# Bivariate data set

Here is a bivariate data set in which you believe y to be the response variable.

x y

51.4 44.8

60.2 46.6

60.1 46.8

45.8 46.3

37.4 41.8

72.4 52.5

60 48.2

67.5 49.5

60.9 49.8

51.1 45.7

62.7 49.6

194.9 84.2

Make a scatter plot of this data. Which point is an outlier?

(Enter as an ordered pair. )

Find the regression equation for the data set without the outlier.

(Enter as an equation in the form y = mx + b with your values for m and b rounded to three decimal places. )

Find the regression equation for the data set with the outlier.

(Enter as an equation in the form y = mx + b with your values for m and b rounded to three decimal places. )

Is this outlier an influential point?

No, the outlier does not appear to be an influential point.

Yes, the outlier appears to be an influential point.

x y

51.4 44.8

60.2 46.6

60.1 46.8

45.8 46.3

37.4 41.8

72.4 52.5

60 48.2

67.5 49.5

60.9 49.8

51.1 45.7

62.7 49.6

194.9 84.2

Make a scatter plot of this data. Which point is an outlier?

(Enter as an ordered pair. )

Find the regression equation for the data set without the outlier.

(Enter as an equation in the form y = mx + b with your values for m and b rounded to three decimal places. )

Find the regression equation for the data set with the outlier.

(Enter as an equation in the form y = mx + b with your values for m and b rounded to three decimal places. )

Is this outlier an influential point?

No, the outlier does not appear to be an influential point.

Yes, the outlier appears to be an influential point.

### Correct answer:

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**Math student**

Problem 7. For the set of data below,

5, 3, 8, 6, 1, -10, 3, 9, 7, 4, 2

7a) Determine the 5 point summaries? Show all your steps. (6 points)

7b) Construct the box and whisker plot? Show all your steps. (4 points)

7c) Find if there are any outliers? Justify your answer. Show all your steps. (4 points)

5, 3, 8, 6, 1, -10, 3, 9, 7, 4, 2

7a) Determine the 5 point summaries? Show all your steps. (6 points)

7b) Construct the box and whisker plot? Show all your steps. (4 points)

7c) Find if there are any outliers? Justify your answer. Show all your steps. (4 points)

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