Question

A botanist collected data on the growth of sunflowers to maturity. She modeled the equation ◂=▸y=x+ 3 2 for the line of best fit. The independent variable, x, is time in weeks and the dependent variable, y, is height in feet. What does the slope mean in this context? (1 point) Responses The sunflower's height increases by an additional 3/2 foot each week. The sunflower's height increases by an additional 3/2 foot each week. The sunflower's height increases by an additional 1 foot each week. The sunflower's height increases by an additional 1 foot each week. The sunflower's starting height is 3/2 foot. The sunflower's starting height is 3/2 foot. The sunflower's age increases by an additional 3/2 week every 1 foot. The sunflower's age increases by an additional 3/2 week every 1 foot. The sunflower's starting height is 1 foot. The sunflower's starting height is 1 foot.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The slope of the equation represents the rate of change of the dependent variable (height in feet) with respect to the independent variable (time in weeks). In this case, the slope is 3/2. Therefore, the correct interpretation of the slope is:

The sunflower's height increases by an additional 3/2 foot each week.

Answer 2

If you were going to gather some statistics to create a scatter plot, draw a line of best fit, and interpret the slope and y-intercept in context, which of these would be a good statistical question to ask? Check all that apply.(2 points) Responses How tall are the students in your grade level at school? How tall are the students in your grade level at school? How is college student enrollment changing over the last century? How is college student enrollment changing over the last century? What percentage of families in Florida had a radio in 1930? What percentage of families in Florida had a radio in 1930? What kind of car does your family drive? What kind of car does your family drive? Was your height greater than 60 cm before your last birthday? Was your height greater than 60 cm before your last birthday? What is your favorite color?

Answer 3

[AI-generated answer — Bot GPT 3.5]

The statistical questions that would be good to gather data for creating a scatter plot, drawing a line of best fit, and interpreting the slope and y-intercept in context are:

- How is college student enrollment changing over the last century?
- What percentage of families in Florida had a radio in 1930?

Answer 4

[AI-generated answer — Explain Bot]

The slope of the line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). In this context, since the independent variable is time (in weeks) and the dependent variable is height (in feet), the slope of 3/2 means that the sunflower's height increases by an additional 3/2 foot each week. Therefore, the correct answer is "The sunflower's height increases by an additional 3/2 foot each week."