Answer:
Kindly check explanation
Step-by-step explanation:
Given the data showing the relationship between GPA and hours of study :
From the regression model given :
Regression equation is:
y = 0.141x + 1.096
Also, the regression Coefficient, R = 0.957
a) Describe how the line of best fit and the correlation coefficient can be used to determine the correlation between the two variables on your graph.
From the regression equation, we can infer if the relationship or correlation between the two variables is positive or negative from the value of the slope, a positive slope Value means a positive relationship while a negative slope value means a negative relationship.
The Correlation Coefficient, R also gives the strength of relationship, with values close to - 1 or 1 depicting a strong relationship while positive and negative R values also depictava positive or negative relationship.
Here there is a strong positive relationship between GPA and Hours.
Correlation does not imply causation. Correlation only shows the type of relationship between variables and it does not mean that high GPA values are causes by long hours of study and vice versa.
Answer:
y=4x + 7
Step-by-step explanation:
Line=y=ax+b
b = where the line crosses the y-axis (where x=0). Here, it's 7.
a= vertical distance ÷ horizontal distance.
You can take any pair of distances to a point on the line, for example (4,1) is easy to read in the graph.
x=0 to 1 (horizontal distance=1-0=1)
and
y= 0 to 4 (vertical distance= 4-0=4)
a=4÷1=4.
So, the answer is y=4x + 7 as a= 4 and b=7.
Answer:
60
Step-by-step explanation:
We are given the triangles are congruent, that means the angles are the same measurement
<A = <X
<B = <Y
<C = <Z
We know A = 50 so X = 50
We know <Y = 70 so < B = 70
The three angles of a triangle add to 180
<A + <B + <C = 180
Substituting into the equation
50 + 70 + <C = 180
Combining like terms
120 + <C =180
Subtracting 120 from each side
120-120 +<C =180-120
<C = 60
Y^1=-1,y^2=2 ^=square root