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!
Answer:
b
Step-by-step explanation:
Answer:
Acute scalene triangle.
Step-by-step explanation:
Acute scalene triangle.
Sides: a = 4 b = 7 c = 8
Area: T = 13.998
Perimeter: p = 19
Semiperimeter: s = 9.5
Angle ∠ A = α = 29.995° = 29°59'41″ = 0.524 rad
Angle ∠ B = β = 61.028° = 61°1'42″ = 1.065 rad
Angle ∠ C = γ = 88.977° = 88°58'37″ = 1.553 rad
Height: ha = 6.999
Height: hb = 3.999
Height: hc = 3.499
Median: ma = 7.246
Median: mb = 5.268
Median: mc = 4.062
Inradius: r = 1.473
Circumradius: R = 4.001
Vertex coordinates: A[8; 0] B[0; 0] C[1.938; 3.499]
Centroid: CG[3.313; 1.166]
Coordinates of the circumscribed circle: U[4; 0.071]
Coordinates of the inscribed circle: I[2.5; 1.473]
Exterior (or external, outer) angles of the triangle:
∠ A' = α' = 150.005° = 150°19″ = 0.524 rad
∠ B' = β' = 118.972° = 118°58'18″ = 1.065 rad
∠ C' = γ' = 91.023° = 91°1'23″ = 1.553 rad
Answer:
A.) 7:3
B.) Approximately 96,772 people
Step-by-step explanation:
The newspaper company sampled 80 of their subscribers.
56 of the 80 would be interested in the new services.
So, 80 - 56 = 24 people would not be interested in the new service.
The ratio of those interested in the new service to those who are not interested is:
56 : 24 simplified becomes 7 : 3 (We divide 56 and 24 by a common divisor = 8)
If the total number of subscribers for the newspaper is 138,346
The number of subscribers who would be interested in the new service would be:
× 138,246 = 96,772.2 people
Because there are no 0.2 people, we remove the decimal point of the answer and hence;
Approximately 96,772 people would be interested in the new service.
He can make 15 chess boards.
All you need to do is multiply 3 by 5.