Line of Best Fit = -0 Assume That the Horizontal Distance Travelled Varies Linearly with the One

question 85

Multiple Choice

Line of best fit = -0.68x + 82.91
Choose the one alternative that best completes the statement or answers the question.
-Super Sally, a truly amazing individual, picks up a rock and throws it as hard as she can. The table below displays the relationship between the rock's horizontal distance, d (in feet) from Sally and the initial speed with which she throws. $$\begin{array} { l | c c c c c } \text { Initial speed( in ft/sec) , v } & 10 & 15 & 20 & 25 & 30 \\\hline \text { Horizontal distance of the rock (in feet) , d } & 9.9 & 14.8 & 19.1 & 24.5 & 28.2\end{array}$$ Assume that the horizontal distance travelled varies linearly with the speed with which the rock is thrown. Using a
Graphing utility, find the line of best fit, and estimate, rounded to two decimal places, the horizontal distance of the rock
If the initial speed is 33 ft/sec.

• A) 31.34 feet
• B) 26.67 feet
• C) 31.33 feet
• D) 34.76 feet

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Definitions:

ANOVA

ANOVA, or Analysis of Variance, is a statistical method used to test differences between two or more means by analyzing variation within and between groups.

Means

Refers to the arithmetic average of a set of numbers, calculated as the sum of the numbers divided by the count of those numbers.

Null Hypothesis

A statistical hypothesis that assumes no significant difference or effect exists among the tested groups or variables.

Chi-Square Test

A statistical test used to determine if there is a significant difference between observed frequencies and expected frequencies in categorized datasets.