Question

In: Statistics and Probability

Index 1 2 3 4 5 6 7 Temperature (F) 72 71 78 75 81 77...

Index

1

2

3

4

5

6

7

Temperature (F)

72

71

78

75

81

77

68

Pair of Gloves

37

37

32

36

33

35

39

Taking temperature as an independent variable and pairs of gloves produced as a dependent variable, compute the least square’s regression line.

Solutions

Expert Solution

To calculate the least square regression line we need to find the following table calculation for the given sample as:

The mean of both dependent and independent sample is calculated as:

Also, the following sum of squares is calculated as:

Thus the Slope n and intercept m of the regression line is calculated as:

based on the slope and the intercept the regression equation is computed as:


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