Question

math 8: term 2 homework #8 due friday! name?

1. a researcher studied the relationship between the number of times a certain species of cricket will chirp in one minute and the temperature outside. her data is expressed in the scatter plot and line of best fit below. what does the point (94, 63.2) represent?

scatter plot and line of best fit image
a. actual temperature of 94°f when the cricket has chirped 63.2 times.
b. an expected temperature of 94°f when the cricket has chirped 63.2 times.
c. an expected temperature of 63.2°f when the cricket has chirped 94 times.
d. actual temperature of 63.2°f when the cricket has chirped 94 times.

1. hunter’s math teacher plots student grades on their weekly quizzes against the number of hours they say they study on the pair of coordinate axes and then draws the line of best fit. what does the line’s y - intercept represent?

scatter plot and line of best fit image
a. a student’s expected quiz score if they spent no time on their homework.
b. the change in expected quiz score for every additional one hour students spend on their homework.
c. how many hours a student spends studying all year.
d. a prediction of a student’s quiz score if they spent 1 hour on their homework.

Explanation:

Step1: Analyze scatter plot axes

The x-axis is "Chirps Per Minute", y-axis is "Temperature (Degrees Fahrenheit)". The point $(94, 63.2)$ has $x=94$ (chirps) and $y=63.2$ (temperature). Since it lies on the line of best fit, it is an expected value, not actual data.

Step2: Match to correct option

This matches the description: expected temperature of $63.2^\circ\text{F}$ at 94 chirps per minute.

Step3: Analyze y-intercept definition

For a line of best fit with x = time spent on homework, y = quiz score, the y-intercept occurs at $x=0$ (no study time), representing the expected quiz score in that case.

Step4: Match to correct option

This matches the description of option A for question 2.

Answer:

1. C. An expected temperature of $63.2^\circ\text{F}$ when the cricket has chirped 94 times.
2. A. A student's expected quiz score if they spent no time on their homework.