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Difine "Relation"

Using the health records of ever student at a high school, the school nurse created a scatterplot relating ${\displaystyle y=\text{height (in centimeters) to}x=\text{age (in years).}}$
${\displaystyle \text{After verifying that the conditions for the regression model were met, the nurse calculated the equation of the population regression line to be}{\mu }_0=105+4.2x\text{with}\sigma =7cm.}$ About what percent of 15-year-old students at this school are taller than 180 cm?

A sample is taken (21, 19, 11, 18, 18).
1. How big is the original data set?
2. What percentege of data is 11?

Suppose that when the weather is rainy the probability that Lily goes to her outdoor baseball practice is 0.1, but when it's not raining the probability is 0.9. The probability it will rain tomorrow is 0.3. Determine the probability that She will go to her baseball practice tomorrow.

Two scatterplots are shown below.
Scatterplot 1
A scatterplot has 14 points.
The horizontal axis is labeled "x" and has values from 30 to 110.
The vertical axis is labeled "y" and has values from 30 to 110.
The points are plotted from approximately (55, 60) up and right to approximately (95, 85).
The points are somewhat scattered.
Scatterplot 2
A scatterplot has 10 points.
The horizontal axis is labeled "x" and has values from 30 to 110.
The vertical axis is labeled "y" and has values from 30 to 110.
The points are plotted from approximately (55, 55) steeply up and right to approximately (70, 90), and then steeply down and right to approximately (85, 60).
The points are somewhat scattered.
Explain why it makes sense to use the least-squares line to summarize the relationship between x and y for one of these data sets but not the other.
Scatterplot 1 seems to show a relationship between x and y, while Scatterplot 2 shows a relationship between the two variables. So it makes sense to use the least squares line to summarize the relationship between x and y for the data set in , but not for the data set in .

A survey of 120 students about which sport , baseball , basketball , football ,hockey , or other , they prefer to watch on TV yielded the following two-way frequency table . What is the conditional relative frequency that a student prefers to watch baseball , given that the student is a girl? Round the answer to two decimal places as needed
$\begin{array}{|ccccccc|}\hline & \text{Baseball}& \text{Basketball}& \text{Football}& \text{Hockey}& \text{Other}& \text{Total}\\ \text{Boys}& 18& 14& 20& 6& 2& 60\\ \text{Girls}& 14& 16& 13& 5& 12& 60\\ \text{Total}& 32& 30& 33& 11& 14& 120\\ \hline\end{array}$
a) 11.67%
b) 23.33%
c) 43.75%
d) 53.33%

What is the difference between a between-subjects design and a within-subject design? Which t-test is used for each design? Provide a real- life example of a between-subjects design and a within-subjects design.

Eighty percent of the employees at the General Mills plant on Laskey Road have their bimonthly wages sent directly to their bank electronic funds transfers. This is called direct deposit . Suppose we select a random sample of seven recipients. What is the probability that all seven employees use direct deposit?

A researcher is conducting a study to examine the effects of cognitive behavior therapy for the treatment of social anxiety in a sample of 16 participants. He measures the social anxiety scores of participants before the tratment and then again after treatment and the resulting data is as follows:
$n=16,M_0=5,s=4$
a) What type of design is this study (single-sample, independent measures, repeated measures)
b)State the null and alternate hypotheses
c) Using an ${\displaystyle \alpha levelof.05(\alpha =.05)}$, identify the critical values of t for a 2-tailed test.

What is a frequency distribution of qualitative data and why is it useful?

According to Exercise 16, the probability that a U.S. resident has traveled to Canada is 0.18, to Mexico is 0.09, and to bith countries is 0.04.
Whats

To state:A factor that could affect the value of the response variable that is fixed at a set level.

Which of these shows the strongest correlation?

Examine the two-way frequency table below.
$\begin{array}{|cccc|}\hline & \text{Score: 90-100}& \text{Score: 70-89 }& \text{Score:0-69}\\ \text{Math Test}& 20& 40& 7\\ \text{Science Test}& 15& 35& 5\\ \hline\end{array}$
Which percentage of students took the math test and received a grade of 90 or above?
a)29.85%
b)57.14%
c)28.69%
d)16.39%

A binomial probability is given: P(x <= 64) Find the answer that corresponds to the binomial probability statement. a) P(63.5< x < 64.5) b) P(x > 63.5) c) P(x < 63.5) d) P(x > 64.5) e) P(x < 64.5)

is Bivariate normal distributions an assumption for the Pearson Correlation ?

What mathematician was instrumental in the creation of the normal distribution? What application prompted this person to create the normal distribution?

Basic Computation:$\hat{p}$ Distribution Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.
(c) Suppose $n=48$ and $p=0.15$. Can we approximate the $\hat{p}$ distribution by a normal distribution? Why? What are the values of ${\mu }_{hatp}$ and ${\sigma }_p$.?