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STEP 1: Create a scatterplot in DESMOS using the following table.
STEP 2: What kind of function does the graph represent?
(linear, quadratic, exponential, none of these)
(1 point)
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Question 2
STEP 3: Find the regression information using desmos, and type the equation below. (You can round to the nearest hundredth)(1 point)
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Question 3
STEP 4: Using your equation, predict the sales for when it was 98 degrees to the nearest hundredth. (Make sure to show your work on desmos.)(1 point)
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Question 4
STEP 5: What is the correlation coefficient for your data? (You may round to the nearest hundredth)(1 point)
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Question 5
STEP 6: Does your correlation coefficent mean that your equation is weak or strong? Explain.(1 point)
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Question 6
STEP 7: Copy and paste your desmos link below. If you don't know how, click here.
Your work MUST be supported on your desmos link in order to receive any credit for the previous steps.
(1 point)
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All Answers 1
Answered by
GPT-5 mini
AI
I don’t see the data table in your message. I can’t make the Desmos graph or compute the regression/prediction without the table of (Temperature, Sales) points. Paste the table here (or upload a screenshot), and I’ll run through Steps 1–7 and give the exact answers and a Desmos link.
While you get that, here are step-by-step instructions you can follow in Desmos so you can complete the assignment yourself. I’ll show the exact Desmos commands to use and how to get the equation, correlation coefficient, prediction for x = 98, and how to share the Desmos link.
Step-by-step Desmos procedure
1) Enter the data (scatterplot)
- In Desmos, click the plus (+) → Table.
- Enter your x values (temperature) in column x1 and y values (sales) in column y1. The points will appear as a scatterplot.
2) Decide function type (linear, quadratic, exponential, or none)
- Look at the scatter pattern: roughly a straight line → linear; U-shaped → quadratic; multiplicative growth/decay → exponential.
- You can also fit multiple regressions and compare fit (r^2) to choose best type.
3) Get regression equation
- For linear regression use: y1 ~ m x1 + b
- Desmos will show m and b and r^2.
- For quadratic regression use: y1 ~ a x1^2 + b x1 + c
- For exponential regression (type a·b^x) use: y1 ~ a b^(x1)
- For exponential of form y = a·e^(bx), use y1 ~ a e^(b x1)
- After entering one of the above in the expression line, Desmos displays fitted parameters. Round the parameters to nearest hundredth for your answer.
4) Predict sales at x = 98
- If the chosen model is linear: create an expression in Desmos, e.g. yPred = m*98 + b
- For quadratic: yPred = a*(98)^2 + b*(98) + c
- For exponential: yPred = a*b^(98) (or a e^(b*98) depending on your model)
- Desmos will calculate yPred; round to the nearest hundredth.
5) Find correlation coefficient r
- Desmos shows r^2 (coefficient of determination) with the regression.
- To get r (correlation coefficient), compute r = sign(m) * sqrt(r^2)
- Use the slope sign for linear; for nonlinear fits, r as a single “correlation coefficient” is less straightforward. For linear regression, do:
r = sign(m) * sqrt(r^2)
- In Desmos you can create an expression r = sign(m) * sqrt(r^2) (or use the fitted parameter names Desmos shows) and round to nearest hundredth.
6) Interpret strength from r
- |r| close to 1 (e.g., ≥ 0.8) → strong correlation
- |r| moderate (≈ 0.5–0.8) → moderate
- |r| small (≤ 0.3) → weak
- Also mention positive/negative sign indicates direction (positive slope → positive r).
7) Share your Desmos link
- In Desmos: click Share (top right) → Click “Copy Link” (or “Share Graph” → “Copy Link”).
- Paste that link into your assignment so teacher can see your work.
What I need from you
- Paste the table of data points here (temperatures and corresponding sales).
Once you paste it I will:
- Put it in Desmos,
- Tell you which function type fits best,
- Give the regression equation (rounded to hundredths),
- Compute the predicted sales for 98 degrees (rounded to hundredths and show the Desmos expression),
- Compute r (rounded to hundredths) and interpret its strength,
- Provide the Desmos share link to your graph.
While you get that, here are step-by-step instructions you can follow in Desmos so you can complete the assignment yourself. I’ll show the exact Desmos commands to use and how to get the equation, correlation coefficient, prediction for x = 98, and how to share the Desmos link.
Step-by-step Desmos procedure
1) Enter the data (scatterplot)
- In Desmos, click the plus (+) → Table.
- Enter your x values (temperature) in column x1 and y values (sales) in column y1. The points will appear as a scatterplot.
2) Decide function type (linear, quadratic, exponential, or none)
- Look at the scatter pattern: roughly a straight line → linear; U-shaped → quadratic; multiplicative growth/decay → exponential.
- You can also fit multiple regressions and compare fit (r^2) to choose best type.
3) Get regression equation
- For linear regression use: y1 ~ m x1 + b
- Desmos will show m and b and r^2.
- For quadratic regression use: y1 ~ a x1^2 + b x1 + c
- For exponential regression (type a·b^x) use: y1 ~ a b^(x1)
- For exponential of form y = a·e^(bx), use y1 ~ a e^(b x1)
- After entering one of the above in the expression line, Desmos displays fitted parameters. Round the parameters to nearest hundredth for your answer.
4) Predict sales at x = 98
- If the chosen model is linear: create an expression in Desmos, e.g. yPred = m*98 + b
- For quadratic: yPred = a*(98)^2 + b*(98) + c
- For exponential: yPred = a*b^(98) (or a e^(b*98) depending on your model)
- Desmos will calculate yPred; round to the nearest hundredth.
5) Find correlation coefficient r
- Desmos shows r^2 (coefficient of determination) with the regression.
- To get r (correlation coefficient), compute r = sign(m) * sqrt(r^2)
- Use the slope sign for linear; for nonlinear fits, r as a single “correlation coefficient” is less straightforward. For linear regression, do:
r = sign(m) * sqrt(r^2)
- In Desmos you can create an expression r = sign(m) * sqrt(r^2) (or use the fitted parameter names Desmos shows) and round to nearest hundredth.
6) Interpret strength from r
- |r| close to 1 (e.g., ≥ 0.8) → strong correlation
- |r| moderate (≈ 0.5–0.8) → moderate
- |r| small (≤ 0.3) → weak
- Also mention positive/negative sign indicates direction (positive slope → positive r).
7) Share your Desmos link
- In Desmos: click Share (top right) → Click “Copy Link” (or “Share Graph” → “Copy Link”).
- Paste that link into your assignment so teacher can see your work.
What I need from you
- Paste the table of data points here (temperatures and corresponding sales).
Once you paste it I will:
- Put it in Desmos,
- Tell you which function type fits best,
- Give the regression equation (rounded to hundredths),
- Compute the predicted sales for 98 degrees (rounded to hundredths and show the Desmos expression),
- Compute r (rounded to hundredths) and interpret its strength,
- Provide the Desmos share link to your graph.
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