A sample of 6 head widths of seals (in cm) and the corresponding weights of the seals (in kg) were recorded. Given a linear correlation coefficient of 0.948 find the corresponding critical values assuming a 0.01 significance level. Is there sufficient evidence to conclude that there is a linear correlation?
A) Critical values=+-0.917; there is sufficient evidence to conclude that there is a linear correlation.
B) Critical values=+-0.917; there is NOT sufficient evidence to conclude that there is a linear correlation.
C) Critical values=+-0.959; there is sufficient evidence to conclude that there is a linear correlation.
D) Critical values=+-0.959; there is NOT sufficient evidence to conclude that there is a linear correlation.
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Using a significance level of 0.01, with 6 pairs of data, the corresponding critical values for a linear correlation coefficient are +/-0.917. Since the calculated correlation coefficient is 0.948, which is larger than the critical value, there is sufficient evidence to conclude that there is a linear correlation. Therefore, the answer is A) Critical values=+-0.917; there is sufficient evidence to conclude that there is a linear correlation.
1 answer