Exploring Dependent Variables and Regression Slopes
Authored by Anthony Clark
English, Mathematics
9th Grade
CCSS covered
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A car rental company charges a base fee of $20 plus $0.15 per mile driven. If the total cost for a customer is $50, what is the dependent variable in this scenario?
base fee
miles driven
rental duration
total cost
Tags
CCSS.6.EE.C.9
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a study of plant growth, researchers found that for every additional hour of sunlight, the height of the plants increased by 2 cm. If the slope of the regression line is 2, what does this slope represent?
The slope represents the total height of the plants after a certain period.
The slope represents the increase in plant height (2 cm) for each additional hour of sunlight.
The slope indicates the amount of water needed for plant growth.
The slope shows the average temperature increase for each hour of sunlight.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A school is analyzing the relationship between study hours and test scores. If the regression equation is y = 5x + 60, what does the y-intercept represent in this context?
The y-intercept represents the maximum possible test score a student can achieve.
The y-intercept indicates the number of study hours needed to achieve a passing score.
The y-intercept represents the predicted test score for a student who studies 0 hours, which is 60.
The y-intercept shows the average test score of all students regardless of study hours.
Tags
CCSS.HSF.LE.B.5
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A fitness tracker shows that for every 100 calories burned, a person runs an average of 1 mile. If the regression equation is y = 1x + 0, what is the slope and what does it indicate?
The slope is 1, indicating that for every 100 calories burned, 0.5 miles are run.
The slope is 0, indicating no calories are burned per mile.
The slope is 2, indicating that for every mile run, 200 calories are burned.
The slope is 1, indicating that for every mile run, 100 calories are burned.
Tags
CCSS.HSF.LE.B.5
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A local bakery found that for every additional cupcake sold, their profit increases by $1. If the regression line is represented by the equation y = 1x + 50, what is the dependent variable?
number of cupcakes sold
profit
total sales revenue
cost of ingredients
Tags
CCSS.8.EE.C.8C
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a survey, it was found that the average number of hours students sleep affects their grades. If the regression equation is y = -3x + 90, what does the slope tell us about the relationship between sleep and grades?
The slope of -3 indicates that more sleep is associated with lower grades.
The slope of -3 suggests that sleep has no impact on grades.
The slope of -3 shows that less sleep leads to better grades.
The slope of -3 indicates that more sleep is associated with higher grades.
Tags
CCSS.HSF.LE.B.5
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A researcher is studying the effect of temperature on ice cream sales. If the regression equation is y = 10x + 200, what does the y-intercept represent in this scenario?
The y-intercept represents the average temperature at which ice cream is sold.
The y-intercept represents the baseline ice cream sales when the temperature is 0 degrees.
The y-intercept shows the increase in sales for every degree above freezing.
The y-intercept indicates the maximum ice cream sales at high temperatures.
Tags
CCSS.HSF.LE.B.5
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