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timurjin [86]
3 years ago
11

Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take

both test and the results are give below Test A | 64 48 51 59 60 43 41 42 35 50 45 Test B | 91 68 80 92 91 67 65 67 56 78 71 (a) What is the value of the linear coefficient r (b) Assuming a 0.05 level of significance, what is the critical value
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
6 0

Answer:

a) r = 0.974

b) Critical value = 0.602

Step-by-step explanation:

Given - Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both test and the results are give below

Test A | 64 48 51 59 60 43 41 42 35 50 45

Test B |  91 68 80 92 91 67 65 67 56 78 71

To find - (a) What is the value of the linear coefficient r ?

             (b) Assuming a 0.05 level of significance, what is the critical value ?

Proof -

A)

r = 0.974

B)

Critical Values for the Correlation Coefficient

n       alpha = .05          alpha = .01

4           0.95                       0.99

5           0.878                     0.959

6           0.811                       0.917

7           0.754                      0.875

8           0.707                      0.834

9           0.666                      0.798

10          0.632                      0.765

11           0.602                      0.735

12          0.576                       0.708

13          0.553                       0.684

14           0.532                       0.661

So,

Critical r = 0.602 for n = 11 and alpha = 0.05

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Answer:

454

Step-by-step explanation:

set up a system of equation

let y be the number of students

let x be the number of adults

because there are twice the amount of students attended as adults, we can use y=2x as one equation

the other equation will be 6.5y+9x=4972 because this represents the total amount of money

plug 2x for y : 6.5(2x)+9x=4972 : x=226

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3 years ago
Which of the following is a point-slope equation of a line that passes through the points (-1,4) and (8,-2)
dexar [7]

Answer:

y = (2/3)x + 4 2/3

Step-by-step explanation:

For reference, a linear function has an equation of y = mx + b

The first thing we're going to do is use the slope formula, \frac{y2-y1}{x2-x1} or rise over run. In this case that looks like:

(-2-4) - (8 - -1)

-2 -4 comes out to - 6, and the denominator comes out to 9.

6/9 is equal to 2/3, which is our m or slope value.

Next we want to find the b value, or our y-intercept. To do that we'll plug one of the points into the equation with our new-found slope:

4 = (2/3)-1 +b

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That means our complete equation is:

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4 0
3 years ago
Identify a counter example for the following conditional:
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The answer is C. Jonah Lincoln lives in Springfield, Illinois


5 0
3 years ago
Function and Reasoning:
Akimi4 [234]

The number of calories per ounce of soda is 10

<h3>Part A: Represent the relationship between the number of calories and the number of ounces</h3>

The given parameters are:

Calories = 50

Ounces = 5

Let the number of calories be y and the ounces be x.

So, we have:

y = kx

Substitute y = 50 and x = 5

50 = 5k

Divide by 5

k = 10

Substitute k = 10 in y = kx

y = 10x

See attachment for the graph of the relationship between the number of calories and the number of ounces

<h3>Part B: What is the number of calories per ounce of soda?</h3>

In (a), we have:

k = 10

This means that the number of calories per ounce of soda is 10

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The unit rate and the slope represent the same and they have the same value

Read more about linear graphs at:

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#SPJ1

4 0
2 years ago
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Alenkinab [10]

Answer:

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answer is 132

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