a. Estimate the average value of the steel tensile strength when the carbon amount is 320 mg/g, and construct a 95% confidence interval for this estimate. b. Predict the strength of the steel when the carbon amount is 200 mg/g and construct a 95% prediction interval. c. Plot Residuals vs Fitted Value graph and comment on the regression model. x 100 125 125 150 150 200 200 250 250 300 300 350 403 402 y 155 142 180 210 190 320 280 400 430 440 390 600 610 670
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
a. Estimate the average value of the steel tensile strength when the carbon amount is 320 mg/g, and construct a 95% confidence interval for this estimate.
b. Predict the strength of the steel when the carbon amount is 200 mg/g and construct a 95% prediction interval.
c. Plot Residuals vs Fitted Value graph and comment on the regression model.
|
x |
100 |
125 |
125 |
150 |
150 |
200 |
200 |
250 |
250 |
300 |
300 |
350 |
403 |
402 |
|
y |
155 |
142 |
180 |
210 |
190 |
320 |
280 |
400 |
430 |
440 |
390 |
600 |
610 |
670 |
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