Statistics

1. Complete the following in regard to the hair color category of the data set:
a. In the region to the right, make an appropriately labeled frequency table in regard ONLY to the hair color data (for this portion, ignore all other variables in the data set except hair color). Next, extend the frequency table to include a relative frequency column. Finally, create a bar chart graphic from the frequency table.
b. Directly below, create a statement about “hair color” that the information from part a supports or suggests. Remember this statement is only to be made based on the sampled students' data for the online course as shown in your work in part a.
c. Next, create a new statement/claim about “hair color” in regard to all students at FHSU (this claim does not have to match the information in the bar chart). Then briefly discuss whether the chart proves or disproves your statement. Finally, what process would be required to measure statistically whether or not the claim you made is supported/discounted by the sample evidence?
2. Complete the following in regard to the footlength and armspan categories of the data set:
a. In the region to the right, produce a scatterplot of the armspan versus footlength data (remember this means footlength runs along the horizontal axis as the independent variable and armspan along the vertical axis as the dependent variable.) Based upon your scatterplot, briefly discuss below your thoughts on whether the “visual” trend between the individuals’ footlength and armspan appears linear, curvilinear, or has no general trend at all.
b. Complete the following:
i. Include the trend line's graph and equation on the scatterplot created in part a. Give the line's equation below and explain within this context what the "x" and "y" variables represent in the equation.
ii. Below, explicitly state the slope of your trend line and discuss what the value of the slope signifies in terms of this context.
c. Determine the value of the correlation coefficient for this paired data. Explain what this value tells you and determine if it implies that there is/is not statistically significant correlation between the two variables of height and footlength. (Recall the need to use table A:6 from the text in answering the last portion of this question.)
d. Using the predicition equation from part bi. above, predict the armspan of an individual whose footlength is 27 cm.
e. Finally, critique the statement “since the correlation coefficient is statistically significant” then this means that “having a long foot causes one to have a large armspan.” Specifically, address the issue of “causation” in relation to significant statistical correlation.