Question

In: Statistics and Probability

1. Consider the following set of data relating Distance from School and Time to get to...

1. Consider the following set of data relating Distance from School and Time to get to school:

  1. Construct a scatter plot for the given data.

  2. Does the scatter plot show positive/negative/no correlation? Justify your answer.

  3. Find the least-square regression line (Best fit line).

  4. If a student lives 6.8 miles away from school, what is her predicted time to get to school?

X (miles)

Y (minutes)

2

10

3

7

3.1

12

4.5

15

5

20

5.5

27

7

25

8.1

20

10

30

1

e. Is there a linear correlation between the two variables? (Hint: find t-test statistic value)

Solutions

Expert Solution

i) Using Minitab software, (Graph -> Scatter Plot), we get the following output -

The scatter plot show positive correlation.

ii) Using Minitab software, (Stat -> Regression -> Regression -> Fit Regression Model), we get the following output -

The least-square regression line is

If a student lives 6.8 miles away from school, her predicted time to get to school is

e)

The sample linear correlation between the two variables r = 0.852

orchestra answered 2 years ago
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