6.5. Extension of steel wires Ten steel wires of diameter 0.5 mm and length 2.5 m were extended in a laboratory by applying vertical forces of varying magnitudes. Results are as follows Force, kg...


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6.5. Extension of steel wires Ten steel wires of diameter 0.5 mm and length 2.5 m were extended in a<br>laboratory by applying vertical forces of varying magnitudes. Results are as follows<br>Force, kg<br>Increase in length, mm<br>15<br>19<br>25<br>35<br>42<br>48<br>53<br>56<br>62<br>65<br>1.7<br>2.1<br>2.5<br>3.4<br>3.9<br>4.9<br>5.4<br>5.7<br>6.6<br>7.2<br>(1)<br>Estimate the parameters of a simple linear regression model with force as the explanatory variable<br>(2)<br>Find 95 percent confidence limits for the two parameters<br>(3)<br>Test the hypothesis that the intercept is zero<br>(4)<br>What are the conclusions?<br>

Extracted text: 6.5. Extension of steel wires Ten steel wires of diameter 0.5 mm and length 2.5 m were extended in a laboratory by applying vertical forces of varying magnitudes. Results are as follows Force, kg Increase in length, mm 15 19 25 35 42 48 53 56 62 65 1.7 2.1 2.5 3.4 3.9 4.9 5.4 5.7 6.6 7.2 (1) Estimate the parameters of a simple linear regression model with force as the explanatory variable (2) Find 95 percent confidence limits for the two parameters (3) Test the hypothesis that the intercept is zero (4) What are the conclusions?

Jun 10, 2022
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