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3 years ago

What is the exponential regression equation that fits these data?

Mathematics

2 answers:

zlopas [31]3 years ago

6 0

Answer:

Option B) $y = (1.31)(2.8^{x})$ is the correct option.

Step-by-step explanation:

<em>Exponential function is the one where, a constant is raised to the power of x, a independent variable.</em>

Here, only option B and D are such exponential functions, while option A is linear and option C is quadratic in nature.

Now, to verify which option is correct, we will input the values and check which has the least difference between the given values.

Or we can use the cost function,

$J = \frac{((y(i))-y)^2}{2m}$ , to find which function has the least error.

By applying the above results,we find Option B is correct.

Lorico [155]3 years ago

3 0

Answer:

Correct Answer B

Step-by-step explanation:

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Jacob Lee is a frequent traveler between Los Angeles and San Diego. For the past month, he wrote down the flight times in minute

valkas [14]

Solution :

We know that

$H_0: \mu_1 = \mu_2=\mu_3$

$H_1 :$ At least one mean is different form the others (claim)

We need to find the critical values.

We know k = 3 , N = 35, α = 0.05

d.f.N = k - 1

= 3 - 1 = 2

d.f.D = N - k

= 35 - 3 = 32

SO the critical value is 3.295

The mean and the variance of each sample :

Goust Jet red Cloudtran

$\overline X_1 =50.5$ $\overline X_2 =50.07143$ $\overline X_3 =55.71429$

$s_1^2=19.96154$ $s_2^2=14.68681$ $s_3^2=36.57143$

The grand mean or the overall mean is(GM) :

$\overline X_{GM}=\frac{\sum \overline X}{N}$

$=\frac{51+51+...+49+49}{35}$

= 52.1714

The variance between the groups

$s_B^2=\frac{\sum n_i\left( \overline X_i - \overline X_{GM}\right)^2}{k-1}$

$=\frac{\left[14(50.5-52.1714)^2+14(52.07143-52.1714)^2+7(55.71426-52.1714)^2\right]}{3-1}$

$=\frac{127.1143}{2}$

= 63.55714

The Variance within the groups

$s_W^2=\frac{\sum(n_i-1)s_i^2}{\sum(n_i-1)}$

$=\frac{(14-1)19.96154+(14-1)14.68681+(7-1)36.57143}{(14-1)+(14-1)+(7-1)}$

$=\frac{669.8571}{32}$

= 20.93304

The F-test statistics value is :

$F=\frac{s_B^2}{s_W^2}$

$=\frac{63.55714}{20.93304}$

= 3.036212

Now since the 3.036 < 3.295, we do not reject the null hypothesis.

So there is no sufficient evidence to support the claim that there is a difference among the means.

The ANOVA table is :

Source Sum of squares d.f Mean square F

Between 127.1143 2 63.55714 3.036212

Within 669.8571 32 20.93304

Total 796.9714 34

3 0

3 years ago

Please help will give brainliest

valkas [14]

Answer:The second answer there are 3 kids and one adult and the ratio would be 3:1 .

Step-by-step explanation:

4 0

3 years ago

So, I have a question if anyone can answer soon.

Sonja [21]

Answer:

You're right must be a different problem

Step-by-step explanation:

You know this, but just to verify:

1. Find Common Denominator:

6 15/21 - 6 7/21

2. Subtract

6 15/21 - 6 7/21 = 8/21 feet

7 0

3 years ago

Find the factors<br> 4x^2+9

Vlad [161]

Step-by-step explanation:

So 4x2+9 has no linear factors with Real coefficients. It is possible to factor it with Complex coefficients.

7 0

3 years ago

Im confused, can someone help?

Bumek [7]

Well, the y-intercept is represented by B. So b would be the dot crossing the y-axis in each graph (which you already circled). Next, the slope for top left is: -1.5, top right is: -1.7, bottom left is: 3, and bottom right is: 1.33. I got those by using this very helpful website named Desmos. Now, I’m order to write the equation for each graph is very simple, all you have to do is put in the slope and y-intercept into the equation. For example, the top left one would be:
y = -1.5x + 4 since we know that the slope is equal to -1.5 and the y-intercept is equal to 4. Hope this helps :)

8 0

3 years ago