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Algebra 1

3.4.6 Practice

Algebra 13.4.6 Practice
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Complete the following questions to practice the skills you have learned in this lesson.

  1. Select three values for r that indicate a positive slope for the line of best fit.
  1. 1
  2. -1
  3. 0.5
  4. -0.5
  5. 0
  6. 0.8
  7. -0.8
  1. Select three values for r that indicate a negative slope for the line of best fit.
  1. 0
  2. 1
  3. -1
  4. -0.87
  5. 0.32
  6. -0.24
  7. 0.24
  1. The correlation coefficient, r , is given for several different linear models. Order the correlation coefficients as follows: start with the r -value indicating the strongest linear relationship and end with the r -value indicating the weakest linear relationship.

0.4, –0.85, 0.72, –0.31

  1. – 0.85 , 0.72 , 0.4 , − 0.31
  2. − 0.31 , 0.4 , 0.72 , – 0.85
  3. – 0.85 , − 0.31 , 0.4 , 0.72
  4. 0.72 , 0.4 , − 0.31 , – 0.85
  1. The correlation coefficient, r , is given for several different linear models. Order the correlation coefficients as follows: start with the r -value indicating the strongest linear relationship and end with the r -value indicating the weakest linear relationship

–0.65, 0.47, –1, 0.89

  1. 0.89 , 0.47 , – 1 , – 0.65
  2. – 1 , – 0.65 , 0.47 , 0.89
  3. 0.47 , − 0.65 , 0.89 , − 1
  4. – 1 , 0.89 , – 0.65 , 0.47

5. Match the following scatter plots to the correct correlation coefficient from the following:

r = 0.67

r = − 0.33

r = 0.88

r = − 0.79


Scatter Plot A
  1. r =0.67
  2. r =-0.33
  3. r =0.88
  4. r =-0.79
Scatter Plot B
  1. r =0.67
  2. r =-0.33
  3. r =0.88
  4. r =-0.79
Scatter Plot C
  1. r =0.67
  2. r =-0.33
  3. r =0.88
  4. r = -0.79
Scatter Plot D
  1. r =0.67
  2. r =-0.33
  3. r =0.88
  4. r = -0.79

6. Match the following scatter plots to the correct correlation coefficient from the following:

r = 0.37

r = 0.83

r = − 0.67

r = − 0.85


Scatter Plot A
  1. r =0.37
  2. r =0.83
  3. r =-0.67
  4. r =-0.85
Scatter Plot B
  1. r =0.37
  2. r =0.83
  3. r =-0.67
  4. r =-0.85
Scatter Plot C
  1. r =0.37
  2. r =0.83
  3. r =-0.67
  4. r =-0.85
Scatter Plot D
  1. r =0.37
  2. r =0.83
  3. r =-0.67
  4. r =-0.85

7. Which of the following correlation coefficients would best describe this scatter plot?

SCATTER PLOT THAT SHOWS THE RELATIONSHIP BETWEEN AGE IN YEARS AND PRICE IN DOLLARS. THE SCATTER PLOT SHOWS A VERY STRONG NEGATIVE CORRELATION.

  1. 0.32
  2. – 0.87
  3. 0.87
  4. – 0.32

8. Which of the following correlation coefficients would best describe this scatter plot?

SCATTER PLOT THAT SHOWS THE RELATIONSHIP BETWEEN BODY MASS IN POUNDS AND BITE FORCE IN POUNDS. THE SCATTER PLOT SHOWS A STRONG POSITIVE CORRELATION.

  1. 0.62
  2. – 0.94
  3. 0.94
  4. – 0.62

9. Which of the following has the stronger linear relationship? Explain.

Scatter Plot A:

SCATTER PLOT THAT SHOWS A MODERATE POSITIVE CORRELATION.

Scatter Plot B:

SCATTER PLOT THAT SHOWS A STRONG POSITIVE CORRELATION.

  1. Scatter plot B
  2. Scatter plot A

10. Which of the following correlation coefficients would best describe the scatter plot?

SCATTER PLOT THAT SHOWS THE RELATIONSHIP BETWEEN FAT IN GRAMS AND CALORIES. THE SCATTER PLOT SHOWS A MODERATE POSITIVE CORRELATION.

  1. -0.43
  2. 0.43
  3. 0.89
  4. -0.89
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