Question
Question 1 A) Use the table to answer the question. x y 1 5 2 9 3 10 4 10.5 5 11 Use a spreadsheet calculator to determine the equation of the line of best fit for the data in this table. Round to the nearest hundredth, if needed. (1 point) Responses y=x+5 y equals x plus 5 y=1.35x+5.05 y equals 1.35 x plus 5.05 y=5x+11 y equals 5 x plus 11 y=5.05x+1.35 y equals 5.05 x plus 1.35 Spreadsheet Question 2 A) Use the table to answer the question. x (Hitting Attempts) f(x)=(Kills) 21 11 13 6 18 9 16 9 24 11 22 12 Ava is a middle hitter on her club volleyball team. The table displays the number of hitting attempts she had in the last six games compared to the number of kills, which is when a hitting attempt hits the ground and scores a point. If the slope for the line of best fit is 12, interpret the following representations of the slope and identify which statement is accurate. (1 point) Responses Ava’s number of kills increases by 2 for every game. Ava’s number of kills increases by 2 for every game. Ava has about 2 kills for every game. Ava has about 2 kills for every game. Ava has about 2 kills for every hitting attempt. Ava has about 2 kills for every hitting attempt. Ava has about 1 kill for every 2 hitting attempts.
Answers
GPT-4o mini
**Question 1 A)**
To determine the equation of the line of best fit for the given data, you can use linear regression in a spreadsheet calculator. Based on the input data, the slope and y-intercept of the line can be computed.
Using the given values in the table:
- The approximate equation of the line of best fit would typically look like:
\[
y = mx + b
\]
where \( m \) is the slope and \( b \) is the y-intercept. After performing this calculation, the equation for the line of best fit is:
\[
y = 1.35x + 5.05
\]
Thus, the correct response is:
**y = 1.35x + 5.05**.
---
**Question 2 A)**
For the slope of the line of best fit being 12, this means that for each additional hitting attempt, Ava's number of kills increases by an average of 12/1 = 12 kills per hitting attempt.
However, based on the provided statements, none of them specifically mention a slope of 12.
From the options available, it seems like there may have been a miscalculation in the slope provided in the context of the question. If the slope were actually interpreted as "Ava's number of kills increases by 2 for every game," then this assumption would mean that for every game, Ava has more kills, but given the slope of 12, that means she has a more significant increase per number of attempts.
Thus, if the slope reflects the relation to hitting attempts rather than games, the most accurate interpretation would’ve been:
**Ava has about 1 kill for every 2 hitting attempts.**
However, please double-check the context in which "12" is being interpreted, as it appears that the possible answers might not correspond perfectly with the scenario presented originally.
To determine the equation of the line of best fit for the given data, you can use linear regression in a spreadsheet calculator. Based on the input data, the slope and y-intercept of the line can be computed.
Using the given values in the table:
- The approximate equation of the line of best fit would typically look like:
\[
y = mx + b
\]
where \( m \) is the slope and \( b \) is the y-intercept. After performing this calculation, the equation for the line of best fit is:
\[
y = 1.35x + 5.05
\]
Thus, the correct response is:
**y = 1.35x + 5.05**.
---
**Question 2 A)**
For the slope of the line of best fit being 12, this means that for each additional hitting attempt, Ava's number of kills increases by an average of 12/1 = 12 kills per hitting attempt.
However, based on the provided statements, none of them specifically mention a slope of 12.
From the options available, it seems like there may have been a miscalculation in the slope provided in the context of the question. If the slope were actually interpreted as "Ava's number of kills increases by 2 for every game," then this assumption would mean that for every game, Ava has more kills, but given the slope of 12, that means she has a more significant increase per number of attempts.
Thus, if the slope reflects the relation to hitting attempts rather than games, the most accurate interpretation would’ve been:
**Ava has about 1 kill for every 2 hitting attempts.**
However, please double-check the context in which "12" is being interpreted, as it appears that the possible answers might not correspond perfectly with the scenario presented originally.