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bekas [8.4K]
3 years ago
8

E ( y ) = β 0 + β 1 x 1 + β 2 x 2 + β 3 x 3

Mathematics
1 answer:
GenaCL600 [577]3 years ago
5 0

Answer:

b.For each additional dollar paid to a tutor, we expect exam score to increase by 1.5 points, holding number of hours of sleep per week and number of study hours fixed.

Step-by-step explanation:

Hello!

For any multiple regression model, you can define the estimated slope as "the change or modification of the estimated average of Y when one of the explanatory variables increases one unit while the others remain constant.

In this example the dependant variable is:

Y: Exam score

And you have three explanatory variables:

X₁: salary of the teacher ($).

X₂: hours of sleep per week of a student.

X₃: number of study hours of a student.

The estimated model is ŷ= 65 + 1.5X₁ + 0.2X₂ + 0.5X₃

You need to interpret the estimated slope of the amount paid to the teacher b₁= 1.5

The units of the slope are units of Y by units of X, in this case, Y has no units so it is 1/$.

Then we can say that for every additional dollar paid to the teacher, the estimated mean score of the exam will increase by 1.5 1/$ while the weekly sleep hours and study hours remain constant.

I hope it helps!

You might be interested in
A segment with endpoints A (4, 2) and C (1, 5) is partitioned by a point B such that AB and BC form a 1:3 ratio. Find B.
Furkat [3]

The coordinates of point B that divides the line in the ratio 1:3 is: ( C )(3.25, 2.75)

<h3>What is a line segment?</h3>

A line segment is formed by joining two points by a straight line.

Analysis:

The coordinates of point B(x,y) are gotten by the formula

x = \frac{px2 + qx1}{p+q}

y = \frac{py2 + qy1}{p + q}

where, x1 and y1 are coordinates of A and x2 and y2 are coordinates of B

are the values of the ratio p:q.

x1 = 4, x2 = 1 y1 = 5,  y2 = 2, p = 1, q = 3

x = \frac{(1 x 1) + (3 x 4)}{1 + 3} = 3.25

y = \frac{(1 x 5) + ( 3 x 2)}{1+3} = 2.75

coordinates of B are ( 3.25, 2.75)

In conclusion, the coordinates of point B are (3.25, 2.75)

Learn more about line segment : brainly.com/question/2437195

#SPJ1

4 0
2 years ago
Match each polynomial function w/ one of its factors.
ololo11 [35]

Answer: 1 goes with 2 4 goes with 3

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
PLEASE HELP OH LORD JESUS PLEASE HELP ME!! I NEED HELP!! PLEASE HELP!!!
ddd [48]

Answer:

-1        <---------- slope

Step-by-step explanation:

Since the formula is y2-y1=x2-x1

since the points are (-2,6) and (0,4)

Enter the points in

4-6/0-(-2)   ----> (2 negatives is a +)

-2/2= -1

The slope is -1

If the slope is -1, the equation will be y=-x+b

then, enter one of the given points, (-2,6)

6=2+b

b=4

So the slope int form is y=-x+b

to find the point slope form,

y-y1=m(x1-x) <--- formula

So,

take 1 point (-2,6) and enter it in

y-6=-1(x+2)   <--- point slope form

to graph y=-3x+2

make x=0 and enter into the equation

y=0+2

y=2

so if x=0, y=2 so thats one point (0,2)

and lets say if x=-6 (enter into equation)

y=-3(-6)+2

y=18+2

y=20

so if x=-6, y=20 (another point) (-6,20)

you only need 2 points to graph a line

so enter (0,2) and (-6,20) and draw a line

4 0
3 years ago
I) Coordinates of point P
SSSSS [86.1K]

Given:

Five points P, Q, R, S ,T on a coordinate plane.

To find:

The coordinates of (i) P, (ii) Q, (iii) T, (iv) (Ordinate of T) – (Abscissa of R) and (v) (Abscissa of Q) – (Ordinate of S).

Solution:

From the given graph it is clear that the coordinates of given points are

P = (1,1)

Q = (-3,0)

R = (-2,-3)

S = (2,1)

T = (4,-2)

(i)

Coordinates of point P are (1,1).

Therefore, the correct option is (a).

(ii)

Coordinates of point Q are (-3,0).

Therefore, the correct option is (b).

(iii)

Coordinates of point T are (4,-2).

Therefore, the correct option is (c).

(iv)

Ordinate is y-coordinate and abscissa is x-coordinate.

Ordinate of T = -2

Abscissa of R = -2

(Ordinate of T) – (Abscissa of R) = -2 - (-2)

                                                     = -2 + 2

                                                     = 0

Therefore, the correct option is (c).

(v)

Abscissa of Q = -3

Ordinate of S = 1

(Abscissa of Q) – (Ordinate of S) = -3 - 1

                                                      = -4

Therefore, the correct option is (a).

8 0
3 years ago
OB is the perpendicular bisector of AD. AO = 2x + 5 and OD = 3x _ 5. Solve for x
Sphinxa [80]
As OB is the perpendicular bisector of AD. So AO = OD
Hence 2x + 5 = 3x – 5
3x – 2x = 5 + 5
<span>x = 10</span>
3 0
3 years ago
Read 2 more answers
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