Question

Asked Sep 30, 2019

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Every morning, Tania leaves for work a few minutes after 7:00 A.M.. For eight days, she keeps track of the time she leaves (the number of minutes after 7:00) and the number of minutes it takes her to get to work. Following are the results:

Time Leaving: 13 14 16 30 20 12 9 17 16 10 16

Lenght of Commute: 27 20 23 45 20 45 20 28 27 23 30

a. Construct a scatterplot of the lenght of commute (y) versus the time leaving(x).

b. Compute the least-squares regression line for predicting the length of commute from the time leaving.

c. Compute the coefficient of determintion.

Step 1

**a.Scatter diagram of the data:**

The line that best fits the data is least-squares regression line.

The procedure to draw scatterplot using EXCEL is as follows.

- Select the data Time Leaving (
*x*) and Length of Commute (*y*). - Go to
**Insert**. - Select
**Scatter**under**Charts**. - Right click on the obtained chart, check
**linear, Display Equation on chart**, and**Display R-squared value on chart**.

The scatter diagram for the data that is obtained using EXCEL is as follows:

Step 2

**b.Least squares regression line:**

From the scatter diagram obtained in part (a), the least squares regression line for p...

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