The high temperature for seven January days in Chicago along with the number of cups of hot chocolate sold for those days at the C and C Coffee Shop are shown in the table below.

(a) Determine the correlation coefficient between the high temperature and the number of cups of hot chocolate sold. 

(b) Determine whether a correlation exists at α = 0.01.

(c) Determine the equation of the line of best fit for the high temperature and number of cups of hot chocolate sold. 

(d) Use the equation in part (c) to estimate the number of cups of hot chocolate sold if the daily high temperature is 33ºF.

Round both m and b the nearest hundredth.

Transcribed Image Text:

42 38 20 30 28 35 17 High temperature (°F) Cups of hot chocolate sold 35 45 60 52 55 47 65