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3 years ago

What does a residual value of 1.3 mean when referring to the line of best fit of a data set?

Mathematics

2 answers:

lara31 [8.8K]3 years ago

6 0

1.3 mean is positive so answer should be

<span>A. A data point is 1.3 units above the line of best fit.</span>

tresset_1 [31]3 years ago

4 0

The answer will be A. For me cause it seems best fit.

You might be interested in

A cookie factory monitored the number of broken cookies per pack yesterday.

trapecia [35]

Answer:

Confidence Interval - 2.290 < S < 2.965

Step-by-step explanation:

Complete question

A chocolate chip cookie manufacturing company recorded the number of chocolate chips in a sample of 50 cookies. The mean is 23.33 and the standard deviation is 2.6. Construct a 80% confidence interval estimate of the standard deviation of the numbers of chocolate chips in all such cookies.

Solution

Given

n=50

x=23.33

s=2.6

Alpha = 1-0.80 = 0.20

X^2(a/2,n-1) = X^2(0.10, 49) = 63.17

sqrt(63.17) = 7.948

X^2(1 - a/2,n-1) = X^2(0.90, 49) = 37.69

sqrt(37.69) = 6.139

s*sqrt(n-1) = 18.2

$s\sqrt{\frac{n-1}{X^2 _{(n-1), \frac{\alpha }{2} } }$ $\leq \sigma \leq s\sqrt{\frac{n-1}{X^2 _{(n-1), 1-\frac{\alpha }{2} } }$

confidence interval:

(18.2/7.948) < S < (18.2/6.139)

2.290 < S < 2.965

8 0

3 years ago

In a call center that stays open all the time, calls arrive as a poisson process with a mean rate of 0.3 complaints per hour.(a)

DENIUS [597]

The probability the 51st call arriaves within 150hours is 0.0431, the probability the next call arrives within the next 2 hours 0.5488, the probability the sum of these 50 numbers is less than 356 is 0.4165.

Data;

Mean rate = 0.3
x = 50
standard deviation = ?

<h3>Poission Rule</h3>

Using poission formula,

$P(x=x) = \frac{e^-^\lambda - \lambda^x}{x!}\\\lambda = 0.3 per minute$

Let's substitute the values into the formula.

For 50 calls in 150 hours

For 150 hours = x = 0.3 * 150 = 45

$p(x=50) = \frac{e^-^4^5 * 45^5^0}{50!} = 0.0431$

The probability the next call arrives after 2 hours.

$\lambda = 0.3 * 2 = 0.6\\p(x=0) = \frac{e^-^0^.^6 * 0.6^0}{0!} = 0.5488$

The number of calls recieved each day is recorded for 50 consecutive days.

for 50 days;

$\lambda = 0.3 * 50 * 24 = 360$

The mean = 360

The standard deviation is given as

$S.D = \sigma =\sqrt{360} = 18.974\\$

The probability the sum of these 50 number is less than 356 is

$p = (x < 356) = z = \frac{356 - 360}{18.974} = -0.2108\\p(z < -0.2108) = 0.4165$

Learn more on poission formula here;

brainly.com/question/7879375

3 0

2 years ago

Nolan rides his bike 63 miles in 270 minutes what is his average speed in miles per hour

shusha [124]

63 in 4.5 hours
63 divided by 4.5 is 14 so
14 MPH would be your answer

5 0

3 years ago

Read 2 more answers

Drinking 8 fluid ounces of milk provides 270.0 milligrams of calcium. How many fluid ounces of milk provide 72.5 milligrams of c

olga nikolaevna [1]

I believe this is a problem dealing with proportions, so you could cross multiply and divide. so you would do 8/270 then x/72.5 , you cross multiply 72.5x8 which equals 580. then you divide that answer by 100 which equals 5.8 (:

6 0

4 years ago

Maria and jane bought a whole pizza pie. marie ate 1/5 of the pie and jane ate 1/4 of the pie. write a number sentence to find o

Papessa [141]

Eleven Twentieths of the pie are left, so that's 11/20

Method to solve;
Since its given a 1/4 and a 1/5 it's easiest to convert these to twentieths (the lowest common multiple of 4 and 5)
So 1/4= 5/20
1/5 = 4/20
How much is eaten = 5/20 + 4/20 = 9/20
How much remains = Total (20/20) - How much eaten (9/20) = 11/20

8 0

3 years ago