12. a professor obtains sat scores and freshman grade point averages (gpas) for a group of n = 15 college students. the sat scores have a mean of m = 580 with ss = 22,400, and the gpas have a mean of 3.10 with ss = 1.26, and sp = 84. a. find the regression equation for predicting gpa from sat scores. b. what percentage of the variance in gpas is accounted for by the regression equation? (compute the correlation, r, then find r2.) c. does the regression equation account for a significant portion of the variance in gpa? use α = .05 to evaluate the f-ratio. gravetter, frederick j. statistics for the behavioral sciences (p. 556). cengage learning. kindle edition.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

13cm

step-by-step explanation:

(apex)

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this

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