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4.2 Scatter Diagrams and Correlation 1. An ice cream shop keeps track of how much ice cream they sell versus the high temperature for the day. Here is their data for 12 days. Make a scatter diagram to represent the data. correlation ( x, 4)= 0.9575 Ice Cream Sales vs Temperature Temperature .C Ice Cream Sales X A 2 YAZ x * y 14.20 $215 201. 209 /46225 3053 16.40 $325 268. CILI| 105425 $330 11.90 $185 141.421 34225 2201 . 5 15.20 $332 231.04 10224 18.50 $406 3412.25 1448360 7511 22.10 $522 458. 41 2724841 1 534 . 2 19.40 $412 374 . 34 169744 7992.8 25.10 $614 430 . DI 1374994 154 11.4 23.40 $544 547. 54 295934 /12729.6 18.10 $421 327. 421 177241 7420 . 1 22.60 $445 510.74 198025 10057 17.20 $408 245. 84 141041 624) 7017. 44.3 Least Squares Regression 1. Your scatter diagram on the previous page should have looked like there is a strong linear correlation. Go back and use a ruler to draw an estimated least squares regression line (also known as a "line of best fit."). Don't do any math for this, just put the ruler on the dots and draw the line that looks the best to you. It will help you answer the next question if you make sure your line goes through at least two of the dots. 2. What is the slope of the line you drew? Use the slope formula m = 12 1. Interpret the X2 -X1 slope in the context of the example