asked 2021-03-02

1) In what way is the point unusual? Does it have high leverage, a large residual, or both?

2) Do you think that point is an influential point?

3) If that point were removed, would the correlation be- come stronger or weaker? Explain.

4) If that point were removed, would the slope of the re- gression line increase or decrease? Explain

asked 2020-11-22

Answer true or false to each of the following statements and explain your answers.

a. In using the method of transformations, we should only transform the predictor variable to straighten a scatterplot.

b. In using the method of transformations, a transformation of the predictor variable will change the conditional distribution of the response variable.

c. It is not always possible to fnd a power transformation of the response variable or the predictor variable (or both) that will straighten the scatterplot.

a. In using the method of transformations, we should only transform the predictor variable to straighten a scatterplot.

b. In using the method of transformations, a transformation of the predictor variable will change the conditional distribution of the response variable.

c. It is not always possible to fnd a power transformation of the response variable or the predictor variable (or both) that will straighten the scatterplot.

asked 2020-12-01

The images of the following points under under a \(90^\circ\) rotation counterclockwise about the origin:

I. \((2,\ 3)\)

II. \((-1,\ 2)\)

III, (m,n) interms of m and n

b)To show:

That under a half-turn with the origin as center, the image of a point \((a,\ b)\ \text{has coordinates}\ (-a,\ -b).\)

c) To find:

The image of \(P (a,\ b)\text{under the rotation clockwise by} 90^{\circ}\) about the origin.

asked 2021-01-23

Sketch the graph of the function \(f(x) = -2^x+1 +3\) using transformations. Do not create a table of values and plot points

asked 2021-01-15

Create a new function in the form \(y = a(x-h)^2 + k\) by performing the following transformations on \(f (x) = x^2\).

Give the coordinates of the vertex for the new parabola.

g(x) is f (x) shifted right 7 units, stretched by a factor of 9, and then shifted down by 3 units. g(x) = ?

Coordinates of the vertex for the new parabola are:

x=?

y=?

Give the coordinates of the vertex for the new parabola.

g(x) is f (x) shifted right 7 units, stretched by a factor of 9, and then shifted down by 3 units. g(x) = ?

Coordinates of the vertex for the new parabola are:

x=?

y=?

asked 2020-11-27

Starting with the function \(f(x) = e^x\), create a new function by performing the following transformations.

i. First shift the graph of f (x) to the left by two units.

\(f_1 (x) =\)?

ii. Then compress your result by a factor of \(1/7\)

\(f_2 (x) =\) ?

iii. Next, reflect it across the x-axis.

\(f_3 (x) =\) ?

iv. And finally shift it up by eight units to create g (x).

g (x) =?

i. First shift the graph of f (x) to the left by two units.

\(f_1 (x) =\)?

ii. Then compress your result by a factor of \(1/7\)

\(f_2 (x) =\) ?

iii. Next, reflect it across the x-axis.

\(f_3 (x) =\) ?

iv. And finally shift it up by eight units to create g (x).

g (x) =?