Question

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Answer correclty

Question 1:
What is the first step to writing an equation in slope-intercept form using the given points: (-1, 0), (-2, -2).

A) Use point-slope form

B) Substitute -1 for x and 0 for y in y = mx + b

C) Find the slope using the slope formula
y2 - y1
x2 - x1

D) Find the slope using the slope formula y = mx + b

Question 2:
The events x and y have a correlation coefficient of r= 0.02. What is the relationship between x and y?

A) The events have a strong negative linear correlation.

B) The events have a strong positive linear correlation.

C) The events have a weak negative linear correlation.

D) There is little or no linear correlation.

Question 3:
Camille asked five of her friends how long they studied for the last math test and what grade they received. She found a linear regression equation for the data to be y = 9.6x + 65.8, with x representing hours.

What does the 9.6 and the 65.8 mean in the context of this equation?

A) 9.6 = the lowest score you can get;
65.8 = the highest score you can get

B) 9.6 = the number of points you would increase each hour of studying;
65.8 = your score if you studied 0 hours

C) 9.6 = the number of points you would increase each hour of studying;
65.8 = the highest score you can get

D) 9.6 = the number of hours you studied;
65.8 = your score if you studied 0 hours

Question 4:
Which ordered pair would NOT appear as a solution for the linear equation y = −x + 3?

A) (0, 3)

B) (-1, 4)

C) (3, -2)

D) (-7, 10)

Answer 1

4. C)
`(3, -2)`

3. B) 9,6 = the number of points you would increase each hour of studying; 65,8 = your score if you studied 0 hours

2. B) The events have a strong positive linear correlation.

1. C) Find the slope using the slope formula:

`(y_2 - y_1)/(x_2 - x_1)`

Explanation:

4. (−7, 10) → 10 = 7 + 3 ☑

(−1, 4) → 4 = 1 + 3 ☑

(0, 3) → 3 = 0 + 3 ☑

(3, −2) → −2 ≠ −3 + 3; 0 ☒

3. You obviously have to plug "0" in for x to get your initial value of 65,8, which represents the minimum value of points you would receive if you never were to study, and of course, the 9,6 is the average score increased for every hour studied.

2. The correlation coefficient is 0,02, which is positive, so this would be the obvious choice.

1. You CANNOT write a linear equation without FIRST finding the rate of change [slope]. You will ALWAYS need the rate of change in order to write any linear equation.

I am joyous to assist you anytime.

Answer 2

The first step to write an equation is slope-intercept form is to find the slope using the formula

`m=(y_(2) -y_(1) )/(x_(2) -x_(1) )`

Therefore, the answer to question 1 is C.

On the other hand, when a correlation coefficient is near to zero, that means there's no correlation between variables. So, in this case, we have a coefficient of r = 0.02, which is really close to zero.

Therefore, the answer to question 2 is D. There is little or no linear correlation.

The linear regression in question 3 is

`y=9.6x+65.8`

Where,
`x` represents hours and
`y` the score.

Now, according to this relation, the minimum score you can get is 65.8, that is, if you studied zero hours, you get 65.8. And 9.6 represents the increase in points per hour studied.

Therefore, the right answer for question 3 is B.

In question 4, the given expression is

`y=-x+3`

Now, to find the right answer, we need to test each point and see which one satisfy the equation

For (0,3)

`y=-x+3\\3=-0+3\\3=3`

This means choice A appears as a solution.

For (-1,4)

`y=-x+3\\4=-(-1)+3\\4=4`

Option B also appears as solution

For (3,-2)

`y=-x+3\\-2=-3+3\\-2=0`

Choice C doesn't appear as solution.

Therefore, the right answer is C.