Question

In: Statistics and Probability

A university wants to know if students who apply to be nursing majors and accounting majors...

A university wants to know if students who apply to be nursing majors and accounting majors differ in terms of their ages. If there are differences, that could inform their marketing strategies.

They collect data from a random sample of 50 applicants to the nursing program and 50 application to the accounting program. They record each applicant's age in years.

In this scenario, academic major is a                            [ Select ]                       ["categorical", "quantitative"]         variable.

Age in years is a                            [ Select ]                       ["categorical", "quantitative"]         variable.

If we wanted to display these data in a graph to compare the ages of nursing and accounting majors, we could construct                            [ Select ]                       ["a bar chart", "a scatterplot", "side-by-side boxplots"]         .

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Question 31 pts

Research question: Does drinking coffee in the afternoon cause headaches?

In this study, the explanatory variable is                            [ Select ]                       ["coffee consumption", "headaches"]         and the response variable is                            [ Select ]                       ["coffee consumption", "headaches"]         .

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Question 41.5 pts

A dataset consists of the following quiz scores: 0, 8, 13, 13, 14, 14, 14, 15, 15, 15, 15, 15.

Minitab Express was used to compute the following descriptive statistics:

Statistics
Variable Minimum Q1 Median Q3 Maximum IQR
Score 0 13 14 15 15 2

Given the data and descriptive statistics above, use the IQR method to identify all of the scores that are outliers.

Group of answer choices

0

8

13

14

15

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Question 51 pts

Which of the following best describes the relationship between X and Y in the scatterplot above?

Group of answer choices

Strong positive linear relationship

Strong negative linear relationship

No linear relationship

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Question 61 pts

Is the following true or false?

r x y = r y x

Where r x y is the correlation between x and y and r y x is the correlation between y and x.

Group of answer choices

True

False

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Question 71 pts

In the simple linear regression equation y ^ = a + b x, what does the term a represent?

Group of answer choices

Explanatory variable

Response variable

Slope

Y intercept

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Question 81 pts

y ^ = 5 + 4 x

Given x = 3, compute y ^.

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Question 91 pts

A high school guidance counselor used simple linear regression methods to predict his students' SAT-Math scores using their PSAT-Math scores. Using this model, Levi's predicted SAT-Math score was 480. Levi's actual SAT-Math score was 520.

Compute the residual for Levi's SAT-Math score.

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Question 101 pts

The bubble plot above was constructed using the AllCountries dataset from the Lock5 textbook. Each bubble represents a country. The size of each bubble represents the per-capita gross domestic product (GDP). Life expectancy (in years) is on the horizontal axis and electricity use is on the vertical axis.

Is there a relationship between life expectancy and GDP?

Group of answer choices

Yes

No

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Question 111 pts

The scatterplot with groups above displays data from the Cereal dataset from the Lock5 textbook. The amount of sugar in a serving is on the horizontal axis. The number of calories in a serving is on the vertical axis. The color and shape of each point represents the company.

Is there a relationship between the amount of sugar in a serving and the number of calories in a serving?

Group of answer choices

Yes, there is a relationship between sugars and calories

No, there is not a relationship between sugars and calories

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Question 121 pts

An instructor is teaching three sections of the same course: one in the morning, one in the afternoon, and one in the evening. Given the side-by-side boxplots above, which of his three sections had the highest median test score?

Group of answer choices

Morning

Afternoon

Evening

All three had the same median

Solutions

Expert Solution

1.academic major is a categorical variable.

2.Age in years is a quantitative variable.

3.If we wanted to display these data in a graph to compare the ages of nursing and accounting majors, we could construct  side-by-side boxplots.

QUESTION 31:

Does drinking coffee in the afternoon cause headaches?

1. the explanatory variable is coffee consumption and the response variable is headaches.

QUESTION 41.5

A dataset consists of the following quiz scores: 0, 8, 13, 13, 14, 14, 14, 15, 15, 15, 15, 15.

Minitab Express was used to compute the following descriptive statistics:

Statistics
Variable Minimum Q1 Median Q3 Maximum IQR
Score 0 13 14 15 15 2

1. Given the data and descriptive statistics above, the IQR method to identify all of the scores that are outliers are:

0 and 8

(We add 1.5*IQR to the #rd quartile any number greater than this is a suspected outlier again, subtract 1.5*IQR from the first quartile. Any number less than it is a suspected outlier.

Here, since, 1.5*2=3

Q1-1.5*IQR=13-3=10 so any number less than 10 is a suspected outlier i.e.8 and 0 )

Question 51:

No scatter plot provided

Question 61:

Is the following true or false?

r x y = r y x

The following is true.

Question 71

In the simple linear regression equation y ^ = a + b x, what does the term a represents the Y intercept.

Question 81

y ^ = 5 + 4 x

Given x = 3,

here y^=5+4*3 ( putting x=3)

y^=17

Question 91

A high school guidance counselor used simple linear regression methods to predict his students' SAT-Math scores using their PSAT-Math scores. Using this model, Levi's predicted SAT-Math score was 480. Levi's actual SAT-Math score was 520.

residual for Levi's SAT-Math score=Actual value - predicted value= 520-480=40

Question 101

No bubble plot provided.

Question 111

No scatter plot provided.

Question 121

No box plt provided.


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