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Correlation and Simple Linear Regression

Total soal: 15

Worksheet time: 1hrs 25mins

Nama
Kelas
Tanggal
1.

If x is temperature and y is coffee sales, use the following formula to determine the coffee sales on a 34° day.

y = -60x+6443

a)

$4584

b)

$4673

c)

$8303

2.
Describe the correlation in the graph shown.
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
Weak Positive
3.

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

a)

y = 1.5x + 12

b)

y = 12x + 1.5

c)

y = 0.67x - 8

d)

y = -8x + 0.67

4.
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
5.
What is a best-fit line used for?
a)
To make predictions
b)
To make the graph look pretty
c)
To connect the points
d)
To make it look like you know what you are doing
6.

Find the equation of the line of best fit for the given data

a)

y = 163.41x+1.49

b)

y =- 163.41x+ 4.19

c)

y =- 4.19x+163.41

d)

y = 4.19x -163.41

7.

Write the linear regression equation for the following data points. Round to the nearest tenth.

a)

y=0.27x+3.93y=-0.27x+3.93

b)

y=3.93x+0.27y=3.93x+-0.27

c)

y=1.25x+3.75y=1.25x+3.75

d)

y=0.27x+3.94y=0.27x+3.94

8.

Which scatter plot diagram shows the strongest positive correlation?

a)
b)
c)
d)
9.
A restaurant sells pizza for the prices in the data table.  Calculate the linear regression equation of the data.
a)
y = 1.5x + 12
b)
y = 12x + 1.5
c)
y = 0.67x - 8
d)
y = -8x + 0.67
10.

The annual profits for a company are given in the following table, where x represents the number of years since 1992, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, estimate the year in which the profits would reach 378 thousand dollars.

a)

2029

b)

2014

c)

2003

d)

8753

11.

A study showed a positive relationship to the sound level of listening to music and hearing loss. Is this association or causation?

a)

Association

b)

Causation

c)

Neither

12.

A study showed a positive relationship between students owning a cell phone and driving a car to school. Is this association or causation?

a)

Association

b)

Causation

c)

Neither

13.
a)
Positive, strong
b)
Positive, weak
c)
Negative, strong
d)
Negative, weak
14.
Rank these scatter plots according to the intensity of the correlation represented, from weakest to strongest.
a)
1, 2, 3, 4
b)
2, 4, 3, 1
c)
4, 3, 2, 1
d)
1, 3, 4, 2
15.
What kind of correlation?
a)
Positive
b)
Negative
c)
No