Unit 1000 Assignment 2 Wow All Your Work
STAT 1000 Assignment 2
SHOW ALL YOUR WORK
1. Consider the following 10 data points: x 3 5 6 4 3 7 6 5 4 7 y 4 3 2 1 2 3 3 5 4 2
(a) Plot the above observations on a scatterplot.
(b) Calculate the correlation coefficient, r (by hand). What does this value tell us?
(c) Calculate the least squares regression line.
2. A foods-and-nutrition investigator would like to know if the amount of sodium (g) can be predicted by the amount of sugar (g) in the following sample of 12 popular breakfast cereals.
Cereal Sugar (g) Sodium (g)
Mini Wheats 7 0
All-Bran 5 0.26
Apple Jacks 14 0.13
Captain Crunch 12 0.22
Cheerios 1 0.29
Cinnamon Toast Crunch …show more content…
An experiment will be conducted on a test track under simulated weather conditions (either dry, rain or snow) and at different speeds (40 km/h, 60 km/h, 80 km/h or 100 km/h).
Each combination of factor levels will be tested in three trial runs.
(b) An experiment is to be conducted to determine the effect of temperature on the adhesive strength of C-glue. The glue will be applied to a material at either 10ºC, 15ºC or 20ºC. The experiment will be conducted separately for two different types of material (metal and plastic), as the effect of temperature is expected to differ for the two materials. Ten pieces of metal and ten pieces of plastic will be tested for each treatment.
4. A running-shoe manufacturer wanted to test the effect of its new sprinting shoe on the 100-meter dash times. The company sponsored five athletes who were running the 100- meter dash in the Summer Olympics. To test the shoe, it had all five runners run the race with its competitor's shoe and then again with its new shoe. The company used the difference in times as its response
SHOW ALL YOUR WORK
1. Consider the following 10 data points: x 3 5 6 4 3 7 6 5 4 7 y 4 3 2 1 2 3 3 5 4 2
(a) Plot the above observations on a scatterplot.
(b) Calculate the correlation coefficient, r (by hand). What does this value tell us?
(c) Calculate the least squares regression line.
2. A foods-and-nutrition investigator would like to know if the amount of sodium (g) can be predicted by the amount of sugar (g) in the following sample of 12 popular breakfast cereals.
Cereal Sugar (g) Sodium (g)
Mini Wheats 7 0
All-Bran 5 0.26
Apple Jacks 14 0.13
Captain Crunch 12 0.22
Cheerios 1 0.29
Cinnamon Toast Crunch …show more content…
An experiment will be conducted on a test track under simulated weather conditions (either dry, rain or snow) and at different speeds (40 km/h, 60 km/h, 80 km/h or 100 km/h).
Each combination of factor levels will be tested in three trial runs.
(b) An experiment is to be conducted to determine the effect of temperature on the adhesive strength of C-glue. The glue will be applied to a material at either 10ºC, 15ºC or 20ºC. The experiment will be conducted separately for two different types of material (metal and plastic), as the effect of temperature is expected to differ for the two materials. Ten pieces of metal and ten pieces of plastic will be tested for each treatment.
4. A running-shoe manufacturer wanted to test the effect of its new sprinting shoe on the 100-meter dash times. The company sponsored five athletes who were running the 100- meter dash in the Summer Olympics. To test the shoe, it had all five runners run the race with its competitor's shoe and then again with its new shoe. The company used the difference in times as its response