Tyler creates a scatter plot that displays the relationship between the grams of food a hamster eats, x, and the total number of rotations that the hamster's wheel makes, y. Tyler creates a line of best fit and finds that the residual for the point (1.4, 1250) is -132. The point (1.2, 1364) has a residual of 117. interpret the meaning of 117 in the context of the problem residual of 117. Interpret the meaning of 117 in the context of the problem.
Answers
Final answer:
The residual of 117 means the number of rotations that the hamster's wheel makes is 117 rotations more than what the line of best fit predicted when the hamster eats 1.2 grams of food. This suggests that the line of best fit is underestimating the relationship between food consumed and wheel rotations.
Explanation:
In this problem, Tyler created a scatter plot to investigate the relationship between the amount of food a hamster eats, represented by x, and the number of wheel rotations, represented by y. He used a line of best-fit approach to predict y values based on x. The difference between the actual y value and the predicted y value from the line of best fit is known as a residual.
The residual for the point (1.2, 1364) is 117. This means that the number of rotations that the hamster's wheel makes is 117 more than what the line of best fit predicted for when the hamster eats 1.2 grams of food. It shows that the actual value of y is above the predicted value on the line of best fit, hence the positive residual. This might suggest that the line of best fit is underestimating the relationship between the amount of food consumed and the wheel rotations.
Learn more about Residuals in Scatter Plots here:
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Answer:
The meaning of 117 is how far the point (1.2, 1364) is from the line of best fit.
Step-by-step explanation:
The residual is how far a point is from a line of best fit, the residual is 117.
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Thank you.
Answer:
The value of y=-9
Step-by-step explanation:
If (-3, y) lies on the graph of y = 3x
If any point satisfy the equation or graph. We get true for that point.
Now, we substitute the point into equation and left side is equivalent to right side.
Put x=-3 and to solve for y
y=3(-3)
y=-9
If x=-3 then y=-9
Hence, The value of y=-9
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Step-by-step explanation:
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Step-by-step explanation:
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/
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