What are the dimensions of the product? a 1 x 2 b 2 x 2 c 3 x 2 d 3 x 3

Use linear regression to find the equation for the linear function that best fits this data. Round both numbers to two decimal p

natta225 [31]

Answer:

The equation of the linear function that best fits the data is,

y = 18.66x + 66.87.

Step-by-step explanation:

The line of best is of the form: y = mx + b.

Here, m = slope of the line and b = intercept.

The formula to compute the intercept and slope are:

$b=\frac{\sum Y.\sum X^{2}-\sum X.\sum XY}{n.\sum X^{2}-(\sum X)^{2}}$

$m=\frac{n.\sum XY-\sum X.\sum Y}{n.\sum X^{2}-(\sum X)^{2}}$

Consider the table below for the values of ∑ X, ∑ Y, ∑ X² and ∑ XY.

Compute the value of intercept and slope as follows:

$b=\frac{\sum Y.\sum X^{2}-\sum X.\sum XY}{n.\sum X^{2}-(\sum X)^{2}}=\frac{(793\times91)-(21\times3102)}{(6\times91)-(21)^{2}} =66.867$

$m=\frac{n.\sum XY-\sum X.\sum Y}{n.\sum X^{2}-(\sum X)^{2}}=\frac{(6\times3102)-(21\times793)}{(6\times91)- (21)^{2}} =18.657$

The line of best fit is:

$y=mx+b\\y=18.657x+66.867\\y=18.66x+66.87$

Thus, the equation of the linear function that best fits the data is y = 18.66x + 66.87.

3 0

3 years ago

A rectangular bed of a truck is 1 9/10 meters long,1 1/2 meters wide, and 1/2 meter tall. What is the volume of the truck bed?

Sophie [7]

Answer:

The volume of the truck bed is $1\frac{17}{40}\ m^{3}$

Step-by-step explanation:

we know that

The volume is equal to

$V=LWH$

substitute the values , but first convert to an improper fractions

$L=1\frac{9}{10}\ m=\frac{10*1+9}{10}=\frac{19}{10}\ m$

$W=1\frac{1}{2}\ m=\frac{1*2+1}{2}=\frac{3}{2}\ m$

$H=\frac{1}{2}\ m$

Find the volume

$V=(\frac{19}{10})(\frac{3}{2})(\frac{1}{2})=\frac{57}{40}\ m^{3}$

Convert to mixed number

$\frac{57}{40}\ m^{3}=\frac{40}{40}+\frac{17}{40}=1\frac{17}{40}\ m^{3}$

3 0

3 years ago

the rate of change of sales tax on trousers is 10% one can buy a pair of trousers at$660. What is the marked price?

Anika [276]

Step-by-step explanation:

Total price = Marked price + Sales tax

= Marked price + (0.1 * Marked price)

= 1.1 * Marked price.

Since the total price is $660, the marked price is $660 / 1.1 = $600.

8 0

3 years ago

5x-x/y when x=4 and y=2

erik [133]

5x-x/y when x=4 and y=2

5(4)-4/2

20-2

18

3 0

3 years ago

Find the missing length of the triangle.

Dafna1 [17]

There are special properties to certain right triangles.

A 3-4-5 triangle will always be a right triangle. 9 divides into 3, and 15 divides into 5, so you can use ratios to find b.

Since 9 divides into 3, we will use this to set up proportions for the missing value:

$\frac{9}{3} = \frac{b}{4}$

Cross multiply the fractions.

$3b = 36$

Divide both sides by 3.

$b = 12$

The missing value is 12.

4 0

3 years ago

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