Which relationships would most likely be causal? check all that apply. a.) a positive correlation between time spent exercising and the number of calories burned b.) a negative correlation between temperature and coat sales c.)a positive correlation between time spent practicing free throws and free throw percentage d.)a positive correlation between time spent on the phone with friends and the number of friends e.) a negative correlation between temperature and the number of speeding tickets

Answer with explanation:

If value of Correlation coefficient(r) is positive, that is ,if , 0≤r≤1, it means there is positive correlation between two variables .The Meaning of term positive correlation is that , if one variable increases, other variable also increases  or if one variable decreases, other variable also decreases.

And, If value of Correlation coefficient(r) is negative, that is ,if , -1≤r≤0, it means there is negative correlation between two variables.The Meaning of term negative correlation is that , if one variable increases, other variable decreases ,or first variable decreases,second variable increases.

⇒If we spent more time on exercising ,amount of calories burnt will be more,Showing positive correlation between two variables.

⇒Rise in temperature will result in less number of coats sold.Means there is negative correlation between two variables.  

⇒If number of free throw increases, free throw percentage will also increase Results in Positive correlation between two variables.

⇒If you have more number of friends , it does not mean that you will spent more time on phone.You may be indulged on phone by doing other activities also, like watching movie, playing games,surfing ,browsing. So, more number of friends is not the only reason that is you are spending more time on phone.

So, we can't exactly Predict whether this is the only cause,that more number of friends means you spent more time on phone. We can't exactly say which kind of correlation it is.

⇒If temperature is above the normal temperature then also, your speed shouldn't exceed by a certain limit.So, temperature has no effect on speeding ticket.

Option A, B and C are Causal relationship.

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17