Calories Burned on a Treadmill

Matty P

Andy P

Topic

• We decided to pick the topic of figuring out how many calories people will burn on a treadmill while running at a specific speed for a specific distance.

• We studied this because Andrew loves to run.• We found a site that would calculate how many

calories were burned by the person’s weight, pace, and how long they were going.

• We plugged all of our data into minitab and got a multiple regression equation. We got the equation with all the data that we plugged into the website.

Topic (cont.)

• We had 24 total data points which covered both men and woman running 6,7,8, and 9 minute miles for 30, 20, and 10 minutes in length.

• The average weight for men was 190lbs, the average weight for women was 162lbs.

• With these values you can plug in any weight value into the equation.

Data - Men

Minutes Pace Weight Calories Calories

(equation) Residual

30 6 190 742 668.1 73.9

30 7 190 652 615.6 36.4

30 8 190 562 563.1 -1.1

30 9 190 480 510.6 -30.6

20 6 190 495 484.1 10.9

20 7 190 435 431.6 3.4

20 8 190 375 379.1 -4.1

20 9 190 320 326.6 -6.6

10 6 190 248 300.1 -52.1

10 7 190 217 247.6 -30.6

10 8 190 188 195.1 -7.1

10 9 190 160 142.6 17.4

Data - Women

Minutes Pace Weight CaloriesCalories

(equation) Residual

30 6 162 604 593.34 10.66

30 7 162 531 540.84 -9.84

30 8 162 458 488.34 -30.34

30 9 162 396 435.84 -39.84

20 6 162 403 409.34 -6.34

20 7 162 354 356.84 -2.84

20 8 162 305 304.34 0.66

20 9 162 264 251.84 12.16

10 6 162 201 225.34 -24.34

10 7 162 177 172.84 4.16

10 8 162 152 120.34 31.66

10 9 162 132 67.84 64.16

Dot Plot

Histogram

Pie Chart

Stem and Leaf

Leaf Unit = 10

1 1 3 5 1 5678 8 2 014 9 2 6 11 3 02 (3) 3 579 10 4 03 8 4 589 5 5 3 4 5 6 3 6 0 2 6 5 1 7 4

Boxplot

Group Data ChartClass Boundaries Frequency Relative

FrequencyMidpoint Cumulative

Frequency

100-199 1 .042 149.5 1

200-299 7 .292 249.5 8

300-399 3 .125 349.5 11

400-499 5 .208 449.5 16

500-599 4 .167 549.5 20

600-699 2 .083 649.5 22

700-799 2 .083 749.5 24

Total 24 1

Measures of Center

• Mean – 368.79• Median – 364.5• 1Q – 209• 3Q – 487.5• Max – 742• Min – 132• Standard Deviation – 172.02

Outlier Slide

• We did the IQR test to figure out if we had any outliers. • 487.5 (3Q) – 209 (1Q) = 278.5 x 1.5 = 417.75• Upper Fence: 417.75 + 487.5 (3Q) = 905.25• Lower Fence: 209 (1Q) – 417.75 = -208.75• There are NO outliers.

Chebychev Slide

• 95.8% of the data falls between two standard deviations of the data.

• 100% of the data is within three standard deviations of the data.

Z-ScoresCalories Z-Scores

742 2.169573

652 1.646378

604 1.367341

562 1.123183

531 0.942972

495 0.733694

480 0.646495

458 0.518602

435 0.384897

403 0.198872

396 0.158179

375 0.0361

354 -0.08598

320 -0.28363

305 -0.37083

264 -0.60917

248 -0.70219

217 -0.8824

201 -0.97541

188 -1.05098

177 -1.11493

160 -1.21375

152 -1.26026

132 -1.37653

Summary

• We figured out a multiple regression equation.• We analyzed the data.• We found that there were no outliers. • We had a weird distribution because we compared our calories to

frequency.• 100% of data falls within three standard deviations of the data.• We found that the more you weigh the more calories you burn.

Equation

• Y = -76.2 + 18.4 (minutes) – 52.5 (pace) + 2.67 (weight)