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belka [17]
3 years ago
11

The regression equation, y = 8.5x + 30, is obtained after performing a regression analysis, where x represents the number of hou

rs studied for an exam and y represents the marks on the exam. Is the following statement true or false regarding the analysis above? If the regression square (R^ 2) is 0.949, the number of hours studied is very useful for predicting the exam marks.O TrueO False
Mathematics
1 answer:
dusya [7]3 years ago
3 0

Answer: It is usefull.

Step-by-step explanation:

The regression squared talks to us about how well the model fits in the experimental data, where 0.0 means that the model does not fit at all, and 100% means that the model fits perfectly.

This is always true? well, really not, there are cases where you can have a regression square of 0.98, which would imply that the model is correct, but when you see the residual vs fit the plot, you may see some pattern, which implies that there is a problem with the model (you always expect to see randomness when you look at this graph). While for a prediction, this actually may work (at least in the range of the data points, outside this range the model and the data may not coincide at all)

Now, it still is useful in a certain range, so we can actually conclude that if R^2 = 0.949 represents a model that is useful for predicting the exam marks.

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Denise makes three times as many chocolate cupcakes as vanilla cupcakes. She also makes three dozen strawberry cupcakes. If Deni
slamgirl [31]

Answer:

6 dozens

Step-by-step explanation:

Vanilla, v = x

Chocolate, c = 3x

Strawberry, s = 3 dozens = 36

Total cupcakes = 132

Hence,

x + 3x + 36 = 132

4x = 96

x = 96 / 4

x = 24

Chocolate = 3 * 24 = 72

Dozens of chocolate = 72 /12 = 6 dozens

7 0
3 years ago
Victoria wants to purchase a skateboard. She has $125 to spend. She finds one that regularly sells for $139.99 and is on sale fo
Pavel [41]

Well, to see if she can afford the skateboard, start by finding the discount and then finding the sales tax of that.

To find the discount, first find 15% of $139.99 and then subtract it since that's how much you're getting off.

<em>Remember: </em><em>to find percentage, convert the percentage into a decimal by dividing it by 100, and then multiplying it by what you're finding a percentage of. </em>

15% ÷ 100 = 0.15

$139.99 x 0.15 = 20.9985, which can be rounded up to $21.

$139.99 - 21 = 118.99.

Now that we have the discount, we find the sales tax, which can be found the same way as the discount, but we add it to the total instead fo subtracting it.

7% ÷  100 = 0.07

0.07 x 118.99 8.3293 or  $8.33

118.99 + 8.33 = 127.32

<em>This is the final total of how much the skateboard would cost.</em>

So:

No, she would not have enough money to buy the skateboard. With the discount alone, she could afford it, since $118 falls in her budget range, but with the added tax, it's 13 dollars over and she cannot afford the skateboard.

5 0
3 years ago
Given the function g(x)=3x-7, determine when g(x)=-4
sp2606 [1]

You have the following function:

g(x) = 3x - 7

In order to determine th value of x when g(x) = -4, you equal the previous expression to -4 and solve for x, just as follow:

g(x) = 3x - 7 replace g(x) = -4

-4 = 3x - 7 add 7 both sides

-4 + 7 = 3x simplify

3 = 3x divide by 3 both sides

3/3 = x

x = 1

Hence, the anser is x = 1

3 0
1 year ago
What is 2x – 3 &lt; 7 and 5 – x ≤ 8?
iren2701 [21]

Answer:

\begin{bmatrix}x

Step-by-step explanation:

2x -3 < 7 \\ 5 - x \leq  8\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:2x-3

7 0
4 years ago
Read 2 more answers
Can some explain steps​
Mashutka [201]

Answer:

r = 3.

Step-by-step explanation:

16 = 10 + √(3r + 27)

√(3r + 27) = 6

Square both sides:

3r + 27 = 36

3r = 36 - 27 = 9

r = 3.

Check the result:

Left side of the equation = 16

Right side = 10 + √(9 + 27)

                  = 10 + √36 = 16

5 0
2 years ago
Read 2 more answers
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