Question 5(1 point)

A golfer records the distances (in yards) for a sample of 24 of his tee shots.The distances are ordered and are shown below:

176184187190197214216216219220222223

223224225227227228230236243251253258

The five-number summary of distances is:176215223229258

If we created a modified (outlier) boxplot for this data set, the lines coming out of the box (i.e., the whiskers) would extend to which values?

Question 5 options:

194 and 250

176 and 258

202 and 244

190 and 251

197 and 243

Question 6(1 point)

The number of text messages sent by a random sample of students at a local university was collected and the following histogram was created:

Which of the following statements is likely true:

Question 6 options:

The distribution of number of text messages sent is skewed to the left, so the mean is likely less than the median.

The distribution of number of text messages sent is skewed to the right, so the mean is likely greater than the median.

The distribution of number of text messages sent is approximately symmetric, so the mean is approximately the same as the median.

The distribution of number of text messages sent is skewed to the left, so the mean is likely greater than the median.

The distribution of number of text messages sent is skewed to the right, so the mean is likely less than the median.

Question 7(1 point)

An undergraduate student in the Department of Statistics took a random sample of 30 textbooks from the campus bookstore in the fall of 2019. They recorded the price (in dollars) and the number of pages in each book to determine whether the number of pages in a textbook can be used to predict the price.The least squares regression line is found to bey

=23+0.03x

{"version":"1.1","math":"\hat{y}=23+0.03x"}.

It is also reported that approximately 61% of the variation in the price of the books can be explained by the number of pages.What is the value of the correlation between price and number of pages?

Question 7 options:

0.03

0.61

0.23

0.37

0.78

Question 8(1 point)

We record the heightsX(in cm) and weightsY(in kg) on a sample of individuals. We calculate the correlation betweenXandYto ber= 0.56.

Now suppose we had instead measured height in inches (1 inch = 2.54 cm) and weight in pounds (1 pound = 0.454 kg).Suppose also we reversed the roleofXandY, i.e. define weight asXand height asY.The correlation betweenXandYwould now be:

Question 8 options:

-0.56

0.65

-0.44

0.44

0.56

Question 9(1 point)

Ashley has been having difficulty sleeping and has been trying to take different amount of melatonin (X) to test its effect on the amount of time it takes for her to fall asleep (Y). The following is a table of her results and the least-squares regression line:

Melatonin dosage (in mg)1133551010Minutes to fall asleep201718141512109y

=19.0590.986x

{"version":"1.1","math":"\hat{y} = 19.059 - 0.986x"}

What is the residual for the day she took 5 mg of melatonin and fell asleep in 12 minutes?

Question 9 options:

-2.227

-2.129

14.129

-14.129

-8.989