# Answer to Question #17206 in Statistics and Probability for Kristen

Question #17206

a. Construct a scatter plot using Excel or StatCrunch for the given data. B. Determine whether there is a positive linear correlation, negative linear correlation, or no linear correlation. C. Complete the table and find the correlation coefficient r. The data for x and y is shown below.

x 11 -6 8 -3 -2 1 5 -5 6 7

y -5 -3 4 1 -1 -2 0 2 3 -4

a. Scatter plot

b. Type of correlation (positive linear correlation, negative linear correlation, or no linear correlation)

c. Complete the table and find the correlation coefficient r.

x y xy x2 y2

11 -5

-6 -3

8 4

-3 1

-2 -1

1 -2

5 0

-5 2

6 3

7 -4

Use the last row of the table to show the column totals.

n = 10

r =

2. a. Construct a scatter plot including the regression line using Excel or StatCrunch for the given data. B. Determine whether there is a positive linear correlation, negative linear correlation, or no linear correlation. C. Complete the table and find the correlation coefficient r.

a. The data below are the ages and systolic blood pressure (measured in millimeters of mercury) of 9 randomly selected adults.

Age, x 38 41 45 48 51 53 57 61 65

Pressure, y 116 120 123 131 142 145 148 150 152

Part 1: Scatter plot with regression line.

Part 2: Type of correlation (positive linear correlation, negative linear correlation, or no linear correlation)

Part 3: Complete the table and find the correlation coefficient r.

x y xy x2 y2

38 116

41 120

45 123

48 131

51 142

53 145

57 148

61 150

65 152

Use the last row of the table to show the column totals.

n = 9

3. Using the r calculated in problem 2c test the significance of the correlation coefficient using = 0.01 and the claim rho = 0. Use the steps for a hypothesis test shown. (Note: Round the computed t to 3 decimal places.)

1. H0 :

Ha :

2. =

3.

4. For degrees of freedom =

5. Rejection region:

6. Decision: Since

7. Interpretation:

4. The data below are the ages and systolic blood pressure (measured in millimeters of mercury) of 9 randomly selected adults.

Age, x 38 41 45 48 51 53 57 61 65

Pressure, y 116 120 123 131 142 145 148 150 152

a. Find the equation of the regression line for the given data. Round the line values to the nearest two decimal places.

b. Using the equation found in part a, predict the pressure when the age is 50. Round to the nearest mm.

x 11 -6 8 -3 -2 1 5 -5 6 7

y -5 -3 4 1 -1 -2 0 2 3 -4

a. Scatter plot

b. Type of correlation (positive linear correlation, negative linear correlation, or no linear correlation)

c. Complete the table and find the correlation coefficient r.

x y xy x2 y2

11 -5

-6 -3

8 4

-3 1

-2 -1

1 -2

5 0

-5 2

6 3

7 -4

Use the last row of the table to show the column totals.

n = 10

r =

2. a. Construct a scatter plot including the regression line using Excel or StatCrunch for the given data. B. Determine whether there is a positive linear correlation, negative linear correlation, or no linear correlation. C. Complete the table and find the correlation coefficient r.

a. The data below are the ages and systolic blood pressure (measured in millimeters of mercury) of 9 randomly selected adults.

Age, x 38 41 45 48 51 53 57 61 65

Pressure, y 116 120 123 131 142 145 148 150 152

Part 1: Scatter plot with regression line.

Part 2: Type of correlation (positive linear correlation, negative linear correlation, or no linear correlation)

Part 3: Complete the table and find the correlation coefficient r.

x y xy x2 y2

38 116

41 120

45 123

48 131

51 142

53 145

57 148

61 150

65 152

Use the last row of the table to show the column totals.

n = 9

3. Using the r calculated in problem 2c test the significance of the correlation coefficient using = 0.01 and the claim rho = 0. Use the steps for a hypothesis test shown. (Note: Round the computed t to 3 decimal places.)

1. H0 :

Ha :

2. =

3.

4. For degrees of freedom =

5. Rejection region:

6. Decision: Since

7. Interpretation:

4. The data below are the ages and systolic blood pressure (measured in millimeters of mercury) of 9 randomly selected adults.

Age, x 38 41 45 48 51 53 57 61 65

Pressure, y 116 120 123 131 142 145 148 150 152

a. Find the equation of the regression line for the given data. Round the line values to the nearest two decimal places.

b. Using the equation found in part a, predict the pressure when the age is 50. Round to the nearest mm.

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