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CaHeK987 [17]
3 years ago
13

A collection of paired data consists of the number of years that students have studied Spanish and their scores on a Spanish lan

guage proficiency test. A computer program was used to obtain the least squares linear regression line and the computer output is shown below. Along with the paired sample data, the program was also given an x value of 2 (years of study) to be used for predicting test score. What percentage of the total variation in test scores can be explained by the linear relationship between years of study and test scorch? Are both of coefficients of regression statistically significant?

Mathematics
1 answer:
babunello [35]3 years ago
8 0

Complete Question

The complete question is shown on the first uploaded image

Answer:

The percentage is  83%

Step-by-step explanation:

Generally R-Sq is known as the coefficient of  determination and from the question the value is  83% and this R-Sq defines  the total variation in test scores can be explained by the linear relationship between years of study and test scores

So  83 % of the total variation in test scores is unexplained by the linear relationship between years of study and test scores

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dangina [55]
\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h\qquad 
\begin{cases}
r=radius=\frac{diameter}{2}\\
h=height\\
----------\\
diameter=1.8\\
r=\frac{1.8}{2}=0.9\\
h=5
\end{cases}\implies V=\pi \cdot 0.9^2\cdot 5\\\\
-------------------------------\\\\
\textit{is draining at }\boxed{2.1}\ \frac{ft^3}{min}\textit{ , it has a total of }\boxed{\pi \cdot 0.9^2\cdot 5} \ ft^3
\\\\\\
\textit{it'll take }\cfrac{\pi \cdot 0.9^2\cdot 5}{2.1}\ minutes
3 0
3 years ago
Write the linear equation in slope intercept form 2x+By=16
allochka39001 [22]

Answer:

Part 1) y=-\frac{2x}{B}x+\frac{16}{B}

Part 2) y=-\frac{1}{4}x+2

Step-by-step explanation:

Part 1)

we know that

The equation of the line in slope intercept form is equal to

y=mx+b

we have

2x+By=16

Isolate the variable y

subtract 2x both sides

By=-2x+16

Divide by B both sides

y=-\frac{2x}{B}x+\frac{16}{B}

Part 2)

we know that

The equation of the line in slope intercept form is equal to

y=mx+b

we have

2x+8y=16

Isolate the variable y

subtract 2x both sides

8y=-2x+16

Divide by 8 both sides

y=-\frac{2x}{8}x+\frac{16}{8}

Simplify

y=-\frac{1}{4}x+2

3 0
3 years ago
Only answer 28 ( I added this parentheses so that the thing would accept my question)
avanturin [10]

Answer:

(a). Number of protons in a chlorine atom = 17

(b). Atomic number of sodium = 11

Step-by-step explanation:

Let the number of protons in a sodium atom = <em>x</em>

Then, the number of protons in a chlorine atom =<em> x</em> + 6

Now, it is given that the atomic number of an element is equal to the number of protons per atom.

So, atomic number of sodium (Na) = <em>x</em>

Atomic number of chlorine (Cl) = <em>x</em> + 6

It is given that the atomic number of chlorine is 5 less than twice the atomic number of sodium.

∴ atomic number of chlorine (Cl) = 2 × atomic number of sodium (Na) - 5

⇒ <em>x</em> + 6 = 2<em>x</em> - 5

⇒ <em>x </em>- 2<em>x</em> = -5 - 6

⇒ -<em>x</em> = -11

Cancelling the minus sign from both sides, we get

<em>x</em> = 11

(a). Number of protons in a chlorine atom = <em>x</em> + 6

                                                                     = 11 + 6      (∵ <em>x</em> = 11)

                                                                     = 17

(b). Atomic number of sodium = <em>x</em> = 11

3 0
3 years ago
A science teacher recorded the pulse of each of the students in her classes after the students had
Lyrx [107]

The class which generally had the highest pulse of students recorded by the science teacher after climbing the stairs is class 3.

<h3>What is box plot representation of data?</h3>

Box plot is the way of representation of data which gives the graphical image of the data set to understand better.

The minimum and the maximum values in the box plot is plotted at the end points.

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In this box plot, the class 3 has the highest value compare to all the box plot.

Thus, the class which generally had the highest pulse of students recorded by the science teacher after climbing the stairs is class 3.

Learn more about the box plot here;

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2 years ago
14 over 21 simplified
anastassius [24]
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