10. answer true or false for the following statements. if false, justify what would make the statement true. a. if the least-squares equation relating the independent variable x and the dependent variable y for a given problem is y = 2x + 5, then an increase of 1 unit in x is associated with an increase of 2 units in y. b. if your computed correlation coefficient is r = +1.2, then you have better than a perfect positive correlation. c. a student might expect that there is a positive correlation between the age of his or her laptop and its resale value. d. in simple regression analysis, if the slope of the line is positive, then there is a positive correlation between the dependent variable y and the independent variable x. e. if there is no correlation between the independent and dependent variables, then the value of the correlation coefficient must be –1.

a) TRUE

b) FALSE

c)  FALSE

d) TRUE

e) FALSE

Step-by-step explanation:

a)

TRUE because the slope of the correlation line is 2  and this is the rate of change of y respect to x

b)

FALSE

The correlation coefficient r is always between -1 and 1, so it can never be greater than one

c)

FALSE

A student might expect that there is a positive correlation between the age of their laptop and its resale value only if after collecting a large enough sample of data that relates age of the student and price of resale of their laptop, he or she finds that there is a positive correlation coefficient r>0

d)

TRUE

If there is a positive correlation, then the greater the x, the greater the y

e)

FALSE

If there is no correlation between the independent and dependent variables, then the value of the correlation coefficient must be 0.

step-by-step explanation:

ddd

a

step-by-step explanation: