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saveliy_v [14]
3 years ago
7

This table contains data on the number of people visiting a historical landmark over a period of one week.. . Day Number of. Vis

itors. 1 120. 2 124. 3 130. 4 131. 5 135. 6 132. 7 135. . Sketch a scatter plot and draw an estimated regression line. Which of these values comes closest to the slope of your regression line?. . 0.6. . 1.0. . 1.6. . 2.4. . 3.2

Mathematics
2 answers:
inysia [295]3 years ago
4 0

Answer:

\boxed{\boxed{\text{slope}=2.4}}

Step-by-step explanation:

A scatter plot is a two-dimensional data visualization that uses dots to represent the values obtained for two different variables one plotted along the x-axis and the other plotted along the y-axis.

A regression line is a straight line that describes how a response variable y changes as an variable x changes. It is the relation between two variables x and y.

Here,

x = day of a week

y = number of visitors

The given data points are (1,120),(2,124),(3,130),(4,131),(5,135),(6,132),(7,135)

Plotting the scatter plot and regression line in Excel, the following is generated which is attached further below.

The regression line is,

y = 2.357x + 120.1

Comparing it with the general slope-intercept form y=mx+c,

slope = 2.357\approx 2.4

wariber [46]3 years ago
4 0
We are given with a table that projects data on people visiting a landmark for over one week. In this case,the slope of the line of the graph can be obtained by plotting the data in Excel. Through excel, the equation of the line is y = 2.3571x + 120.14 with r2 = 0.82. hene the answer is close to C 2.4
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7 . Sampling distribution of the difference between two means A statistician is interested in the effectiveness of a weight-loss
UkoKoshka [18]

Answer:

0.229

Step-by-step explanation:

Given that the difference between the two sample means follows anormal distribution with a mean of11.00 and standard deviation equal to1.4387

A statistician is interested in the effectiveness of a weight-loss supplement. She randomly selects two independent samples. Individuals in the first sample of size n1 = 24 take the weight-loss supplement. Individuals in the second sample of size n2 = 21 take a placebo. Individuals in both samples follow identical exercise and diet programs. At the end of the study, the statistician measures the weight loss (in percent) of each participant.

We find that mean difference actual = 13-2 = 11

Probability that difference >12 =P(Z>\frac{12-11}{1.3487} \\)

=P(Z>0.742)=.0.229

3 0
3 years ago
A local pizzeria offers 15 toppings for their pizzas and you can choose any 3 of them for one fixed price. How many different ty
Shtirlitz [24]

Answer:

  455 or 680, depending

Step-by-step explanation:

If we assume the three choices are different, then there are ...

  15C3 = 15·14·13/(3·2·1) = 35·13 = 455

ways to make the pizza.

___

If two or three of the topping choices can be the same, then there are an additional ...

  2(15C2) +15C1 = 2·105 +15 = 225

ways to make the pizza, for a total of ...

  455 + 225 = 680

different types of pizza.

__

There is a factor of 2 attached to the number of choices of 2 toppings, because you can have double anchovies and tomato, or double tomato and anchovies, for example, when your choice of two toppings is anchovies and tomato.

_____

nCk = n!/(k!(n-k)!)

6 0
3 years ago
Yvonne bought a car for $10,300. After 3 years, the value of the car was $6,250. The value of this car decreases exponentially o
Likurg_2 [28]

Answer:

A = $44,778.84

A = P + I where

P (principal) = $10,300.00

I (interest) = $34,478.84 or 12 months

Step-by-step explanation:

Given: Yvonne bought a car for $10,300. After 3 years, the value of the car was $6,250. 50%

To find: In approximately what number of additional months will the value of Yvonne’s car be 50% of the price she originally paid?

Formula: (\frac{interest rate}{number of payments}) × loan principal = interest

Solution:  Divide your interest rate by the number of payments you’ll make in the year (interest rates are expressed annually). So, for example, if you’re making monthly payments, divide by 12. Multiply it by the balance of your loan, which for the first payment, will be your whole principal amount.

(This gives you the amount of interest you pay the first month.)

First, convert R as a percent to r as a decimal

r = R/100

r = 50/100

r = 0.5 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 10,300.00(1 + 0.5/12)(12)(3)

A = 10,300.00(1 + 0.041666667)(36)

A = $44,778.84

Henceforth:

The total amount accrued, principal plus interest, with compound interest on a principal of $10,300.00 at a rate of 50% per year compounded 12 times per year over 3 years is $44,778.84.

6 0
2 years ago
Please help me it will be quick<br> 1.)-8-5b+7+5b
iragen [17]
-8-5b+7+5b
add +5b to -5b to get 0.
-8+7 = -1
Answer is -1.
6 0
3 years ago
ANSWER THE 2 QUESTION IN 1 MINUTE AND YOU WILL BE THE BRAINLIEST! QUICK QUICK PLEASE!
Oksi-84 [34.3K]

Answer:

1. 54

2. 5

Step-by-step explanation:

1. 18 x 3 = 54

2. 90/18 = 5

4 0
3 years ago
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