horsepower (Y, in bhp) of a motor car engine was measured at a chosen set of values of running speed (X, in rpm). The data are given below (the first row is the running speed in rpm and the second row is the horsepower in bhp): rpm 1100 1400 1700 2300 2700 3200 3500 4000 4600 5200 5600 6100 Horsepower (bhp) 50.2 64.29 67.83 98.56 131.09 163.65 161.55 198.62 226.03 254.71 283.63 299.81 The mean and sum of squares of the rpm are 3450.0000 rpm and 173900000.0000 rpm^2 respectively; the mean of the horsepower values is 166.6642 bhp and the sum of the products of the two variables is 8506152.0000 rpm bhp. Please provide answers to the following to 3 decimals places where appropriate:
he horsepower (Y, in bhp) of a motor car engine was measured at a chosen set of values of running speed (X, in rpm). The data are given below (the first row is the running speed in rpm and the second row is the horsepower in bhp):
| rpm | 1100 | 1400 | 1700 | 2300 | 2700 | 3200 | 3500 | 4000 | 4600 | 5200 | 5600 | 6100 |
| Horsepower (bhp) | 50.2 | 64.29 | 67.83 | 98.56 | 131.09 | 163.65 | 161.55 | 198.62 | 226.03 | 254.71 | 283.63 | 299.81 |
The mean and sum of squares of the rpm are 3450.0000 rpm and 173900000.0000 rpm^2 respectively; the mean of the horsepower values is 166.6642 bhp and the sum of the products of the two variables is 8506152.0000 rpm bhp.
Please provide answers to the following to 3 decimals places where appropriate:
Part a)
Compute the regression line for these data, and provide your estimates of the slope and intercept parameters. Please round intermediate results to 6 decimal places.
Slope:
Intercept:
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