Answer: ŷ = 0.07X + 5.2
Step-by-step explanation:
Given the following :
Number of citations 5 - 7.5 - 10 - 15 - 20
Outputs Residuals 3 - - 6 - - 10 - 5 - - 6
Using the online regression calculator :
Line of best fit is represented by the equation:
ŷ = 0.06897X + 5.2069
ŷ = 0.07X + 5.2
From the line equation:
y = mx + c
With 0.07 = slope of gradient(m)
Intercept (c) = 5.2 (point where the line of best fit intersect the y_axis
x and y are values of x and y respectively
11. The given parabola has equation:
We complete the square to have the function in the vertex form:
The vertex is (-3,-8), the graph opens down because a=-3<0
Ans: B. Vertex: (−3, −8), opens downward
12. We know the graph of is a parabola that opens up and has its minimum point at the origin.
The range of this function is
A straight line that has its y-intercept below the x-axis (y=3x-6) will not intersect and hence will form a system with no solution.
Ans: D. y equals x squared, y equals 3x minus 6
14. We want to find the zeros of
The factored form is
Ans: C. x = −7, −9
15. The given quadratic expression is
We split the middle term to obtain:
We factor by grouping to get:
Ans: D. 6x − 5
