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LuckyWell [14K]
3 years ago
12

The National Football League has performed a study in which the total yards gained by teams in games was used as an independent

variable to explain the variation in total points scored by teams during games. The points scored ranged from 0 to 57 and the yards gained ranged from 187 to 569. The following regression model was determined: = 12.3 + .12x. Given this model, which of the following statements is true? a.)The average points scored for teams who gain zero yards during a game is -12.3 points. b.) The average yards gained will increase by .12 for every additional point scored. c.) The average change in points scored for each increase of one yard will be 0.12. d.) The average number of points scored per game is 12.3.
Mathematics
1 answer:
luda_lava [24]3 years ago
8 0

Answer:

C

Step-by-step explanation:

A regression model is a function which can be used to predict behavior of the model. It takes data points in and forms a general pattern for the pattern using an equation. This model y = 12.3 + 0.12x is a linear regression model which means it has linear behavior (a line) where x is total yards gained and y is number of points scored. If one additional yard is gained then the score is likely to be 12.3 + 0.12(1) = 12.42. If two additional yards is gained then the score is likely to be 12.3 + 0.12(2) = 12.54. Notice the score increases by 0.12 points for every yard gained. This is answer choice C.

a.)The average points scored for teams who gain zero yards during a game is -12.3 points.

b.) The average yards gained will increase by .12 for every additional point scored.

c.) The average change in points scored for each increase of one yard will be 0.12.

d.) The average number of points scored per game is 12.3.

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Answer:

75% of the data will reside in the range 23000 to 28400.

Step-by-step explanation :

To find the range of values :

We need to find the values that deviate from the mean. Since we want at least 75% of the data to reside between the range therefore we have,

1 - \frac{1}{k^2} =\frac{75}{100}

Solving this, we would get k = 2 which shows the value one needs to find lies outside the range.

Range is given by : mean +/- (z score) × (value of a standard deviation)  

⇒ Range : 25700 +/- 2 × 1350

⇒ Range : (25700 - 2700) to (25700 + 2700)

Hence, 75% of the data will reside in the range 23000 to 28400.

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3 years ago
I am thinking of a number. I subtract 10 then divide by 2 and I now have 19. What was my original number? (Hint: Start with the
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Write the point-slope form of the equation of the line through the given point with the given
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Question 3)

Given

The point (1, -5)

The slope m = -5/6

Using the point-slope form of the equation of a line

y-y_1=m\left(x-x_1\right)

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In our case:

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substituting the values m = -5/6 and the point (1, -5) in the point-slope form of the equation of the line

y-y_1=m\left(x-x_1\right)

y-\left(-5\right)=-\frac{5}{6}\left(x-1\right)

y+5=-\frac{5}{6}\left(x-1\right)

Thus, the point-slope form of the equation of the line is:

y+5=-\frac{5}{6}\left(x-1\right)

Question 4)

Given

The point (-1, 5)

The slope m = -7/2

In our case:

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substituting the values m = -7/2 and the point (-1, 5) in the point-slope form of the equation of the line

y-y_1=m\left(x-x_1\right)

y-5=-\frac{7}{2}\left(x-\left(-1\right)\right)

y-5=-\frac{7}{2}\left(x+1\right)

Thus, the point-slope form of the equation of the line is:

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2. A function g(x) is defined by the diagram shown below.
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Answer:

Step-by-step explanation:

diagram attached represents a function g(x).

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c). Inverse of the function g(x) will have,

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   Since, "a function can't have two output values for the same input value".

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Answer:

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