since i cannot access JASP program and most of the students. we would have to use the alternate rout by using this. PDF:https://drive.google.com/file/d/1bjBXU3TBFtz2iT6rTZnXlljxO0cKjB3H/view?usp=share_link

Google Doc

Leonardo da Vinci was a scientist and artist who combined these skills to draft extensive instructions for other

artists on how to proportion the human body in painting and sculpture. One of Leonardo's rules was that the

height be equal to the span of the outstretched arms (another way to say it is that height = 1 x armspan). You

may have seen this sketch by da Vinci:

The following are some measurements from a sample of students who wanted to explore this idea that height

equals armspan (downloadA&R 2: daVincidata). This data set includes the variables listed below. Follow the

directions below to explore this data set.

URL for da Vinci dataset:

https://docs.google.com/spreadsheets/d/1bpDNQRIv8uKE1BIduBjpYoGayF9Eah4yXe7bxJE6Otc/edit?usp=sharing

Variable Description:

height_cm:the student's height (in cm)

armspan_cm:the student's arm span (in cm)

kneelingheight_cm:the student's height when kneeling (in cm)

handlength_cm:the student's hand length (in cm)

hours_studied:number of hours the student studied

exam_score:the student's exam score (out of 100)

height_mediansplit:median split of height_cm (short, tall)

attendance:whether the student had perfect attendance (perfect, not perfect)

Since not everyone can access JASP, an output file with multiple analyses is provided below.Please note

that you will have to choose which analyses and outputs are relevant to the outlined analysis.

PDF:https://drive.google.com/file/d/1bjBXU3TBFtz2iT6rTZnXlljxO0cKjB3H/view?usp=share_link

Google Doc

Analysis

1.Please start your analysis by indicating whether each variable listed is measured as Quantitative (Q) or

Categorical (C).

A. height_cm:

B. armspan_cm:

C. kneelingheight_cm:

D. handlength_cm:

E. hours_studied:

F. exam_score:

G. height_mediansplit:

H. attendance:

2.Continue your analysis by answering the following questions using short responses: (2 points)

A. What do the cases in the data represent?

B. How many cases are there?

3.Let's explore the variable height_cm(the height of the students in cm) from this data, and summarize the

shape, center, and spread of the distribution by answering the following:

A. What is the approximate shape of the distribution?

B. What is the mean of the distribution?

C. What is the standard deviation of the distribution?

D. Put the simple modelinto "modelese" / model notation:

E. On the graph above, sketch the shape of the distribution and indicate the mean with a vertical line and

standard deviation with a horizontal line.

F. What does the standard deviation of this distribution tell us? Please interpret this number.

G. Is this simple model representing the sample of students or a greater population?

H. Although this is a skewed distribution, why is the mean still generally a better model than the median?

4.Now let's try to explain the variability seen in heights by including armspan in our model. We will call this

the armspan model.

A. What is the outcome or dependent variable?

B. What is the explanatory or independent variable?

C. Shape:Which of the scatterplots shown below correctly shows our model explaining height?

5. Center

a. Regression:What is the regression equation that represents the line in our model?

Make sure you plug the relevant values into the standard linear regression equation: y=0 + 1

b. Interpret:What does, the constant, represent or tell us about our research scenario?0

c. Interpret:What does, the slope, represent or tell us about our research scenario?1

d. Predict:Based on the model, what is the predicted height for a person with an armspan of 120 cm?

6. Spread/Strength

a. Correlation:What is the correlation coefficient (r) for the model?

b. What is the strength of the relationship using Cohen's interpretation of effect size (none, weak, medium,

or strong)?

c. What is the direction of the relationship (positive or negative)?

d. Interpret:What does thevalue tell us about our model?2

Results

As a reminder: A sample of students wanted to explore Leonardo da Vinci's claim that height equals armspan

by measuring themselves.