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WorksheetsScatterplots & Linear Regression
Total questions: 16
Worksheet time: 1hrs 4mins
Name
Class
Date
1.
What is the correlation between length of running start and distance of jump?
a)
positive: the further you run the further you jump
b)
negative: the less you run the less distance of your jump
c)
positive: the further your running start the less your distance
2.
Make a prediction for a resting heart rate after 6 hours of exercise a week.
a)
6
b)
50
c)
55
d)
59
3.
Which scatter plot shows no relationship?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
4.
The linear regression equation for the data is y = 1.5x + 12. Interpret the slope of the equation.
a)
The slope is (0, 1.5). It means that a pizza with 0 toppings will cost $1.50.
b)
The slope is 1.5. It means that it costs $1.50 per topping.
c)
There are 1.5 toppings.
d)
There are 1.5 pizzas.
5.
Data was collected on the weight of a male laboratory rat for the first 25 weeks after its birth. The linear regression equation is
y= 40x+100, where x is number of weeks and y is weight in grams.
What does the y-intercept mean in context of the problem?
y= 40x+100, where x is number of weeks and y is weight in grams.
What does the y-intercept mean in context of the problem?
a)
The predicted weight of the rat in year 0.
b)
The predicted weight of the rat at birth.
c)
The current weight of the rat.
d)
The average increase in the rat's weight.
6.
About how many male math teachers were there in 2006?
a)
15
b)
30
c)
35
d)
45
7.
Which of the following could be a possible line of best fit for the data?
a)
y = -5/2x + 20
b)
y = -x + 19
c)
y = x + 20
d)
y = 2/3x + 15
8.
The table shown is comparing a person's foot length to their height in cm. What might the height of a person be with a foot length of 30 cm?
a)
185 cm
b)
180 cm
c)
190 cm
d)
192 cm
9.
The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit.
a)
f(x) = 25.05x + 5.57
b)
f(x) = 5.57x + 25.05
c)
f(x) = -5.57x + 25.05
d)
f(x) = 5.57x - 25.05
10.
What is the line of best fit?
a)
f(x)= 5x+1.82
b)
cannot be determined
c)
f(x)= 1.82x + 5.02
d)
f(x)= 1.1x + 4.2
11.
Using your linear regression, what is y when x is 30?
a)
61.59
b)
52.46
c)
57.94
d)
59.76
12.
The linear regression equation is y = 61.93x - 1.79. Use the equation to predict how far this person will travel after 10 hours of driving.
a)
10 miles
b)
617.5 miles
c)
0.19 miles
d)
500 miles
13.
The linear regression equation is y = 61.93x - 1.79. According to the model, the slope can be interpreted as:
a)
After 0 hours of driving, they went 61.93 miles.
b)
They drove at a speed of 61.93 miles per hour.
c)
They drove 61.93 miles total.
d)
They drove 61.93 hours total.
14.
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.
a)
12 chapters
b)
15 chapters
c)
18 chapters
d)
21 chapters
15.
If Gold's Gym is looking to buy 30 TVs, how much will each one cost?
a)
400
b)
750
c)
1250
d)
0
16.
The chart below tracts starting salaries for health care workers since the year 2000. Using linear regression, find the equation of best fit. Round decimals to 3 places.
a)
y = 839.721x + 27541.812
b)
y = 27541.812x - 839.721
c)
y = 27541.812x + 839.721
d)
y = 839.721x - 27541.812
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