Question

The minimum and maximum values of the correlation coefficient r are, respectively,

A. −1 and 1
B. 0 and +∞
C. −1 and 0
D. 0 and 1

Which of the following could be a value of the coefficient of determination r2?

A. −0.3646
B. 1.139
C. 0.5558
D. −1.0091

Joan put some data into her TI calculator. When she used its LinReg function, it displayed the following:

y = ax + b

a = 0.360

b = 1.765

r2 = 0.679

r = 0.824

What is the value of the correlation coefficient?

A. 0.824
B. 0.360
C. 0.679
D. 1.765

To the nearest thousandth, what is the slope of the line of best fit?

A. 0.360
B. 0.679
C. 1.765
D. 0.824

The correlation coefficient for the data is r=0.84. Is it appropriate to use a linear model to make predictions?

A. No
B. Yes

Assuming that it is correct to do linear regression on the data, use the linear model of the data, y^=−82.7+1.03x, to predict the lung capacity for a child whose height is 150 cm.

A. 90.64 ml
B. 154.5 ml
C. 71.8 ml
D. 162.74 ml

Which of the following could be a value of the coefficient of determination r2?

A. −0.3646
B. 1.139
C. 0.5558
D. −1.0091

The table below shows the total SAT scores and IQs of several students.

IQ	93	95	96	99	103	102	106	108	114	120
SAT	740	780	820	980	810	890	1000	1000	1030	1170

First, find the coefficients of the regression line, using IQ as the independent variable. Round your answers to three decimal places.

Slope:

Intercept:

Next, use the equation of the regression line to estimate the SAT score of a student whose IQ is 100. Round your answer to the nearest whole integer.

SAT:

Finally, give the correlation coefficient, rounded to three decimal places.

Correlation coefficient:

Answer 1

Ans 1 (a) The minimum and maximum values of correlation cofficient r is