The best answer from the options that proves that the residual plot shows that the line of best fit is appropriate for the data is: ( Statement 1 ) Yes, because the points have no clear pattern

X Given Predicted Residual value

1 3.5 4.06 -0.56

2 2.3 2.09 0.21

3 1.1 0.12 0.98

4 2.2 -1.85 4.05

5 -4.1 -3.82 -0.28

The residual value is calculated as follows using this formula: ( Given - predicted )

1) ( 3.5 - 4.06 ) = -0.56

2) ( 2.3 - 2.09 ) = 0.21

3) ( 1.1 - 0.12 ) = 0.98

4) (2.2 - (-1.85) = 4.05

5) ( -4.1 - (-3.82) = -0.28

Residual values are the difference between the given values and the predicted values in a given data set and the residual plot is used to represent these values .

attached below is the residual plot of the data set

hence we can conclude from the residual plot attached below that the line of best fit is appropriate for the data because the points have no clear pattern ( i.e. scattered )

learn more about residual plots : brainly.com/question/16821224

5 0

2 years ago

Solve the following quadratic equation using the quadratic formula. 6x² +7x - 11 = 0

Black_prince [1.1K]

Only difference your example has 11 and here it's ten
screenshoot

3 0

3 years ago

how does inflation rate relate to rule of 72? how does saving money in an account with compound interest help protect you from i

Mumz [18]

Answer:

The rule of 72 is a formula used to measure the approximate time it will take for an investment to double. The word "approximate" should be highlighted, as it is not a 100% exact formula.

The formula used is to divide 72 between the interest rate paid by the investment. The result is the number of years in which the capital invested will double.

It is important to mention that at the interest rate or return on your investment you must subtract the inflation. For example, if the annual rate of return is 15%, and inflation is 5% per year, your net rate is 10%.

For example, if you have an investment of $ 10,000 in a mutual fund, which pays you 10% per year. If you calculate 72/10, you will see that your investment will double in 7.2 years.

Now, if there is an annual inflation of 2%, the calculation should be 72 / (10-2), with which the investment will double in 9 years.

3 0

3 years ago

|<br> 3. What is the next number in the sequence 20, 10, 5, 5/2

Vitek1552 [10]

Answer:

$\large\boxed{\dfrac{5}{4}}$

Step-by-step explanation:

$a_1=20\\\\a_2=\dfrac{20}{2}=10\\\\a_3=\dfrac{10}{2}=5\\\\a_4=\dfrac{5}{2}\\\\a_5=\dfrac{\frac{5}{2}}{2}=\dfrac{5}{2}\cdot\dfrac{1}{2}=\dfrac{5}{4}$

6 0

3 years ago