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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!

=

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Answer:

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State whether the data described below are discrete or continuous, and explain why. The numbers of police cars different cities
Troyanec [42]

Answer:

Option d

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8 0
3 years ago
Need help with question 2please due in 10mins
Stella [2.4K]

Answer:

x        1            2             6            12         25

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For finding the missing x value, set the original equation to the given f(x) value

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7 0
3 years ago
Assuming x &gt; 0, which of these expressions is equivalent to 11 times the square root of 245 x to the third plus 9 times the s
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The answer is <span>104 x times the square root of 5 x 
</span>
<span>11 times the square root of 245 x to the third plus 9 times the square root of 45 x to the third is:
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4 0
3 years ago
Read 2 more answers
Help meh pls (problem below)
Masja [62]

Answer:

44 hours

Step-by-step explanation:

Topic of this question: Creating and Solving Equations, Rates, and Proportions

<h2>Method 1: Creating and Solving Equations</h2>

Step 1: Find the amount drilled per hour

To do this, we have to divide the amount drilled by the number of hours it took to drill and find how much is being drilled per hour.

(I know it's a mouthful)

-72ft = 24x, where x is the amount drilled per hour

-72ft ÷ 24 = x

-3ft = x

-3ft per hour

Step 2: Find how many hours it takes to drill to -132 ft

Since we know the rate of drilling per hour, we can divide the target amount by the amount drilled per hour

-132 ÷ -3 = y, where y is the number of hours it takes

44 = y

y = 44

It will take a total of 44 hours to drill to -132 ft

<h2>Method 2: Proportions</h2>

We can set up a proportion like this, where we know that it takes 24 hours to drill 72 ft, but we don't know how long it takes to drill 132 feet

\frac{-72}{24} = \frac{-132}x

Cross multiply

-72x = 24 * -132

Simplify

-72x = -3168\\

Divide both sides by -72

x = -3,168/-72

x = 44

It will take a total of 44 hours to dig to -132 ft

-Chetan K

8 0
3 years ago
Read 2 more answers
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