Below is a contingency table of results from data sampled from students at Iowa State University between Spring 2004 and Spring 2007 (real data). The students were asked to give their gender and their eye color.   Blue Brown Green Hazel Total Female 370 352 198 187 1107 Male 359 290 110 160 919 Total 729 642 308 347 2026   Based on this data, what is the conditional probability of male student having blue eyes?

Describe the following scatterplot using all four characteristics.  

A least squares regression equation was calculated to predict the college gpa based on high school gpa. The least squares regression equation was yhat = 0.71x + 1.02.  Interpret the slope, if applicable.

A least squares regression equation was computed to predict the weight (lbs) of a 3 year old toddler based on the toddler’s height (in). The equation was yhat = 5.63 + 0.618x.  (The data set included toddlers between roughly 24 and 48 inches.)  Find the predicted weight of a toddler that was 29 inches tall.

Below is a boxplot of bear shoulder heights for black bears from Appalachian mountains grouped by gender. Answer the following question about the plot.   Which of the following statements is NOT correct?

In the Spring of 2017, a sample of 102 homes for sale in Gainesville was collected. The sale price and square footage of the homes were recorded.  The least squares regression equation was price = -58857+162.9*foot  For one house, the square footage was 952 and the price was 149900 dollars. Find the residual. 

For restaurants in Gainesville, the cost of a dinner has a mean of $50. The values go from 7 to 95 dollars. Assume that the data is normally distributed. Which of the following is a plausible value for the standard deviation?

In the summer of 2011, the Chicago libraries recorded the number of participants per branch of the library versus the number of books read from that branch.  They wanted to predict the number of books read at each branch based on the number of participants in the summer program.  The least squares regression equation was  books read = -657.0 +24.74 participants For one branch of the library the number of participants was 797. The number of books read was 9733.  Find the residual. 

The below stem and leaf plot states the length of eruptions (mins) for Old Faithful for a sample of 272 eruptions.    What is the minimum eruption length?

The monthly electric bills for a local business had a mean of 1535 dollars. The values go from 1430 to 1630 dollars. Assume that the data is normally distributed.  Which of the following is a plausible value for the standard deviation?