12.We have developed a regression equation to predict son’s height from father’s height: Y = 19.4 + .737x a. What is the intercept? b. What is the slope? c. What is the predicted son’s height when the father’s height is 70.8 inches?

(a)  19.4

(b) 0.737

(c) 71.6 inches

Step-by-step explanation:

This is a linear regression as it follows the general equation of a line given by;

y = mx + c         (i)

Where;

y = value of a given point on the line along the y-axis

x = value of a given point on the line along the x-axis

m = gradient/slope of the line

c = y-intercept of the line.

Now, the given regression equation to predict son's height from father's height is;

y = 19.4 + 0.737x             (ii)

Equation (ii) can be re-written as;

y = 0.737x + 19.4          (iii)

Where;

x = father's height

y = predicted son's height

Now, comparing equations(i) and (iii) shows that;

m = slope = 0.737

c = intercept = 19.4

(i) The intercept of the regression equation is thus 19.4

(ii) The slope of the equation is 0.737

(iii) The predicted son's height when the father's height is 70.8 inches can be calculated by  substituting x = 70.8 into equation (iii) as follows;

y = 0.737(70.8) + 19.4

y = 71.6inches

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

see below

step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.