1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mylen [45]
3 years ago
10

I surveyed students in my Math II classes to see how many hours of television they watched the night before our big test on tria

ngles. Below are the responses of nine randomly selected students, along with the grades they each earned on that test. (Slope, Y-intercept, etc)))))
^^^^^^^^^^^^^^^^^^6
Hours Spent Watching TV Grade on Test (out of 100)
4 71

2 81

4 62

1 86

3 77

1 93

2 84

3 80

2 85


Use your equation to predict a student’s score if he/she watched 1.5 hours of TV. Round your answer to the nearest whole number.
Mathematics
1 answer:
Oduvanchick [21]3 years ago
6 0
Given the table below representing the number of hours of television nine Math II class students watched the night before a big test on triangles along with the grades they each earned on that test.

\begin{center}
\begin{tabular}
{|c|c|}
Hours Spent Watching TV & Grade on Test (out of 100)  \\ [1ex]
4 & 71 \\ 
2 & 81 \\ 
4 & 62 \\ 
1 & 86 \\ 
3 & 77 \\ 
1 & 93 \\ 
2 & 84 \\ 
3 & 80 \\ 
2 & 85
\end{tabular}
\end{center}

Let the number the number of hours of television each of the students watched the night before the test be x while the grades they each earned on that test be y.

We use the following table to find the equation of the line of best fit of the regression analysis of the data.

\begin{center} \begin{tabular} {|c|c|c|c|} x & y & x^2 & xy \\ [1ex] 4 & 71 & 16 & 284 \\ 2 & 81 & 4 & 162 \\ 4 & 62 & 16 & 248 \\ 1 & 86 & 1 & 86 \\ 3 & 77 & 9 & 231 \\ 1 & 93 & 1 & 93 \\ 2 & 84 & 4 & 168 \\ 3 & 80 & 9 & 240 \\ 2 & 85 & 4 & 170 \\ [1ex]\Sigma x=22 & \Sigma y=719 & \Sigma x^2=64 & \Sigma xy=1,682 \end{tabular} \end{center}

Recall that the equation of the line of best fit of a regression analysis is given by
y=a+bx
where:
a= \frac{(\Sigma y)(\Sigma x^2)-(\Sigma x)(\Sigma xy)}{n(\Sigma x^2)-(\Sigma x)^2}
and
b= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{n(\Sigma x^2)-(\Sigma x)^2}

y=\frac{(719)(64)-(22)(1,682)}{9(64)-(22)^2}+\frac{9(1,682)-(22)(719)}{9(64)-(22)^2}x \\  \\ = \frac{46,016-37,004}{576-484} + \frac{15,138-15,818}{576-484} x \\  \\ = \frac{9,012}{92} + \frac{-680}{92} x \\  \\ =97.95-7.391x

Thus, the equation of the line of best fit is given by y = 97.95 - 7.391x

<span>A student that watched 1.5 hours of TV will have a score given by
y = 97.95 - 7.391(1.5) = 97.95 - 11.0865 = 86.8635

Therefore, </span><span>a student’s score if he/she watched 1.5 hours of TV to the nearest whole number is 87.</span>
You might be interested in
Help anyone would gladly appreciate it
Nutka1998 [239]
(2,-2) there you go
6 0
3 years ago
I'm thinking of a number. My number is 5 more than one half of my number. What's my number?
s344n2d4d5 [400]

Answer:

10

Step-by-step explanation:

Half of 10 is 5. 5+5 is 10

7 0
3 years ago
2x-2y=22 find the value of y when x equals 2
11111nata11111 [884]

Answer:

y = -9

Step-by-step explanation:

Step 1: Substitute x

2(2) - 2y = 22

Step 2: Isolate y

-2y = 18

Step 3: Divide by -2

y = -9

And you have your final answer!

8 0
3 years ago
Read 2 more answers
Four baskets contain scented soaps. The baskets contain 9, 9, 11, and 15 soaps. If the soaps are divided evenly among the basket
jeka94

Answer:

11

Step-by-step explanation:

9+9+11+15 is 44 44/4 is 11

5 0
3 years ago
With compound interest, what happens when you start compounding more and more frequently?
VLD [36.1K]
Your money grows faster because the interest is added back into the principle and then the next time it compounds you get interest on the new principle amount.  So for example, you deposit $100 in an account that gets 5% interest compounded semiannually. The first time it compounds you get $5 added to your account so your new balance is $105.  The next time it compounds you get 5% on $105 so you get $5.25 added and so on.  If this is only happening semi-annually that would be all you get for the year.  But if it happens quarterly you would get would get deposits of $5.51 and $5.79 as well.  If it compounds monthly or even daily your money would grow more and more.  Hope this helps.
7 0
3 years ago
Other questions:
  • Someone help me!! Pls
    8·1 answer
  • Can yall please help me...…….
    11·1 answer
  • If you can only use 3 of these numbers once to find a sum of 30 without subtracting or adding additional numbers, what three num
    6·2 answers
  • Solve for y: 2x-6y=12
    13·2 answers
  • The graph of y = 3 over the sqaure root of x
    7·1 answer
  • The graph below shows the transformation from triangle 1 to triangle 2.
    10·2 answers
  • Solve each of the following: Show your work. 3 movie tickets cost $36. At this rate, what is the cost per ticket? 3 ice cream co
    11·1 answer
  • !!!! PLEASE ANSWER ASAP !!!! WILL GIVE BRAINLIEST !!!!
    9·1 answer
  • Problem<br> Find the solution set of the inequality<br> \qquad12-6x &gt; 24.12−6x&gt;24.
    9·1 answer
  • A yearly coffee club subscription costs $65. Avery received an offer for 62% off the subscription cost. What is the sale price o
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!