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1) State whether or not you suspect that there will be an explanatory-response relationship between each of the following pairs of data. If yes, identify the explanatory and response variables.
a) The number of semesters that students have been enrolled in college and the number of credits that they have earned.
b) Students' grades on a statistics test and their weights.
c) Employees' annual salary and the number of years that they have been employed by the company.
d) The number of songs each person has on his or her IPod and the number of months that they have owned the IPod.
2) A college professor decided to examine whether or not there is a relationship between the amount of time that a student studies and his or her score on the mid-term exam (out of 100 points possible). At the end of the exam each student was asked to record the number of hours he or she had spent studying for the mid-term. The professor then made a scatterplot to examine the data. Describe what the scatterplot shows. Be sure to address strength, context, outliers, form and direction (S.C.O.F.D.).
3) Malia turned the water on in her bathtub full blast. She then measured the depth of the water every two minutes until the bathtub was full (and her mother started to freak out). Her findings are listed in the following table.
a) Identify the explanatory and response variables for this situation.
b) Construct a scatterplot to show the results. Creating a scatterplot in Google Sheets
c) Describe what the scatterplot shows. Be sure to address strength, context, outliers, form and direction (S.C.O.F.D.).
4) Several brands of peanut butter were rated for quality. The following graph compares the price per ounce (in cents) and the quality rating (scale of 0 = lowest to 100 = highest) for each of these brands of peanut butter.
a) Identify the explanatory and response variables for this situation.
b) Describe what the scatterplot shows. Be sure to address strength, context, outliers, form and direction (S.C.O.F.D.).
5) Mr. Exercise wanted to know whether or not customers continued to use their equipment after they purchased it. He contacted an SRS of his customers who had purchased an exercise machine during the past 18 months. His findings are summarized in the following table:
a) Identify the explanatory and response variables for this situation.
b) Construct a scatterplot to show the results.
c) Describe what the scatterplot shows. Be sure to address strength, context, outliers, form and direction (S.C.O.F.D.).
6) The following scatterplot shows the elevation and mean temperature for various locations in Nevada.
a) Identify the explanatory and response variables for this situation.
b) Describe what the scatterplot shows. Be sure to address strength, context, outliers, form and direction (S.C.O.F.D.).
Review Exercises
7) If two cards are drawn from a standard deck of playing cards, and laid face up on a table, what is the probability of getting two Queens?
8) A card is drawn from a standard deck. The card is put back, the deck is reshuffled, and another card is drawn. What is the probability of drawing two clubs?
9) A gum ball machine contains 14 pink gumballs, 7 blue, 9 white, and 11 green gumballs. A child buys two gumballs, one after the other. Find the following probabilities:
a) P(blue, then green)
b) P(neither is pink)
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