Good runners take more steps per second as they speed up. Here are the average numbers of steps per second for a group of top female runners at different speeds. The spoeds are in feet per CHER PRACTICE ANOTHI second. Speed (ft/s) 15.58 16.79 17.63 18.64 19.72 21.00 22.32 Steps per second 3.06 3.15 3.18 3.28 3.38 3.42 3.50 (a) You want to predict steps per second from running speed. Make a scatterplot of the data with this goal in mind. (Do this on paper. Your instructor may ask you to turn in this graph.) (b) Describe the pattern of the data and find the correlation. r=0.975 O There is a strong positive linear relationship. O There is a weak positive linear relationship. O There is a strong negative linear relationship. O There is a weak negative linear relationship. (c) Find the least-squares regression line of steps per second on running speed. Draw this line on your scatterplot. (Do this on paper. Your instructor may ask you to turn in this graph.) ý = -0.508 X x (d) Does running speed explain most of the variation in the number of steps a runner takes per second? X + 5.953 Yes O No Calculate and use it to answer this question. 2-1.67
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.
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