Question

The table below shows the temperature in degrees for eight consecutive days as well as the respective number of ice cream cones an ice cream shop sold on each of these days.

Temperature: 68 77 83 85 89 94 96 99
Number of cones: 403 447 457 465 489 503 543 576

about how many ice cream cones would you expect the shop to sell if the temperature one day is 106 degrees?

Answer 1

We have to find the equation of least squares regression line in order to find the number of ice cream cones that the shopkeeper to sell if the temperature is 106 degrees. We can use excel regression data analysis tool to find the equation of the regression line. The excel output is attached here.

The equation of the least squares regression line is:

`\hat{y}=46.587+5.080x`

Now, if the temperature is 106 degrees, then the number of cones expected to be sold is given below:

`\hat{y}=46.587+5.080 * 106`

`=585.1 \approx 585`

Therefore, the number of ice cream cones that the shopkeeper would expect to sell if the temperature is 106 degrees is 585.