Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x overbarequals102.04, y overbarequals101.55, requals0.856, P-valueequals0.000, and ModifyingAbove y with caret equals 25.05 plus 0.75 x, where x represents the IQ score of the younger child. Find the best predicted value of ModifyingAbove y with caret given that the younger child has an IQ of 95? Use a significance level of 0.05.

96.3

Step-by-step explanation:

The equation for predicting variable y is

y=25.05+0.75x.

Here x is the IQ of younger child.

We have to find the predicted value of y given that the younger child's IQ is 95. It can be computed by putting x=95 in the above equation.

So,

y=25.05+0.75*95

y=25.05+71.25

y=96.3

Thus, the best predicted value of y given that the younger child has an IQ of 95 is 96.3.

entering that problem on the tube might get you an answer

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be