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marysya [2.9K]
2 years ago
5

Which of the following regression equations best fits the data shown below?

Mathematics
1 answer:
Natasha_Volkova [10]2 years ago
7 0

Answer:

Choice B best fits the data shown

Step-by-step explanation:

We employ the scatter-plot feature in Ms. Excel and then add an exponential trend line selecting the display equation on chart option. The attachment below is an image from the excel workbook where the task was performed.

From the attachment the regression equation was obtained as;

y=3.799e^{0.7x}

But;

e^{0.7}=2.01

Thus, the regression equation can be expressed as;

y=3.80*2.01^{x}

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Will’s meal of grilled chicken strips and carrots contained a total of 333 calories. The bag of grilled chicken strips contained
saw5 [17]

It is given that Total Calories in the meal = 333

Calories per Grilled Chicken Strip = 110

# of Grilled Chicken Strips = x

Calories per Carrot = 29

# of Carrots = y

So the above information can be represented as:

Total Calories = (Calories per Grilled Chicken Strip × Number of Chicken Strips) + (Calories per Carrot × Number of Carrots)

Substituting the values in the above equation.

⇒ 333 = 110 × x + 29 × y

⇒ 110 × x + 29 × y = 333. This equation is in standard form, as an equation in standard form has the format Ax + By = C.

Out of the below options

(A) 110y = –29x + 333

(B) 29x + 110y = 333

(C) 29y = –110x + 333

(D) 110x + 29y = 333

So the standard form of equation matches with option (D), and hence the correct answer is 110x + 29y = 333


8 0
2 years ago
Read 2 more answers
. A system may become infected by some spyware through the internet or e-mail. Seventy percent of the time the spyware arrives v
dem82 [27]

Answer:

This spyware is detected 66% of the time.

Step-by-step explanation:

We have these following percentages:

70% of the time, the spyware arrives via the internet, and in this case, is detected 60% of the time.

30% of the time, the spyware arrives via e-mail, and in this case, is detected 80% of the time.

What percentage of times is this spyware detected

Sum of 60% of 70%(arrived via spyware, detecte) and 80% of 30%(arrive via e-mail, detected). So

0.6*0.7 + 0.8*0.3 = 0.42 + 0.24 = 0.66

This spyware is detected 66% of the time.

3 0
2 years ago
Suppose you are a television network executive interested in how a new pilot show, Statistics, will be received by the general U
a_sh-v [17]

Answer:

Step-by-step explanation:

Hello!

If X₁, X₂, ..., Xₙ be the n random variables that constitute a sample, then any function of type θ = î (X₁, X₂, ..., Xₙ) that depends solely on the n variables and does not contain any parameters known, it is called the estimator of the parameter.

When the function i (.) It is applied to the set of the n numerical values ​​of the respective random variables, a numerical value is generated, called parameter estimate θ.

This follows the concepts:

1) The function i (.) It is a function of random variables, so it is also a random variable, that is to say, that every estimator is a random variable.

2) From the above, it follows that Î has its probability distribution and therefore mathematical hope, E (î), and variance, V (î).

In this example, the variable of interest is X: response of a U.S. television viewer surveyed over the Statistics show.

The mean response was μ=6.5 and the standard deviation σ=1.5

If many samples of U.S. television viewers with size n=9 were taken and the sample mean of the user's ratings was calculated. The resulting sample mean will be a random variable and its distribution will have the same shape as the population it was originally calculated from.

The correct option is:

1. The shape of the distribution of mean ratings depends on the shape of the ratings of the general U.S. television-viewing population.

Since is impossible to study whole populations, due to economic, materials, and time reasons, especially when the populations are very big. Then since you cannot study the population mean directly, it is best to do it through the sample mean. For this, you need to know its theoretical distribution.

Correct option:

2. To conclude the population mean using a sample mean, you need to know the theoretical distribution of the possible values the sample mean ratings could have.

I hope you have a SUPER day!

8 0
2 years ago
What must be subtracted from 4x4 - 2x3 -6x2 + x - 5 so that the result is exactly divisible by 2x2 + 3x - 2? PLS ANSWER. I WILL
aalyn [17]

Answer:

Step-by-step explanation:

To solve this we should use the Euclidean division :

  • Our polynomial function is 16-2x³-6x²+x+9=-2x³-6x²+x+9
  • we should divided by :  4+3x-2=3x+2 and see the rest

Here is a picture with the operation

  • the rest is 47/9 so the number I SHOULD SUBSTACT IS 47/9

8 0
2 years ago
Two workers produced 86 parts and the first one produced 8 more parts than the second one. How many parts did each worker produc
Diano4ka-milaya [45]
1st worker produced x pants,
2nd worker produced (x+8) pants.

x+x+8=86
2x=78
x= 39

x+8 = 
39+8 = 47

1st worker produced 39 pants,
2nd worker produced 47 pants.
6 0
2 years ago
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