# C find the rgression equation for the given data an

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(c) Find the r:gression equation for the given data (An immediate equation by a calculator will be considered wrong! Show all the details to justifier your answer). (d) Give an estimation of y if x = 17.76. "
3. A random sample of 157 people asked about their ice cream flavour preferences (Chocolate, vanilla, and strawberry). The results are shown in the following contingency table. Chocolate Vanilla Strawberry Female 50 20 Male 17 25 (a) Complete the following table 15 30 Cell Observed Frequency 0 Expected Frequency E (O - E) 2 E Celll 50 Cell2 20 Cell3 15 Cell4 17 Cell5 25 Cell6 30 Sum 157 \
(b) Use a 5% significance level to test the claim that there is dependence between gender and preference for ice cream flavour.
4. Listed below is a sequence of 28 items, called H (high) and L HH LLL H LL HH L HH L H LL HHH LL We wish to use the runs test for randomness with a 0.01 significance level to test whether the above sequence was produced in a random manner. (a) Write the null hypothesis Ho and alternative hypothesis (b) Compute the value of the appropriate test statistic. (low): H LL HH L H 1
(c) Find the critical value(s), and state the right conclusion about the randomness of above sequence. the
5. A school is selling tickets to a spring musical. On the first day of ticket sales the sold 3 senior citizen tickets and 7 child tickets for a total of \$112. The school took in the second day by selling 5 senior citizen tickets and 11 child tickets. Find the price of citizen ticket and the price of a child ticket? (Hint: Write a system of equations that describes the above situation and specify what each variable does represent). school \$178 on a senior