Asimple linear regression analysis was conducted to predict the exam 3 score of students in sta 2023 based on their exam 1 score. the analysis yielded the following results:
y-^ = 50.57+0.4845x.
1. which of the following is the best description of the slope of the line?
group of answer choices:
o as the exam1 score increases by 1 point, the student's exam 3 grade will increase, on average, by 0.4845 points.
o as the exam 1 score increases by 1 point, the student's exam 3 grade will increase, on average, by 50.57 points.
o as the exam 3 score increases by 1 point, the student's exam 1 score will increase, on average by 0.4845 points.
o as the exam 3 score increases by 1 point, the student's exam 1 score will increase, on average by 50.57 points.

Option A)  As the Exam 1 score increases by 1 point, the student's Exam 3 grade will increase, on average, by 0.4845 points.

Step-by-step explanation:

We are given the following in the equation:

where, above equation is a  linear regression equation to predict the Exam 3 score of students in STA 2023 based on their Exam 1 score.

Here,

y is the dependent variable that is score of exam 3.

x is the independent variable that is the score of exam 1.

Comparing the given equation to a linear equation, we have,

Slope, m = 0.4845

Intercept, c = 50.57

We define the slope as rate of change.

If there is a increase in x by 1 unit, then,

Thus, we can interpret the slope of the line as

Option A) As the Exam 1 score increases by 1 point, the student's Exam 3 grade will increase, on average, by 0.4845 points.

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi

sas (side angle side)

aa(angle angle)

sss(side side side)

sas you have to find two sides with an angle in between

aa you find two angles because it will always add up to 180

sss find all sides

step-by-step explanation: