Complete question:
Lovely lawns, inc., intends to use sales of lawn fertilizer to predict lawn mower sales. the store manager estimates a probable six-week lag between fertilizer sales and mower sales. the pertinent data are:
Period Fertilizer Sales (tons) Number of Mowers Sold (six-week lag)
1 1.4 9
2 1 7
3 1.5 10
4 1.8 12
5 2.1 13
6 1.5 7
7 1.3 5
8 1.2 5
9 1.6 8
10 1.3 7
11 1.6 11
12 1.3 9
13 1.4 10
14 1.8 12
a. Graph these data to see whether a linear equation might describe the relationship between fertilizer and mowers.
b. Obtain a linear regression line for the data
c. Predict expected lawn mower sales for Period 15, given fertilizer sales six weeks earlier of 2.3 tons.
Solution:
a. Find the attachment for graph
b.
Fertilizer Mowers
x y
1.4 9 1.96 81 12.6
1 7 1 49 7
1.5 10 2.25 100 15
1.8 12 3.24 144 21.6
2.1 13 4.4 116 27.3
1.5 7 2.25 49 10.5
1.35 5 1.69 25 6.5
1.2 5 1.44 25 6
1.6 8 2.56 64 12.8
1.3 7 1.69 49 9.1
1.6 11 2.56 121 17.6
1.3 9 1.69 81 11.7
1.4 10 1.96 100 14
1.8 12 3.24 144 21.6
Σ =20.8 125 31.94 1201 193.3
x = 1.486
y = 8.929
EXY- nXY 193.3- (149.486 -1.486)
Calculated using the formula b =9 = 31 .94 - (14 *1. 486 *1 A86 ) =7.31405
X2 - 7.31405
Calculated using Excel a =Y - bX = 8.929 - 7.31405 *1.486 = -1.938017
Y = a + bx = -1.93802 + 7.31405x
c. Using the formula
Y = a + bx = -1.58678 + 7.033058x
= 14.8843
Using Excel's Forecast
Forecast - 14.58926
Answer and Explanation:
b. education and training
Staff members are the people in total
institution who closely supervised all the daily life of inmates. Total
institution is a term which is used for a place in which people are living in
such a way that they are cut off from the rest of society or community and they
are under the officials (means that are in charge of that place and they have
total control on the people living in that place).
You can use an autocratic type of leadership for quick decisions, you can consider input not necessarily using it. Be upfront about it.