f. The equation of the linear regression line is: x (Please show your answers to two decimal places) g. Use the model to predict the amount of money spent by a customer who spends 10 minutes at the store. Dollars spent = |(Please round your answer to the nearest whole number.)
Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
Please answer D, F, & G.
![f. The equation of the linear regression line is:
ŷ =
x (Please show your answers to two decimal places)
+
g. Use the model to predict the amount of money spent by a customer who spends 10 minutes at the
store.
Dollars spent =
(Please round your answer to the nearest whole number.)
h. Interpret the slope of the regression line in the context of the question:
O For every additional minute customers spend at the store, they tend to spend on averge $2.75
more money at the store.
As x goes up, y goes up.
The slope has no practical meaning since you cannot predict what any individual customer will
spend.
i. Interpret the y-intercept in the context of the question:
The y-intercept has no practical meaning for this study.
If a customer spends no time at the store, then that customer will spend $22.66.
The best prediction for a customer who doesn't spend any time at the store is that the
customer will spend $22.66.
The average amount of money spent is predicted to be $22.66.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0017d92f-fd5a-4a34-8e16-36b3a20e3d6d%2F6ea84690-169f-4f02-91eb-c787ecba6fa3%2Fbvtziqj_processed.png&w=3840&q=75)
![A grocery store manager did a study to look at the relationship between the amount of time (in minutes)
customers spend in the store and the amount of money (in dollars) they spend. The results of the survey
are shown below.
Time
19
20
18
13
24
22
14
Money
77
66
73
65
87
93
55
a. Find the correlation coefficient: r =
0.83
o Round to 2 decimal places.
b. The null and alternative hypotheses for correlation are:
Ho:
= 0
H1:
The p-value is:
.0203
o (Round to four decimal places)
c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context
of the study.
O There is statistically insignificant evidence to conclude that a customer who spends more time
at the store will spend more money than a customer who spends less time at the store.
There is statistically significant evidence to conclude that there is a correlation between the
amount of time customers spend at the store and the amount of money that they spend at the
store. Thus, the regression line is useful.
O There is statistically significant evidence to conclude that a customer who spends more time at
the store will spend more money than a customer who spends less time at the store.
There is statistically insignificant evidence to conclude that there is a correlation between the
amount of time customers spend at the store and the amount of money that they spend at the
store. Thus, the use of the regression line is not appropriate.
d. r2
(Round to two decimal places)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0017d92f-fd5a-4a34-8e16-36b3a20e3d6d%2F6ea84690-169f-4f02-91eb-c787ecba6fa3%2Fa1r5w7_processed.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Step by step
Solved in 4 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)