All categories

2 years ago

Given the line of best fit for a set of data points with the equation y = 5x – 2.5,

Mathematics

2 answers:

yuradex [85]2 years ago

7 0

Answer:

The correct option is C.

Step-by-step explanation:

The equation of line of best fit for a set of data is

$y=5x-2.5$

The estimated value of the function at x=5 is

$\text{Estimated value}=5(5)-2.5=22.5$

The point of the data is (5,26). It means the observed value at x=5 is 26.

The formula for residual is

Residual value = Observed value - Estimated value

$Residual=26-22.5$

$Residual=3.5$

Therefore, the correct option is C.

alisha [4.7K]2 years ago

3 0

The answer i got was - 3.5

You might be interested in

Which describes how to graph h (x) = negative RootIndex StartRoot x + 8 EndRoot by transforming the parent function?

SashulF [63]

Answer:

Reflect the parent function over the x-axis, and translate it 8 units to the left.

Step-by-step explanation:

The given function is

$y = - \sqrt{x + 8}$

The parent function is

$y = \sqrt{x}$

Since there is a negative multiply the transformed function, there is a reflection in the x-axis.

Since 8 is adding, within the square root, there is a horizontal translation of 8 units to the left.

Therefore to graph the given function, reflect the parent function over the x-axis, and translate it 8 units to the left.

5 0

2 years ago

Consider the set of differences, denoted with d, between two dependent sets: 84, 85, 83, 63, 61, 100, 98. Find the sample standa

sveta [45]

Answer:

The sample standard deviation is 15.3.

Step-by-step explanation:

Given data items,

84, 85, 83, 63, 61, 100, 98,

Number of data items, N = 7,

Let x represents the data item,

Mean of the data points,

$\bar{x}=\frac{84+85+83+63+61+100+98}{7}$

$=82$

Hence, sample standard deviation would be,

$\sigma= \sqrt{\frac{1}{N-1}\sum_{i=1}^{N} (x_i-\bar{x})^2}$

$=\sqrt{\frac{1}{6}\sum_{i=1}^{7} (x_i-82)^2}$

$=\sqrt{\frac{1}{6}\times 1396}$

$=\sqrt{232.666666667}$

$=15.2534149182$

$\approx 15.3$

4 0

2 years ago

The number f of miles a helicopter is from its destination x minutes after takeoff is given by f (x)=40-2x. The number f of mile

nevsk [136]

Answer:

Step-by-step explanation:

Function 'f' represents the number of miles (y-values) covered by the helicopter in 'x' (x-values) minutes.

f(x) = 40 - 2x

For x = 0,

f(x) = 40 miles

For f(x) = 0,

0 = 40 - 2x

x = 20 minutes

This shows that helicopter traveled 40 miles in 20 minutes.

Similarly, given graph shows distance covered by the jet on y-axis and duration of flight on x-axis.

For x = 0,

f(x) = 500 miles

For f(x) = 0,

x = 100 minutes

Commercial jet traveled 500 miles in 100 minutes.

7 0

2 years ago

Which is equivalent to-2(4-3x)+ (5x-2)

almond37 [142]

Answer:

Step-by-step explanation:

-2(4-3x)+(5x-2)

-8+6x+5x-2

11x-10

3 0

2 years ago

A train traveled 260 miles in 4 hours. If the train’s average rate of travel increases by 12 mph, what is its new average rate o

jasenka [17]

Answer:

Correct option A

Step-by-step explanation:

Average rate = 260/4 = 65 mph

It increases by 12mph

So 65+12 = 77 mph

Correct option A

8 0

2 years ago

Read 2 more answers