(c) Find x, and y. Then find the equation of the least-squares line y = a + bx. (For each answer, enter a number. Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) 5:14:19 х3 y = ý = %3D х (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. (Select the correct graph.) y У У y 200 200 200 200 150 150 150 150 100 100 100 100 50 50 50 х х х х 20 30 20 30 40 10 20 30 40 30 10 40 10 10 20 (e) Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (For each answer, enter a number. Round your answer for r 2 to three decimal places. Round your answers for the percentages to one decimal place.) explained = unexplained = (f) The calves you want to buy are 10 weeks old. What does the least-squares line predict for a healthy weight (in kg)? (Enter a number. Round your answer to two decimal places.) kg
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.
You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, and you are going to buy some calves to add to the Bar-S herd. How much should a healthy calf weigh? Let x be the age of the calf (in weeks), and let y be the weight of the calf (in kilograms).
| x | 1 | 5 | 11 | 16 | 26 | 36 |
|---|---|---|---|---|---|---|
| y | 39 | 47 | 73 | 100 | 150 | 200 |
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