The owner of an ice cream shop wants to determine whether there is a relationship between ice cream sales and temperature. the owner collects data on temperature and sales for a random sample of 30 days and runs a regression to determine if there is a relationship between temperature (in degrees) and ice cream sales. the p-value for the two-sided hypothesis test is 0.04. how would you interpret the p-value

Step-by-step explanation:

Given that the owner of an ice cream shop wants to determine whether there is a relationship between ice cream sales and temperature. The owner collects data on temperature and sales for a random sample of 30 days and runs a regression to determine if there is a relationship between temperature (in degrees) and ice cream sales.

The null hypothesis would have been slope =0 with alternate slope not equal to 0

This is a two tailed test.  Let alpha = 5%

p value = 0.04(given)

p <0.05 our alpha

Hence we reject null hypothesis.

The p value 0.04 states that it is less than 0.05 which indicates that there should be a linear relationship between temperature and ice cream sales.

the circle one

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)