-step explanation:

Given

[tex]y < -x + 4[/tex]

[tex]y > 3x - 8[/tex]

Required

Solve graphically

See attachment for graph;

The blue shade represents [tex]y < -x + 4[/tex]

While the green, represents [tex]y > 3x - 8[/tex]

Next, determine the intersection points between the two lines

From the attached graph, we have:

[tex](x,y) = (3,1)[/tex]

Hence, the solution is: [tex](3,1)[/tex]

find the missing side of each triangle

Answers

12 i think!! i hope this helped

Terrell got 1 3/4 pounds of ground meat and 2 1/6 of ground chicken. he used 1 2/3 pounds of ground chicken to make a casserole. how much ground chicken did he have left?​

Answers

Answer:

Okay so we have to solve this in separate parts. Like so, its wiill go like this: 2+ 1/6 - 1 - 2/3. So we see that we have 2 and 1 as whole. Subtract 2 - 1 is 1 right. Now for fractional part 1/6 - 2/3. Since its uneven, we have to find the LCD which is 6. This forms of our fractions into 1/6- 4/6. 1/6 - 4/6 is 3/6. simplify it would result in 1/2.  The amount of ground chicken that Terrell has left is 1/2.

A pair of shoes that normally sells for $85.00 goes on sale for 35% off. Season thinks that the sale price should be $50.00 but Melanie disagrees and says the price should be $55.25. Aiyanna says they are both wrong and decides the price should be $29.75. Who is correct and why?

Answers

Answer:

Melanie is correct

Step-by-step explanation:

35% of 85 is 29.75 so take that away from the original price and you get 55.25

This means the price will be 55.25$

Answer:

Melanie is correct since 65% of $85.00 is $55.25.

Step-by-step explanation:

The original price of the shoes is $85.00. That is 100% of the price of the shoes since 100% is a whole amount.

The discount on the shoes is 35%.

100% - 35% = 65%

That means the sale price is 65% of the original price. Now we calculate 65% of $85.00.

65% of $85.00 =

= 0.65 * $85.00

= $55.25

Answer: Melanie is correct since 65% of $85.00 is 55.25.

Jamie purchases a new pair of shoes for $35. She has a coupon for 15%
off the price of the shoes. What is the cost of Jamie's shoes after using
the coupon?

Answers

Answer:

Ewan di ko alam e sorry I didn't understand e

Find the measure of angle A
(look at pic pls help)


A- 120
B- 300
C- 60
D- 90​

Answers

Answer: 300

Step-by-step explanation:

Answer:

90

Step-by-step explanation:


A kite flying in the air has a 78-string attached to it, and the string is pulled taut. The angle of elevation of the kite is 52°. Find the height of the kite. Round
your answer to the nearest tenth.

Answers

Answer:

sine 52 degrees = height / 78

height = 78 * sine 52

height = 78 * 0.78801

height = 61.46478 feet

rounded to nearest tenth 61.5 feet

Step-by-step explanation:

FIRST CORRECT ANSWER GETS BRAINLIEST!!!!!!!! Suppose you were digging at a rate of 10 feet per day. Assume you are ar sea level when you begin digging. If there are 365 days in a year, write an equation to represent the depth of the hole where d= depth in feet and t= time in years

Answers

Answer:

simple

Step-by-step explanation:

365 x 10 = 3650 feet

took you 1 year

and adding on sea level 1,312 feet

3650 + 1,312 = 4962 in 1 year

hope im right

Which statement best describes whether the function is linear or nonlinear?

Answers

Answer:

Is nonlinear because the common ratio is 3

Step-by-step explanation:

A linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (x₁, y₁) and (x₂, y₂) then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Now to this problem, if the data corresponds to a linear equation, then for any set of points we choose we should see the same slope.

For example, if we choose the first and second points:

(0,20) and (1, 60) the slope is:

a = (60 - 20)/(1 - 0) = 40/1 = 40

a = 40

Now if we choose the first and third points:

(0, 20) and (2, 180)

The slope is:

a = (180 - 20)/(2 - 0) = (160/2) = 80

So the slopes are different, which means that this function is nonlinear.

If we look at the f(x) values for the second point onwards, we can see that:

f(2) = 60

f(3) = 60*3 = 180

f(4) = 180*3 = 540

f(5) = 540*3 = 1620

and so on.

So this seems to be an exponential function with a common ratio of 3 between consecutive outputs.

Having a common ratio is not a property of linear functions, then the correct options is:

"Is nonlinear because the common ratio is 3"

Please help me with this!

Answers

9514 1404 393

Answer:

  y ≥ -2/3x +2

Step-by-step explanation:

The y-intercept of the boundary line is y=2.

The next grid intersection to the right appears to be the x-intercept at x=3, which represents a "rise" of -2 and a "run" of +3 from the y-intercept.

At this point, we know the slope (rise/run = -2/3) and the y-intercept (+2) of the boundary line. We see it is a solid line, and shading is above it. This means the inequality could be ...

  y = mx + b . . . . . . . . . equation for a line with slope m and y-intercept b

  y ≥ -2/3x +2 . . . . . equation for the graphed inequality

__

Alternate solution

We observe that the y-intercept is +2, and the x-intercept is +3. The equation of the boundary line can be written in intercept form as ...

  x/x-intercept = y/y-intercept = 1

As noted above, the line is shaded where both x- and y-values are greater than or equal to those on the line. So, the "intercept form" of the inequality could be ...

  x/3 +y/2 ≥ 1

Often, we don't like fractions, so we can multiply by 6 to put this in standard form:

  2x +3y ≥ 6

_____

Additional comment

Any of these highlighted inequalities is "an inequality" that describes the graph. We don't know if you're required to write the inequality in a specific form.

Please help me with this answer
Thank you!

Answers

18 percent you welcome

Jan’s family has 3/4 of a cake left. How many members of her family can get 1/4 of what is left?

Answers

Answer:

3

Step-by-step explanation:

3/4 divided by 1/4 equals 3

Answer:

3

Step-by-step explanation:

3/4 is currently left

Subtract 1/4 by 3/4 until nothing is left

The number you get is 3 therefore the answer is 3

In figure, if PQ = QR = 14cm, then find the length of the tangent RT.
gimme answer fastt pls​

Answers

Step-by-step explanation:

When we observe the figure there are two semicircles , one of radius 14cm . And other will be of 14cm/2 = 7cm ( Since the 2nd semi circle is drawn taking radius of 1st semicircle as diameter.)

Now join T to the center of 2nd semi circle . Therefore , we have

[tex]\tt\to PR = 28cm \\\\\tt\to PQ + 14cm = 28cm \\\\\tt\to PM + MQ = 14cm \\\\\tt\to MQ = 14cm - 7cm \\\\\to\boxed{\orange{\tt MQ = 7cm }}[/tex]

Now , looking at the figure we know that radius is perpendicular to the tangent at point of contact . Here TR is tangent . Therefore ∆TRM is right angled triangle. Using Pythagoras Theorem we have,

[tex]\tt\to 21^2 = RT^2+7^2 \\\\\tt\to RT^2= 441 - 49 \\\\\tt\to RT =\sqrt{392}\\\\\tt\to\boxed{\orange{\tt RT = 19 .79 cm }}[/tex]

1245 :- 14 me pueden ayudar porfa

Answers

88.92 espero que te sirva :)

A certain flight transports over 1,000 passengers daily, and the airline is curious what proportion of passengers
on this flight don't use overhead bin space. They take an SRS of 40 of these passengers and find that 6 of them
don't use overhead bin space. The airline wants to use this data to create a one-sample z interval to estimate
the proportion of passengers on this flight don't use overhead bin space.
Which conditions for constructing this confidence interval did the sample meet?
Choose all answers that apply:
The data is a random sample from the population of interest.
nö > 10 and n(1-P) > 10
Individual observations can be considered independent.

Answers

Answer: The data is a random sample from the population of interest.

And

Individual observations can be considered independent.

Step-by-step explanation:

On khan academy

Linear function last one

Answers

Answer:

y=1/2x

Step-by-step explanation:

y=-x would go the other way so cross that one

y=2x would go up really quickly so cross that one

y=0.001x would be more like a horizontal line so cross that one

y = 1/2 is correct  

A normal distribution has a mean of 14 and a standard deviation of 4. What percent of values are from 14 to 22?

Answers

Answer:

80% of the values will occurs above 68.24.

Step-by-step explain

thinking this is right but im sorry if its wrong

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