Find the equation of the plane that contains both the line with the equation x = 3 + 2t,y = t , z 8-t, and the line with the equation x = 5 + t,y = 4-t,z = 6
Find the equation of the plane that contains both the line with the equation x = 3 + 2t,y = t , z 8-t, and the line with the equation x = 5 + t,y = 4-t,z = 6
1.For the data given, find the equation of the best-fitting line. x 3 4 6 8 10 y 5 5 7 5 9 2.For the data given, approximate the equation of the best-fitting line. x 2 3 7 8 10 y 4 5 4 7 6
(4) 6. Find all values of t for which the linear system in the variables z and y has a solution. Find any solution(s).
9+ 5 8 7 4 h(x) 6 3 y-values 5+ y-values 4 N 8(x) 3 2 1 3 2 X-values Ou 2 3 x-values If f(x) g() then h(x)' f'(4) = -13/2 Preview Get help: Video
Given are five observations for two variables, x and
y.
xi
3
12
6
20
14
yi
50
45
55
15
15
(d) Develop the estimated regression equation by computing the
values of b0 and b1 using b1 =
Σ(xi − x)(yi − y)
Σ(xi − x)2
and b0 = y − b1x.
ŷ =
(e) Use the estimated regression equation to predict the value
of y when x = 9.
Observation 1 2 3 4 5 6 7 8...
Find solutions to the equation 2x + 3y = 6 for the values x = 0, y = 0, and x = -3. Provide your answer below: (0:0),O,0),(-3,0) I
3. Suppose X, Y are discrete random variables taking values in {-1,0,1) and their joint probability mass function is 0 X=1 where a, b are two positive real numbers. (i) Find the values of a and b such that X and Y are uncorrelated. (ii) Show that X and Y cannot be independent 0
3. Suppose X, Y are discrete random variables taking values in -1,0,1) and their joint probability mass function is 0 0 0 where a, b are two positive real numbers. (i) Find the values of a and b such that X and Y are uncorrelated (ii) Show that X and Y cannot be independent
Consider a data set consisting of values for three variables: x, y, and z. Three observations are made on each of the three variables. The following table shows the values of x, y, z, x2, y2, z2, xy, yz, and xz for each observation. Observation x y z x2 y2 z2 xy yz xz 6 6 2 36 36 4 36 12 12 4 3 8 16 9 64 12 24 32 2 6 5 4 36 25 12 30...
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3. The table to the right shows the values of the joint probability distribution of the discrete random variables X and Y Find the cov(X, Y). ơxy- 11-u,' y. 0 0 1/12 1/6 1/24 7/24 1|¼ ¼ 1/40121/4。 2 Y 2 1/8 1/20 7/40 1/120 3 1/120 7/15 7/15 1/15!
3. The table to the right shows the values of the joint probability distribution of the discrete random variables X and Y Find the cov(X, Y). ơxy- 11-u,'...