Examine the accompanying sample data for the variables y and x. Complete parts a throughd below. 1 3 4 y 9 8 8 7 5 a. Construct a scatter plot of these data. Describe the relationship between x and y. Choose the correct scatter plot below. O A. В. D. 11- 11- Describe the relationship between x and y. Choose the correct answer below. O A. There appears to be a negative linear relationship between x and y, because y increases as x increases. O B. There appears to be a negative linear relationship between x and y, because y decreases as x increases. O C. There appears to be a positive linear relationship between x and y, because y increasesas x increases. O D. There appears to be a positive linear relationship between x and y, because y decreasesas x increases. O E. There appears to be no relationship between x and y. b. Calculate the sum of squares error for the following equations: (1) y = 9.4 - 0.1x, (2) y = 10.1 – 0.9x, and (3) y = 10.7 –1.7x. The sum of squares error for the equation y= 9.4 - 0.1x is. The sum of squares error for the equation y= 10.1 - 0.9x is The sum of squares error for the equation y = 10.7 - 1.7x is (Round to two decimal places as needed.) c. Which of these equations provides the "best" fit of these data? Describe the criterion used to determine "best" fit. O A. The equation y= 10.1 - 0.9x provides the best fit because it has the lowest sum of squares error. This criterion is called the method of least squares. O B. The equation y = 10.7 – 1.7x provides the best fit because it has the lowest sum of squares error. This criterion is called the method of least squares. O C. The equation y= 10.1- 0.9x provides the best fit because it has the highest sum of squares error. This criterion is called the method of most squares. O D. The equation y= 9.4 - 0.1x provides the best fit because it has the highest sum of squares error. This criterion is called the method of most squares. O E. The equation y = 10.7 – 1.7x provides the best fit because it has the highest sum of squares error. This criterion is called the method of most squares. O F. The equation y= 9.4 - 0.1x provides the best fit because it has the lowest sum of squares error. This criterion is called the method of least squares. d. Determine the regression line that minimizes the sum of squares error. (Round to one decimal place as needed.)
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.
Make sure to do the rounding and double check the Answers please.
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