4. We experimentally investigated the dependence of cooling rates of ductile cast iron during the phase of heat treatment. We recorded data on the change of temperature of the cast iron AT and the number w of carbon particles in the cast iron, the measured values are shown in Table 3. Table 3: Cooling of ductile cast iron w [mm-] 345 238 345 311 338 304 276 338 254 276 344 AT (K] 45 20 65 30 55 30 45 65 30 45 55 Determine whether there is a statistically significant linear relationship between the tempera- ture change and the number of particles at the significance level a = 0.05. If so, find the two- sided confidence intervals for regression coefficients at the confidence level y =1- a.

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4. We experimentally investigated the dependence of cooling rates of ductile cast iron during
the phase of heat treatment. We recorded data on the change of temperature of the cast
iron AT and the number w of carbon particles in the cast iron, the measured values are shown
in Table 3.
Table 3: Cooling of ductile cast iron
w [mm-3] 345 238 345 311 338
AT (K]
304 276 338 254 276 344
45
20
65
30
55 30
45
65
30
45
55
Determine whether there is a statistically significant linear relationship between the tempera-
ture change and the number of particles at the significance level a = 0.05. If so, find the two-
sided confidence intervals for regression coefficients at the confidence level y =1- a.
please Solve this question quickly
Transcribed Image Text:4. We experimentally investigated the dependence of cooling rates of ductile cast iron during the phase of heat treatment. We recorded data on the change of temperature of the cast iron AT and the number w of carbon particles in the cast iron, the measured values are shown in Table 3. Table 3: Cooling of ductile cast iron w [mm-3] 345 238 345 311 338 AT (K] 304 276 338 254 276 344 45 20 65 30 55 30 45 65 30 45 55 Determine whether there is a statistically significant linear relationship between the tempera- ture change and the number of particles at the significance level a = 0.05. If so, find the two- sided confidence intervals for regression coefficients at the confidence level y =1- a. please Solve this question quickly
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