Question

5. In an area of the Midwest, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre).

Rain (inches) 10.5 8.8 13.4 12.5 18.8 10.3 7.0 15.6 16.0

Yield (bushels/acre) 50.5 46.2 58.8 59.0 82.4 49.2 31.9 76.0 78.8

Which is the best predicted value for y given x = 7.1? Assume that the variables x and y have a significant correlation.

A. 35.4

B. 35.2

C. 35.7

D. 35.9

Answer #1

We will find an equation of the regression line in 4 steps.

**Step 1:** Find as it
was done in the table below.

X |
Y |
X⋅Y |
X⋅X |

10.5 | 50.5 | 530.25 | 110.25 |

8.8 | 46.2 | 406.56 | 77.44 |

13.4 | 58.8 | 787.92 | 179.56 |

12.5 | 59 | 737.5 | 156.25 |

18.8 | 82.4 | 1549.12 | 353.44 |

10.3 | 49.2 | 506.76 | 106.09 |

7 | 31.9 | 223.3 | 49 |

15.6 | 76 | 1185.6 | 243.36 |

16 | 78.8 | 1260.8 | 256 |

**Step 2:** Find the sum of every column:

**Step 3:** Use the following equations to find
*a* and *b*:

**Step 4:** Substitute *a* and *b* in
regression equation formula

Which is the best predicted value for y given x = 7.1

y=4.267+4.379*7.1

y=35.4

In an area of the Midwest, records were kept on the relationship
between the rainfall (in inches)
and the yield of wheat (bushels per acre).
Rain (inches)
10.5
8.8
13.4
12.5
18.8
10.3
7.0
15.6
16.0
Yield (bushels/acre)
50.5
46.2
58.8
59.0
82.4
49.2
31.9
76.0
78.8
Find the test value.
Group of answer choices
3.529
3.16
13.31

1. The data below are ages and systolic blood pressures of 9
randomly selected adults.
Age 38 41 45 48 51 53 57 61 65
Pressure 116 120 123 131 142 145 148 150 152
Find the correlation coefficient r.
A. 1.488
B. 0.9210
C. 0.9597
D. 4.164
2. In an area of the Midwest, records were kept on the
relationship between the rainfall (in inches)
and the yield of wheat (bushels per acre).
Rain (inches)
10.5
8.8
13.4...

In an area of Russia, records were kept on the relationship
between the rainfall (in inches) and the yield of wheat (bushels
per acre).
Rainfall (inches)
Yield(Bushels per acre)
20.3
62.3
10.4
54.4
19.7
79.7
17.7
62.2
21.5
86.9
12.6
52
11.9
43
18.2
85.1
21.8
76.5
1. Create a scatterplot for the data above. The Yield is to be
the response variable. Describe the form, direction and strength of
the association between these two variables.
2. Calculate a LSRE...

In an area of the Great Plains, records were kept on the
relationship between the rainfall (in inches) and the yield of
wheat (bushels per acre).
Rainfall
13
11
16
15
21
13
10
18
19
Yield
55
49
60
63
85
60
36
80
83
Construct a scatter diagram for the data
Calculate the correlation coefficient
Determine the association

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