Fifteen houses rented recently in a certain county provide the data: size of the housex(in sq. ft.) and the monthly renty(in thousands of dollars) of the house. The sample data are summarized by the following information:

n= 15, x= 16,560, y= 21.685, xy= 28,474.85, x²= 22,557,866, y²= 36.93, 650 x 2,400

Which of the following is the linear correlation coefficient for these sample data?

a. -0.929

b. 0.114

c. 0.996

d. 0.929

e. -0.996

Which of the following statements interpret the meaning of the linear correlation coefficient in the context of the problem?

Select one or more:

a.The linear relationship between the size of the house and its monthly rent is positive and weak.

b.The linear relationship between the size of the house and its monthly rent is positive and reasonably strong.

c.There is no linear relationship between the size of the house and its monthly rent.

d.The linear relationship between the size of the house and its monthly rent is negative and reasonably weak.

e.The linear relationship between the size of the house and its monthly rent is negative and strong.

Which of the following is the slope of the least squares regression line?

Hint: use the equation in the formula slope = SSxy/SSxx

a.0.2748

b.-813.0121

c.-0.0011

d.813.0121

e.0.0011

They-intercept of the least squares regression line is??

Hint: Use the formula provided in the notes. ybar = slope(xbar) + yintercept using algebra you get ybar - slope(xbar) = yintercept

to find xbar = sum of x/n ybar = sum of y/n

Select one or more:

a.-813.0121.

b.-0.0011.

c.0.2748.

d.813.0121.

e.0.0011.

Which of the following is the least squares regression line?

Hint: now that you have found slope and intercept plug into the equation y = mx + b

Select one or more:

a.y = -813.0121x+ 0.2748

b.y= -0.0011x+ 0.2748

c.y = 0.2748x+ 0.0011

d.y = 813.0121x- 0.0011

e.y = 0.0011x+ 0.2748

Which of the following statements interprets the meaning of the slope of the least squares regression line in the context of the problem?

Select one or more:

a.For each unit increase inx(additional size of 1 square feet) the average monthly rent increases by about 0.2748 units (about $274.80).

b.For each unit increase inx(additional size of 1 square feet) the average monthly rent increases by about 0.0011 units (about $1.1).

c.For each unit increase inx(additional size of 1 square feet) the average monthly rent decreases by about 0.0011 units (about $1.1).

d.For each unit increase inx(additional size of 1 square feet) the average monthly rent decreases by about 813.0121 units (about $8,13,012.10).

e.For each unit increase inx(additional size of 1 square feet) the average monthly rent decreases by about 0.2748 units (about $274.80).

Suppose a rented house is selected at random from the county whose size is 700 sq. ft. Using the regression equation, which of the following predicts its monthly rent?

Select one or more: a.$192.36b.$923.54c.$560.87d.$1,017.20 e.$600.46