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
harina [27]
3 years ago
11

A random sample of 11 students produced the following data, where x is the hours spent per month playing games, and y is the fin

al exam score (out of a maximum of 50 points). The data are presented below in the table of values.
x y
14 46
15 49
16 37
17 42
18 37
19 31
20 25
21 23
22 20
23 15
24 12
What is the value of the intercept of the regression line, b, rounded to one decimal place?
Mathematics
1 answer:
Sholpan [36]3 years ago
4 0

Answer:

b = - 3.7

Step-by-step explanation:

here are the data values:

x   y          XY        X²

14 46         644       196

15 49         735       225

16 37          592      256

17 42          714        289

18 37          666      324

19 31           589      361

20 25         500      400

21 23          483       441

22 20         440       484

23 15          345       529

24 12         288       576

now we are required to find the summation (total) of all values of X, Y, XY and X².

∑X = 209

∑Y = 337

∑XY = 5996

∑X² = 4081

The formular for finding b is given as:

b = n∑XY - (X)(Y) / n∑X² - (∑X)²

= 11(5996) - (209)(337) / 11(4081) - (209)²

= 65956 - 70433 / 44891 - 43681

= -4477/ 1210

= -3.7

The question asked us to find the <em>value of b</em> but we can  go further to find the equation of the regression line:

a = ∑Y - b∑X / n

= 337 - (-3.7)(209)/  11

=1110.3/11

= 100.94

the equation is:

Y = 100.94 - 3.7X

I hope you find my solution useful!

=

You might be interested in
Write the the right answer and how you got to the answer. BEST ANSWER GETS BRAINLIEST
Gala2k [10]
I split it into parts. The small rectangle sticking out is 2x3 which is a 6 and the big rectangle 4x8 which is 32. The triangle is 8x2/2 which is 8. 6+32+8 = 46
6 0
3 years ago
Read 2 more answers
What is the value of y?<br><br> Enter your answer, as an exact value, in the box.
mylen [45]

Answer:

y/2 = tan(60) => y = 2 tan(60) = 2sqrt(3) = 3.464

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
At what angle does a diffraction grating produce a second-order maximum for light having a first-order maximum at 20.0 degrees?
hichkok12 [17]

Answer:

At 43.2°.

Step-by-step explanation:

To find the angle we need to use the following equation:

d*sin(\theta) = m\lambda

Where:

d: is the separation of the grating

m: is the order of the maximum

λ: is the wavelength

θ: is the angle              

At the first-order maximum (m=1) at 20.0 degrees we have:

\frac{\lambda}{d} = \frac{sin(\theta)}{m} = \frac{sin(20.0)}{1} = 0.342

Now, to produce a second-order maximum (m=2) the angle must be:

sin(\theta) = \frac{\lambda}{d}*m

\theta = arcsin(\frac{\lambda}{d}*m) = arcsin(0.342*2) = 43.2 ^{\circ}

Therefore, the diffraction grating will produce a second-order maximum for the light at 43.2°.    

I hope it helps you!                                                        

6 0
3 years ago
4x + 5 is greater than 11
erastova [34]

Answer:

if your asking if x is greater than 11 it will be false

Step-by-step explanation:

8 0
3 years ago
It rained 18 days during the month of April what percentage of day did it not rain during the month of April
kotykmax [81]
There are 30 days in April.

If 18 days had rain, it means 12 didn't.

18/30=x/100

Make sure both fractions can be made into fractions with a denominator of 100:

180/300=x/100

Divide 180/300 by 3:

60/100=x/100

This shows that the 18 days that did rain take up 60% of the whole month.

So then the remaining 12 days that didn't have rain must take up 40% of the month.

Solution:
40% of the days did not have rain during the month of April
6 0
3 years ago
Other questions:
  • 68/80 as a fraction,percent,and decimal
    12·1 answer
  • Write an equation in standard form of the line that passes through (−6,−10) and has the slope m=1/6.
    8·2 answers
  • 1.) Jasmine earns her regular pay of $9.50 per hour for up to 40 hours of
    6·2 answers
  • If 60 is 75% of s value, what is that value
    6·1 answer
  • HELP ON GEOMETRY!!! PHOTO ATTACHED
    9·2 answers
  • Simplify: √8x^5+ x√18x^3<br>÷x^2√50x​
    7·1 answer
  • the area of a children’s square playground is 50m squared, what is the exact length of the playground
    13·2 answers
  • You want to be able to withdraw $25,000 from your account each year for 20 years after you retire.
    11·1 answer
  • I need help with my fractions please
    5·2 answers
  • PICK ONE OF THE FOLLOWING (imagine added)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!