Problems A
79
95% confidence interval of the v intercept
^0 794 M2 447,(0
= -0 794 ± 0 0727 volts
Note Problems 3 through 7 and 10 through 14 are, in part, given at two levels of sophistication and expectation The best" answers involve doing the part marked with an asterisk
(*) instead of the immediately preceding part The parts with an * involve the use of the
method of least squares, correlation coefficients, and confidence intervals for the slopes and
intercepts, the preceding parts do not
PROBLEMS
1 Construct graphs for each of the following functions, plotting q as ordmate
and p as abscissa
(a) q = 6p
(d) q = 10 p + 5
(b) q = 6p + 10
(e) q = 5 0 x IQ-'p
(c) qp = 20
2 Rearrange those equations in Problem 1 that do not give a straight-line relationship in such a way that, when plotted in a different fashion, they will yield
a straight line Plot each of these new equations, showing which function
extends along each axis
3 (a) Plot (as points) the solubility of Pb (NO ,) 2 in water as a function of temperature, the solubility S is given in g per 100 g of H 2 O The experimental
data are the following
5 (g/100 g H 2 O)
200
569
400
745
600
93 4
800
114 1
1000
131 3
(b) Draw a graph (add a line) on the plot made in (a), and determine the
mathematical equation for 5 as a function of t
*(c) (i) Using the method of least squares, find the equation of the line that best
fits the given data (;;) Find the correlation coefficient and the 959c confidence intervals for both the slope and the \ intercept of the best-fit equation (/H) On the plot made in (a), draw the line that corresponds to the
best-fit equation
4 In colonmetnc analysis, it is customary to use the fraction of light absorbed
by a given dissolved substance as a measure of the concentration of the sub
stance present in solution, monochromatic light must be used, and the length
of the absorbing light path must be known or must always remain the same
The incident light intensity is 7 0 , and the transmitted light intensity is /, the
fraction of light transmitted is 7// 0
(a) The following data are obtained for the absorption of light by MnO 4 ion at a
wavelength of 525 nm in a cell with a I 00 cm light path Construct a graph
79
95% confidence interval of the v intercept
^0 794 M2 447,(0
= -0 794 ± 0 0727 volts
Note Problems 3 through 7 and 10 through 14 are, in part, given at two levels of sophistication and expectation The best" answers involve doing the part marked with an asterisk
(*) instead of the immediately preceding part The parts with an * involve the use of the
method of least squares, correlation coefficients, and confidence intervals for the slopes and
intercepts, the preceding parts do not
PROBLEMS
1 Construct graphs for each of the following functions, plotting q as ordmate
and p as abscissa
(a) q = 6p
(d) q = 10 p + 5
(b) q = 6p + 10
(e) q = 5 0 x IQ-'p
(c) qp = 20
2 Rearrange those equations in Problem 1 that do not give a straight-line relationship in such a way that, when plotted in a different fashion, they will yield
a straight line Plot each of these new equations, showing which function
extends along each axis
3 (a) Plot (as points) the solubility of Pb (NO ,) 2 in water as a function of temperature, the solubility S is given in g per 100 g of H 2 O The experimental
data are the following
5 (g/100 g H 2 O)
200
569
400
745
600
93 4
800
114 1
1000
131 3
(b) Draw a graph (add a line) on the plot made in (a), and determine the
mathematical equation for 5 as a function of t
*(c) (i) Using the method of least squares, find the equation of the line that best
fits the given data (;;) Find the correlation coefficient and the 959c confidence intervals for both the slope and the \ intercept of the best-fit equation (/H) On the plot made in (a), draw the line that corresponds to the
best-fit equation
4 In colonmetnc analysis, it is customary to use the fraction of light absorbed
by a given dissolved substance as a measure of the concentration of the sub
stance present in solution, monochromatic light must be used, and the length
of the absorbing light path must be known or must always remain the same
The incident light intensity is 7 0 , and the transmitted light intensity is /, the
fraction of light transmitted is 7// 0
(a) The following data are obtained for the absorption of light by MnO 4 ion at a
wavelength of 525 nm in a cell with a I 00 cm light path Construct a graph