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The facility manager at a sports textile company wants to build a regression model to forecast monthly electricity cost. Two main variables are thought to

The facility manager at a sports textile company wants to build a regression model to forecast monthly electricity cost. Two main variables are thought to determine electricity cost (in $): average outdoor temperature (in F) and tons of product produced. A portion of the past year's monthly data is shown in the following table.

Electricity cost ($)

Average outdoor temperature (F)

Tons of product

24100 26 80
23700 32 73
26800 46 90
27400 61 69
30200 66 75
31500 73 80
30100 81 82
29500 85 80
26800 76 78
27500 61 79
28900 51 75
26000 39 69
26600 72 87
26600 41 74
24000 84 83
27300 56 84
29300 64 84
28500 85 69
29000 66 72
30200 61 80
30800 51 88
29000 57 70
25100 54 69
30800 74 86
27800 68 82
31800 50 87
28600 46 75
29600 29 90
27600 43 81
27800 45 69
24600 37 72
24200 48 71
27800 38 78
25100 26 84
24400 60 90
29900 36 74
24500 69 83
26900 42 87
27900 77 74
30600 71 86

a. What is the predicted electricity cost in a month during which the average outdoor temperature is 65 and 76 tons are produced? (2 Marks)

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