In: Statistics and Probability
1. Listed below are altitudes (thousands of feet) and air temperatures (degree Fahrenheit).
Altitude |
3 |
10 |
14 |
22 |
28 |
31 |
33 |
Temperature |
57 |
37 |
24 |
-5 |
-30 |
-41 |
-54 |
a. Construct a scatterplot.
b. Find the value of the linear correlation coefficient r.
c. Find the regression equation and draw the regression line on the scatterplot in a).
d. Find the critical values from Table A-6 using α = .05 and draw the graph.
e. Determine whether there is sufficient evidence to support the claim of a linear correlation between altitudes and air temperatures.
f. Predict the air temperature at the altitude of 6.327 thousand feet.