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Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A hamster
... [Show More] weighs half a pound and costs $2 per week to feed, while a Labrador Retriever weighs 62.5 pounds and costs $10 per week to feed.
Using weight as the explanatory variable, what is the slope of a line between these two points? Answer choices are rounded to the nearest hundredth.
$4.00 / lb.
$6.25 / lb.
$0.13 / lb.
$7.75 / lb.
Brad reads a scatterplot that displays the relationship between the number of cars owned per household and the average number of citizens who have health insurance in neighborhoods across the country. The plot shows a strong positive correlation.
Brad recalls that correlation does not imply causation. In this example, Brad sees that increasing the number of cars per household would not cause members of his community to purchase health insurance.
Identify the lurking variable that is causing an increase in both the number of cars owned and the average number of citizens with health insurance.
The number of different car brands
The number of citizens in the United States who do not have health insurance
Average health insurance costs in the United States
Average annual salary per household
Two bags each contain tickets numbered 1 to 10. John draws a ticket from each bag five times, replacing the tickets after each draw. He records the number on the ticket for each draw from both the bags:
Bag 1 Bag 2
Draw 1 2 4
Draw 2 4 5
Draw 3 1 3
Draw 4 6 4
Draw 5 7 9
For the the first bag, the mean is 4 and the standard deviation is 2.5. For the second bag, the mean is 5 and the standard deviation is 2.3.
Using the formula below or Excel, find the correlation coefficient, r, for this set of tickets John drew. Answer choices are rounded to the nearest hundredth.
0.75
0.70
0.50
0.56
Shawna finds a study of American women that has an equation to predict weight (in pounds) from height (in inches): ŷ = -260 + 6.6x. Shawna's mom’s height is 68 inches and her weight is 179 pounds.
What is the residual of weight and height for Shawna's mom?
9.8 pounds
-9.8 pounds
188.8 pounds
921.4 pounds
Data for price and thickness of soap is entered into a statistics software package and results in a regression equation of ŷ = 0.4 + 0.2x.
What is the correct interpretation of the slope if the price is the response variable and the thickness is an explanatory variable?
The price of the soap increases by $0.40, on average, when the thickness increases by 1 cm.
The price of the soap increases by $0.20, on average, when the thickness increases by 1 cm.
The price of the soap decreases by $0.20, on average, when the thickness increases by 1 cm.
The price of the soap decreases by $0.40, on average, when the thickness increases by 1 cm.
Which of the following scatterplots shows an outlier in the y-direction?
Thomas was interested in learning more about the salary of a teacher. He believed as a teacher increases in age, the annual earnings also increases. The age (in years) is plotted against the earnings (in dollars) as shown below.
Using the best-fit line, approximately how much money would a 45-year-old teacher make?
$50,000
$55,000
$58,000
$48,000
A bank manager declares, with help of a scatterplot, that the number of health insurances sold may have some association with the number of inches it snows.
How many policies were sold when it snowed 2 to 4 inches?
210
350
240
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