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2 years ago

A set of data points has a line of best fit of y=2.5x-1.5

Mathematics

2 answers:

tamaranim1 [39]2 years ago

8 0

Answer:

-1.5

Step-by-step explanation:

castortr0y [4]2 years ago

7 0

To solve this problem you must apply the proccedure shown below:

1- You must apply the following formula:

$R=yo-yp$

Where $R$ is the residual, $yo$ is the observed value $y$ and $yp$ is the predicted value $y$ .

2- You only need to substitute the $x=5$ into the equation $y=2.5x-1.5$ and then, you must apply the formula for calculate the residual:

$y=2.5(5)-1.5\\ y=11$

$R=12-11\\ R=1$

The answer is: The residual is $1$

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Lina20 [59]

Answer:

(7,4)

Step-by-step explanation:

The midpoint formula is expressed as:

M(X, Y) = {(x2+x1)/2, (y2+y1)/2

Given the coordinates of the midpoint

M(2.5, -1.5)

Endpoint A(-2, -7)

Required

Endpoint B

From the formula;

X = x2+x1/2

Given

X = 2.5, x1 = -2

Get x2

2.5 = -2+x2/2

5 = -2+x2

x2 = 5+2

x2 = 7

Also

Y = y2+y1/2

-1.5 = -7+y2/2

-3 =-7+y2

y2 = -3+7

y2 = 4

Hence the coordinate of the endpoint B (x2,y2) is (7,4)

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2 years ago

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kupik [55]

Answer:

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Step-by-step explanation:

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2 years ago

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crimeas [40]

Answer:

Below mentioned is the answer.

Step-by-step explanation:

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2 years ago

The equation |x − 8| = 3 represents the minimum and maximum percent of people in a survey who are undecided about an issue. What

icang [17]

| x - 8| = 3

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x = 5

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2 years ago

Read 2 more answers

Researchers from Dartmouth Medical School conducted a study in 2003 to look at the connection between watching actors smoking in

docker41 [41]

Answer:

The 95% confidence interval for the proportion of adolescents who tried smoking for the first time because of exposure to smoking in the movies is (0.37, 0.40).

Step-by-step explanation:

A confidence interval is an interval estimate of the population parameter. The confidence interval has a certain probability of consisting the true value of the parameter.

The (1 - α) % confidence interval for the population proportion (p) is given by:

$CI=\hat p\pm z_{\alpha/2}\times \sqrt{\frac{\hat p(1-\hat p)}{n}}$

The information provided is:

$n = 6522\\\hat p=0.38\\z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table for the critical value.

Construct the 95% confidence interval for the proportion of adolescents who tried smoking for the first time because of exposure to smoking in the movies as follows:

$CI=\hat p\pm z_{\alpha/2}\times \sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.38\pm 1.96\times \sqrt{\frac{0.38(1-0.38)}{6522}}\\=0.38\pm 0.0118\\=(0.3682, 0.3918)\\\approx (0.37, 0.40)$

Thus, the 95% confidence interval for the proportion of adolescents who tried smoking for the first time because of exposure to smoking in the movies is (0.37, 0.40).

8 0

2 years ago