Question

Suppose A gas station monitors how many bags of ice they sell along with the maximum daily temperature for 100 days. A gas station data analysis plots the data in a scatterplot with temperature, in degrees Fahrenheit, on the horizontal axis and the number of bags of ice sword on the vertical axis. She calculates a linear correlation coefficient of r= 0.9972. The mean Temperature is 83.8959 degrees Fahrenheit with a standard deviation of 11.2921 Degrees Fahrenheit. The mean number of ice bags sold is 70.3873 with a standard deviation of 27.8 913.

Answer 1

hello your question is incomplete attached below is the complete question

answer :

a ≈ - 136

b = 2.46

Explanation:

A) we apply the formula for slope in regression

b = r *
`(Sy)/(Sx)` --------- ( 1 )

where:

standard deviation (Sy) = 27.8913

standard deviation ( Sx ) = 11.2921

Linear correlation coefficient ( r ) = 0.9972

substitute given values into equation 1

b = 2.46

for intercept A

a = Y - b * X --------- ( 2 )

Mean number of ice bags sold ( Y )= 70.2873

b = 2.46

Mean temperature ( X )= 83.8959

substitute given values into equation 2

a = 70.2873 - ( 2.46 * 83.8959 )

= - 135.997