Answer:
1. Equation: y = -1.17491x + 81.791 (you may need to round!)
2. Correlation coefficient: -0.8566
3. Strong negative correlation because the correlation coefficient is close to -1
4. Sketch the scatterplot using north latitude as the x value and Jan mean temp as the y value on the graph
Explanation:
Step 1: Go to desmos graphing calculator
Step 2: Insert a table
Step 3: Insert values into the table (shown in image) using the north latitude as the x value and jan mean temp as y value
Step 4: Go to line 2, and type "
" except replace "=" with ~ as shown in the image. Put the 1s as subscripts
Step 5: Scroll out. Desmos would've graphed the line of best fit and plotted the points. Under statistics, you can see that r is the correlation coefficient
Step 6: The correlation coefficient r will be between -1 and 1. If it is closer to -1 or 1, it is a strong correlation. If it is closer to 0, it is a weak correlation. For example. -0.6 is closer to -1 than it is to 0, so it is a strong negative correlation. You can see that r here is -0.8566, which is strong negative.
Step 7: Lastly, you need to make the equation. It will be in the form y = mx + b. If you look under "parameters", there will be a value for m and b. Plug that in to the equation. Check to see if you need to round.
Step 8: To graph the scatterplots, you can use the graph and the points that desmos plotted as a reference. Good luck!
I hope I did it right, we just finished this at school and I got 100% on the test. Comment with any questions. Best of luck! - brainpop72