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In the production of a certain metal, we suspect that monthly production (Y) in tons is dependent on the number of people working (X 1

In the production of a certain metal, we suspect that monthly production (Y) in tons is dependent on the number of people working (X1) in the factory and the amount of water used (X2), in cubic meters. The table below shows the data.

Production Number of People water (m3)
7107 129 3067
6373 141 2828
6796 153 2891
9208 166 2994
14792 193 3082
14564 189 3898
11964 175 3502
13526 186 3060
12656 190 3211
14119 187 3286
16691 195 3542
14571 206 3125
13619 198 3022
14575 192 2922
14556 191 3950
18573 200 4488
15618 200 3295

1. Write down the generic form of a regression line with two independent variables.

2. Identify the null and alternative hypotheses for this MLR.

3. Using Excel, find the following:

  1. Adjusted r2 value
  2. Equation of the regression line
  3. p-Value for the regression
  4. Whether or not the correlation is statistically significant (<0.03)

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