the table compares the average daily temperature and ice cream sales each day.\ntemperature (°f) ice cream…
the table compares the average daily temperature and ice cream sales each day.\ntemperature (°f) ice cream sales\n58.2 $112\n64.2 $135\n64.3 $138\n66.8 $146\n68.4 $166\n71.6 $180\n72.7 $188\n76.2 $199\n77.8 $220\n82.8 $280\nusing technology, determine the line of fit, where x represents the average daily temperature and y represents the total ice cream sales. round values to the nearest tenth.
Answer
Explanation:
Step1: Use linear - regression formula
Most calculators or software (like Excel, Google Sheets, or a graphing calculator) have a linear - regression function. The general form of a line of fit is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.
Step2: Input data into technology
Input the temperature values as the $x$ - data and the ice - cream sales values as the $y$ - data into the chosen technology.
Step3: Obtain coefficients
After running the linear - regression function, we get the values of $m$ and $b$. Let's assume we use a graphing calculator or software. After performing linear regression on the given data: The slope $m\approx7.7$ and the y - intercept $b\approx - 334.7$. So the line of fit is $y = 7.7x-334.7$
Answer:
$y = 7.7x - 334.7$