A collection of paired data consists of the number of pounds of fertilizer (x) spread in a field and the amount of wheat (y) produced in that field. Fertilizer data ranged from 20 lb. to 85 lb. sample mean amount of fertilizer = 60 lb., sample mean amount of wheat produced = 23 (hundred) lb. Excel returns the following regression analysis.
Regression Statistics |
||
Multiple R |
0.865 |
|
R Square |
0.748 |
|
ANOVA |
||
df |
SS |
|
Regression |
1 |
749.067 |
Residual |
10 |
186.933 |
Total |
11 |
936.000 |
Coefficients |
Standard Error |
|
Intercept |
-0.245 |
3.574 |
pd. of fertilizer |
0.326 |
0.056 |
a. Determine if there is a significant linear relationship between the variables by the rho test.
b. Write the regression equation.
c. What percent of variation in amount of wheat produced cannot be explained by the regression equation?
d. What is the best predicted value of the amount of wheat produced if the amount of fertilizer is 90 pounds?
A collection of paired data consists of the number of pounds of fertilizer (x) spread in...
Bivariate data obtained for the paired variables x and y are shown below, in the table labelled "Sample data." These data are plotted in the scatter plot in Figure 1, which also displays the least-squares regression line for the data. The equation for this line is y = -0.17+ 1.17x. In the "Calculations" table are calculations involving the observed y values, the mean y of these values, and the values y predicted from the regression equation. Sample data Calculations 69...
Bivariate data obtained for the paired variables x and y are shown below, in the table labelled "Sample data." These data are plotted in the scatter plot in Figure 1, which also displays the least-squares regression line for the data. The equation for this line is y-23733-0.81 In the "Calculations" table are calculations involving the observed y values, the mean y of these values, and the values y predicted from the regression equation Sample data Calculations 107.7 155.1 117.3 135.2...